EP3465055B1 - Heat exchanger tube - Google Patents
Heat exchanger tube Download PDFInfo
- Publication number
- EP3465055B1 EP3465055B1 EP17725858.9A EP17725858A EP3465055B1 EP 3465055 B1 EP3465055 B1 EP 3465055B1 EP 17725858 A EP17725858 A EP 17725858A EP 3465055 B1 EP3465055 B1 EP 3465055B1
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- EP
- European Patent Office
- Prior art keywords
- pipe
- heat transfer
- projections
- rib
- transfer pipe
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
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- 239000012530 fluid Substances 0.000 description 8
- 238000001704 evaporation Methods 0.000 description 6
- 238000007373 indentation Methods 0.000 description 6
- 230000008020 evaporation Effects 0.000 description 5
- 230000008901 benefit Effects 0.000 description 4
- 230000008859 change Effects 0.000 description 4
- 230000002441 reversible effect Effects 0.000 description 4
- 239000007788 liquid Substances 0.000 description 3
- 238000000034 method Methods 0.000 description 3
- 238000009835 boiling Methods 0.000 description 2
- 230000007423 decrease Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 230000008092 positive effect Effects 0.000 description 2
- 230000008569 process Effects 0.000 description 2
- 239000003507 refrigerant Substances 0.000 description 2
- 238000004378 air conditioning Methods 0.000 description 1
- 238000005452 bending Methods 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 230000005494 condensation Effects 0.000 description 1
- 238000009833 condensation Methods 0.000 description 1
- 230000001419 dependent effect Effects 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 230000018109 developmental process Effects 0.000 description 1
- 230000004907 flux Effects 0.000 description 1
- 238000007654 immersion Methods 0.000 description 1
- 230000001788 irregular Effects 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 230000006911 nucleation Effects 0.000 description 1
- 238000010899 nucleation Methods 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 239000011148 porous material Substances 0.000 description 1
- 238000005057 refrigeration Methods 0.000 description 1
- 230000001105 regulatory effect Effects 0.000 description 1
- 238000005096 rolling process Methods 0.000 description 1
- 230000003313 weakening effect Effects 0.000 description 1
Images
Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F28—HEAT EXCHANGE IN GENERAL
- F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
- F28F1/00—Tubular elements; Assemblies of tubular elements
- F28F1/10—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses
- F28F1/12—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only outside the tubular element
- F28F1/34—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only outside the tubular element and extending obliquely
- F28F1/36—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only outside the tubular element and extending obliquely the means being helically wound fins or wire spirals
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F28—HEAT EXCHANGE IN GENERAL
- F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
- F28F1/00—Tubular elements; Assemblies of tubular elements
- F28F1/10—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses
- F28F1/12—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only outside the tubular element
- F28F1/14—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only outside the tubular element and extending longitudinally
- F28F1/16—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only outside the tubular element and extending longitudinally the means being integral with the element, e.g. formed by extrusion
- F28F1/18—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only outside the tubular element and extending longitudinally the means being integral with the element, e.g. formed by extrusion the element being built-up from finned sections
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F28—HEAT EXCHANGE IN GENERAL
- F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
- F28F1/00—Tubular elements; Assemblies of tubular elements
- F28F1/10—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses
- F28F1/40—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being only inside the tubular element
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F28—HEAT EXCHANGE IN GENERAL
- F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
- F28F1/00—Tubular elements; Assemblies of tubular elements
- F28F1/10—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses
- F28F1/42—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being both outside and inside the tubular element
- F28F1/422—Tubular elements and assemblies thereof with means for increasing heat-transfer area, e.g. with fins, with projections, with recesses the means being both outside and inside the tubular element with outside means integral with the tubular element and inside means integral with the tubular element
Definitions
- the present invention relates to a heat exchanger tube according to the preamble of claim 1.
- Heat transfer occurs in many areas of refrigeration and air conditioning technology as well as in process and energy technology. Shell and tube heat exchangers are often used for heat transfer in these areas.
- a liquid flows on the inside of the pipe, which is cooled or heated depending on the direction of the heat flow. The heat is given off to the medium on the outside of the pipe or withdrawn from it.
- Heat exchanger tubes structured on one or both sides for tube bundle heat exchangers usually have at least one structured area as well as smooth end pieces and possibly smooth intermediate pieces.
- the smooth end or intermediate pieces delimit the structured areas.
- the outside diameter of the structured areas should not be larger than the outside so that the tube can be easily installed in the tube bundle heat exchanger Diameter of smooth end and intermediate pieces.
- Integrally rolled finned tubes are often used as structured heat exchanger tubes. Integrally rolled finned tubes are understood to mean finned tubes in which the fins were formed from the material of the wall of a plain tube. In many cases, finned tubes have a large number of axially parallel or helically circumferential ribs on the inside of the tube, which increase the inner surface and improve the heat transfer coefficient on the inside of the tube. On the outside, the finned tubes have annular or helical fins running all the way around.
- the axially parallel or helically circumferential inner ribs can be provided with grooves, as described in the publication DE 101 56 374 C1 and DE 10 2006 008 083 B4 is described. It is important here that the dimensions of the inner and outer structure of the finned tube can be adjusted independently of one another by the use of profiled rolling mandrels disclosed there for producing the inner ribs and grooves. As a result, the structures on the outside and inside can be adapted to the respective requirements and the tube can be designed in this way.
- the pamphlets U.S. 2005/0145377 A1 and U.S. 03/104736 A1 disclose improved heat transfer surfaces that facilitate heat transfer from one side of the surface to the other. Described herein is another method of improving heat transfer surfaces by using a tool to cut the inner surface of a tube.
- the tool has at least one tip with a cutting edge and a lifting edge.
- Protrusions are formed by cutting the inner surface of a heat exchanger tube and raising the cut surface.
- Boiling surfaces produced in this way have a multiplicity of primary grooves, projections and secondary grooves, for example to form boiling cavities.
- the object of the present invention is to further develop the internal and external structures of heat exchanger tubes of the aforementioned type in such a way that a further increase in performance is achieved compared to tubes that are already known.
- the structured area can in principle be formed on the outside of the tube and the inside of the tube.
- the rib sections according to the invention are to be arranged inside the pipe.
- the structures described can be used for both evaporator and condenser tubes.
- Protrusion height is conveniently defined as the dimension of a protrusion in the radial direction. The height of the projection is then, in the radial direction, the distance starting from the pipe wall to the point of the projection which is furthest away from the pipe wall.
- the notch depth is the distance measured in the radial direction from the original rib tip to the deepest point of the notch. In other words: the notch depth is the difference between the original rib height and the remaining rib height at the deepest point of a notch.
- a changing notch depth is also synonymous with the fact that the deepest point of the notch alternates and consequently changes the distance to the pipe wall. Equally important here is that the respective deepest point of the notches, which in this context is referred to as the notch base, alternates at a distance from the longitudinal axis of the pipe over successive notches in the direction of the ribs.
- the invention is based on the consideration that a different notch depth essentially results in a different height, orientation and shape of the projections relative to one another. It follows that the Projections deviate from a regulated order. This requires an optimized heat transfer with the lowest possible pressure loss in the single-phase flow, since the fluid boundary layer, which is an obstacle to good heat transfer, is interrupted by additionally generated turbulence. Compared to a uniform, homogeneous arrangement of the projections, this targeted interruption of the boundary layer has a particularly positive effect on the heat transfer coefficient.
- the shapes, heights and arrangement of the projections can be adjusted by setting suitable cutting knives or cutting geometries and by individually adapted rib shapes and geometries.
- the projections cause irregular immersion in the laminar flow core and thus optimized heat conduction from the tube wall into the laminar flow core or from the laminar flow core to the tube wall.
- These optimizations for the turbulent and laminar flow form are realized by the different cutting depths and orientation of the projections according to the solution according to the invention.
- the indentations that are adjacent at least by one projection vary in the indentation depth by at least 10%.
- the variation in notch depth can be at least 20% or even 50%. This results in projections of different heights, which in turn lead to an interruption in the boundary layer and to an increase in turbulence and thus to an increase in the heat transfer coefficient.
- the maximum notch depth can extend as far as the pipe wall. This breaks the boundary layer and increases turbulence. This leads to a Increase in the heat transfer coefficient. Indentations that extend into the tube wall tend to be disadvantageous and can lead to an undesirable weakening of the material in the tube wall without, in return, having a significantly further positive effect on the heat transfer coefficient.
- the indentations may be formed by cutting the inner ribs with a cutting depth transverse to the rib path to form layers of ribs and raising the layers of ribs with a main orientation along the rib path between primary grooves.
- the process-side structuring of the heat exchanger tube according to the invention can be produced using a tool which in the DE 603 17 506 T2 is already described.
- the disclosure of this reference DE 603 17 506 T2 is fully included in the available documents.
- the projection height and the distance can be made variable and individually adapted to the requirements, for example the viscosity of the liquid or the flow rate.
- the tool used has a cutting edge for cutting through the fins on the inner surface of the tube to create layers of fins and a lifting edge for lifting the layers of fins to form the projections.
- the protrusions are formed without removing metal from the inner surface of the tube.
- the protrusions on the inner surface of the tube may be formed in the same or different processing as the formation of the ribs.
- the protrusion height and distance can be made variable and individually adapted to the requirements of the fluid in question, for example with regard to the viscosity of the liquid and the flow rate.
- At least one projection can protrude from the main alignment along the course of the ribs over the primary groove. This has the advantage that the boundary layer formed in the space between the ribs is interrupted by this projection protruding into the primary groove, which results in improved heat transfer.
- the sections of the rib are unchanged between the groups. Further positive influences on the heat transfer through the interruption of the boundary layer can be derived from this, since different divisions / groupings and alternating rib shapes increase the effect described above.
- a plurality of projections can have a surface parallel to the longitudinal axis of the tube at the point furthest away from the tube wall.
- the projections can vary in projection height, shape and orientation.
- the individual projections can be specifically adapted to one another and varied in relation to one another in order to dip into the different boundary layers of the flow, especially in the case of laminar flow, through different rib heights, in order to dissipate the heat to the tube wall.
- the height of the protrusion and the distance can be individually adapted to the requirements, e.g. viscosity of the fluid, flow rate, etc.
- a projection can have a pointed tip on the side facing away from the tube wall. This results in optimized tip condensation for condenser tubes using two-phase fluids.
- a projection on the of have a curved tip on the side facing away from the pipe wall, the local radius of curvature of which is reduced starting from the pipe wall with increasing distance.
- the projections can have a different shape and/or height from the beginning of the pipe along the longitudinal axis of the pipe to the opposite end of the pipe.
- the advantage of this is a targeted adjustment of the heat transfer from the beginning of the pipe to the end of the pipe.
- the tips of at least two projections can touch or cross one another along the course of the ribs; which is particularly advantageous in reversible operation during phase change, since the projections for the liquefaction protrude far out of the condensate and form a kind of cavity for the evaporation.
- the tips of at least two projections can touch or cross one another across the primary groove. This, in turn, is advantageous in reversible operation during the phase change, since the projections for the liquefaction protrude far out of the condensate and form a type of cavity for the evaporation.
- At least one of the projections be deformed in such a way that its tip touches the inside or outside of the pipe. This is advantageous in particular in reversible operation during the phase change, since the projections form a kind of cavity for the liquefaction for the evaporation and thus bubble nucleation sites. This leads to increased heat transfer coefficients during the evaporation process.
- the heat exchanger tube 1 shows schematically an oblique view of a tube section of the heat exchanger tube 1 with the structure according to the invention on the tube inside 22.
- the heat exchanger tube 1 has a tube wall 2, a tube outside 21 and a tube inside 22 shaped.
- the longitudinal axis A of the tube runs at a certain angle relative to the ribs 3 .
- Continuously extending primary grooves 4 are formed between each adjacent ribs 3 .
- the projections 6 are arranged in groups 10 which are periodically repeated along the rib path.
- the projections 6 are formed by cutting the ribs 3 with a cutting depth transverse to the rib path to form layers of ribs and by raising the layers of ribs with a main orientation along the rib path between primary grooves 4 .
- the indentations 7 are formed in a rib 3 between the projections 6 within the group 10 with an alternating indentation depth.
- FIG. 2 shows schematically a rib section 31 with different cutting or notching depths t 1 , t 2 , t 3 .
- the terms cutting depth and notch depth represent the same terminology. Dashed is indicated in the 2 the original formed helical circumferential rib 3. From this the projections 6 are cut by cutting the rib 3 with a notch/cutting depth t 1 , t 2 , t 3 transverse to the rib path to form rib layers and by raising the rib layers with a main orientation along the rib path shaped. The different notch/cutting depths t 1 , t 2 , t 3 are consequently dimensioned based on the notch depth of the original rib in the radial direction.
- the projection height h is in 2 is plotted as the dimension of a protrusion in the radial direction.
- the projection height h is then in the radial direction Distance starting from the tube wall to the point of the projection that is furthest away from the tube wall.
- the notch depth t 1 , t 2 , t 3 is the distance measured in the radial direction, starting from the original rib tip to the deepest point of the notch.
- the notch depth is the difference between the original rib height and the remaining rib height at the deepest point of a notch.
- FIG. 3 shows schematically a rib section 31 with a structural element 6 protruding over the primary groove 4.
- This is a projection 6, which extends from the main alignment with the tip 62 along the course of the rib over the primary groove 4. The further the projection is formed, the more the boundary layer of the fluid formed in the space between the ribs is disturbed, which results in improved heat transfer.
- FIG. 4 shows schematically a rib section 31 with a projection 6 curved in the direction of the ribs at the tip 62.
- the projection 6 has a changing course of curvature at the curved tip 62.
- the local radius of curvature decreases with increasing distance from the pipe wall. In other words, the radius of curvature decreases towards the tip along the line indicated by the points P1, P2, P3.
- This has the advantage that the condensate that forms at the tip 62 in the case of two-phase fluids is transported more quickly to the base of the ribs due to the increasing convex curvature. This optimizes the heat transfer during liquefaction.
- figure 5 shows schematically a fin section 31 with a projection 6 with a parallel surface 61 at the point furthest from the tube wall in the area of the tip 62.
- Rib portions 31 shown can in the respective Groups can be involved individually or in larger numbers.
- FIG. 6 shows schematically a rib section 31 with two mutually touching projections 6 along the course of the ribs.
- FIG 7 schematically a rib section 31 with two along the course of the ribs mutually crossing projections 6.
- FIG. 12 shows schematically a rib section 31 with two projections touching each other across the primary groove 4.
- FIG. 9 shows schematically a rib section 31 with two mutually crossing projections 6 over the primary groove 4.
- the structural elements shown are advantageous, especially in reversible operation with two-phase fluids, that they form a kind of cavity for evaporation.
- the cavities of this special type form the exit points for bubble nuclei of an evaporating fluid.
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Description
Die vorliegende Erfindung betrifft ein Wärmeübertragerrohr gemäß dem Oberbegriff des Anspruchs 1.The present invention relates to a heat exchanger tube according to the preamble of
Wärmeübertragung tritt in vielen Bereichen der Kälte- und Klimatechnik sowie in der Prozess- und Energietechnik auf. Zur Wärmeübertragung werden in diesen Gebieten häufig Rohrbündelwärmeaustauscher eingesetzt. In vielen Anwendungen strömt hierbei auf der Rohrinnenseite eine Flüssigkeit, die abhängig von der Richtung des Wärmestroms abgekühlt oder erwärmt wird. Die Wärme wird an das sich auf der Rohraußenseite befindende Medium abgegeben oder diesem entzogen.Heat transfer occurs in many areas of refrigeration and air conditioning technology as well as in process and energy technology. Shell and tube heat exchangers are often used for heat transfer in these areas. In many applications, a liquid flows on the inside of the pipe, which is cooled or heated depending on the direction of the heat flow. The heat is given off to the medium on the outside of the pipe or withdrawn from it.
Es ist allgemein bekannt, dass in Rohrbündelwärmeaustauschern anstelle von Glattrohren strukturierte Rohre eingesetzt werden. Durch die Strukturen wird der Wärmedurchgang verbessert. Die Wärmestromdichte wird dadurch erhöht und der Wärmeaustauscher kann kompakter gebaut werden. Alternativ kann die Wärmestromdichte beibehalten und die treibende Temperaturdifferenz erniedrigt werden, wodurch eine energieeffizientere Wärmeübertragung möglich ist.It is generally known that structured tubes are used in tube bundle heat exchangers instead of plain tubes. The heat transfer is improved by the structures. This increases the heat flow density and the heat exchanger can be made more compact. Alternatively, the heat flux density can be maintained and the driving temperature difference lowered, allowing for more energy-efficient heat transfer.
Ein- oder beidseitig strukturierte Wärmeübertragerrohre für Rohrbündelwärmeaustauscher besitzen üblicherweise mindestens einen strukturierten Bereich sowie glatte Endstücke und eventuell glatte Zwischenstücke. Die glatten End- oder Zwischenstücke begrenzen die strukturierten Bereiche. Damit das Rohr problemlos in den Rohrbündelwärmeaustauscher eingebaut werden kann, sollte der äußere Durchmesser der strukturierten Bereiche nicht größer sein als der äußere Durchmesser der glatten End- und Zwischenstücke.Heat exchanger tubes structured on one or both sides for tube bundle heat exchangers usually have at least one structured area as well as smooth end pieces and possibly smooth intermediate pieces. The smooth end or intermediate pieces delimit the structured areas. The outside diameter of the structured areas should not be larger than the outside so that the tube can be easily installed in the tube bundle heat exchanger Diameter of smooth end and intermediate pieces.
Als strukturierte Wärmeübertragerrohre werden häufig integral gewalzte Rippenrohre verwendet. Unter integral gewalzten Rippenrohren werden berippte Rohre verstanden, bei denen die Rippen aus dem Material der Wandung eines Glattrohres geformt wurden. In vielen Fällen besitzen Rippenrohre auf der Rohrinnenseite eine Vielzahl von achsparallelen oder schraubenlinienförmig umlaufenden Rippen, die die innere Oberfläche vergrößern und den Wärmeübergangskoeffizient auf der Rohrinnenseite verbessern. Auf ihrer Außenseite besitzen die Rippenrohre ring- oder schraubenförmig umlaufende Rippen.Integrally rolled finned tubes are often used as structured heat exchanger tubes. Integrally rolled finned tubes are understood to mean finned tubes in which the fins were formed from the material of the wall of a plain tube. In many cases, finned tubes have a large number of axially parallel or helically circumferential ribs on the inside of the tube, which increase the inner surface and improve the heat transfer coefficient on the inside of the tube. On the outside, the finned tubes have annular or helical fins running all the way around.
In der Vergangenheit wurden viele Möglichkeiten entwickelt, je nach Anwendung den Wärmeübergang auf der Außenseite von integral gewalzten Rippenrohren weiter zu steigern, indem die Rippen auf der Rohraußenseite mit weiteren Strukturmerkmalen versehen werden. Wie beispielsweise aus der Druckschrift
Die vorstehend genannten Leistungsverbesserungen auf der Rohraußenseite haben zur Folge, dass der Hauptanteil des gesamten Wärmeübergangswiderstands auf die Rohrinnenseite verschoben wird. Dieser Effekt tritt insbesondere bei kleinen Strömungsgeschwindigkeiten auf der Rohrinnenseite, wie beispielsweise beim Teillastbetrieb, auf. Um den gesamten Wärmeübergangswiderstand signifikant zu reduzieren, ist es notwendig, den Wärmeübergangskoeffizient auf der Rohrinnenseite weiter zu erhöhen.The above-mentioned performance improvements on the outside of the tube mean that the majority of the overall heat transfer resistance is shifted to the inside of the tube. This effect occurs in particular at low flow velocities on the inside of the pipe, such as during part-load operation. To significantly increase the overall heat transfer resistance reduce, it is necessary to further increase the heat transfer coefficient on the inside of the tube.
Um den Wärmeübergang der Rohrinnenseite zu erhöhen, können die achsparallelen oder schraubenlinienförmig umlaufenden Innenrippen mit Nuten versehen werden, wie es in der Druckschrift
Die Druckschriften
Vor diesem Hintergrund besteht die Aufgabe der vorliegenden Erfindung darin, Innen- bzw. Außenstrukturen von Wärmeübertragerrohren der vorgenannten Art so weiterzubilden, dass eine gegenüber bereits bekannten Rohre eine weitere Leistungssteigerung erzielt wird.Against this background, the object of the present invention is to further develop the internal and external structures of heat exchanger tubes of the aforementioned type in such a way that a further increase in performance is achieved compared to tubes that are already known.
Die Erfindung wird durch die Merkmale des Anspruchs 1 wiedergegeben. Die weiteren rückbezogenen Ansprüche betreffen vorteilhafte Aus- und Weiterbildungen der Erfindung.The invention is represented by the features of
Hierbei kann der strukturierte Bereich prinzipiell auf der Rohraußenseite und der Rohrinnenseite ausgeformt sein. Erfindungsgemäss ist allerdings, die erfindungsgemäßen Rippenabschnitte im Rohrinneren anzuordnen. Die beschriebenen Strukturen lassen sich sowohl für Verdampfer- als auch für Kondensatorrohre einsetzen.In this case, the structured area can in principle be formed on the outside of the tube and the inside of the tube. However, according to the invention, the rib sections according to the invention are to be arranged inside the pipe. The structures described can be used for both evaporator and condenser tubes.
Die Vorsprungshöhe wird zweckmäßigerweise als die Abmessung eines Vorsprungs in radialer Richtung definiert. Die Vorsprungshöhe ist dann in radialer Richtung die Strecke ausgehend von der Rohrwand bis zur von der Rohrwand entferntesten Stelle des Vorsprungs.Protrusion height is conveniently defined as the dimension of a protrusion in the radial direction. The height of the projection is then, in the radial direction, the distance starting from the pipe wall to the point of the projection which is furthest away from the pipe wall.
Die Kerbtiefe ist die in radialer Richtung gemessene Strecke ausgehend von der originären Rippenspitze bis zur tiefsten Stelle der Kerbe. Mit anderen Worten: Die Kerbtiefe ist die Differenz der originären Rippenhöhe und der an der tiefsten Stelle einer Kerbe verbleibenden Restrippenhöhe.The notch depth is the distance measured in the radial direction from the original rib tip to the deepest point of the notch. In other words: the notch depth is the difference between the original rib height and the remaining rib height at the deepest point of a notch.
Eine wechselnde Kerbtiefe ist auch damit gleichbedeutend, dass die jeweils tiefste Stelle der Kerben alterniert und folglich den Abstand zur Rohrwand verändert. Hierzu gleichbedeutend ist zudem, dass die jeweils tiefste Stelle der Kerben, die in diesem Zusammenhang als Kerbgrund bezeichnet wird, im Abstand von der Rohrlängsachse über in Rippenrichtung aufeinanderfolgende Kerben alterniert.A changing notch depth is also synonymous with the fact that the deepest point of the notch alternates and consequently changes the distance to the pipe wall. Equally important here is that the respective deepest point of the notches, which in this context is referred to as the notch base, alternates at a distance from the longitudinal axis of the pipe over successive notches in the direction of the ribs.
Die Erfindung geht dabei von der Überlegung aus, dass sich aus einer unterschiedlichen Kerbtiefe im Wesentlichen eine unterschiedliche Höhe, Ausrichtung und Form der Vorsprünge zueinander ergibt. Daraus resultiert, dass die Vorsprünge von einer geregelten Ordnung abweichen. Dies bedingt einen optimierten Wärmeübergang bei möglichst geringem Druckverlust bei der einphasigen Strömung, da die Fluidgrenzschicht, welche hinderlich für einen guten Wärmeübergang ist, durch zusätzlich erzeugte Turbulenzen unterbrochen wird. Gegenüber einer gleichförmigen homogenen Anordnung der Vorsprünge wirkt sich diese gezielte Unterbrechung der Grenzschicht besonders positiv auf den Wärmeübergangskoeffizienten aus. Die Formen, Höhen und Anordnung der Vorsprünge kann durch das Einstellen geeigneter Schneidmesser bzw. Schneidgeometrien sowie durch individuell angepasste Rippenformen und Geometrien angepasst werden.The invention is based on the consideration that a different notch depth essentially results in a different height, orientation and shape of the projections relative to one another. It follows that the Projections deviate from a regulated order. This requires an optimized heat transfer with the lowest possible pressure loss in the single-phase flow, since the fluid boundary layer, which is an obstacle to good heat transfer, is interrupted by additionally generated turbulence. Compared to a uniform, homogeneous arrangement of the projections, this targeted interruption of the boundary layer has a particularly positive effect on the heat transfer coefficient. The shapes, heights and arrangement of the projections can be adjusted by setting suitable cutting knives or cutting geometries and by individually adapted rib shapes and geometries.
Im laminaren Strömungsbereich bedingen die Vorsprünge hingegen ein unregelmäßiges Eintauchen in den laminaren Strömungskern und somit eine optimierte Wärmeleitung von der Rohrwand in den laminaren Strömungskern bzw. vom laminaren Strömungskern hin zur Rohrwand. Diese Optimierungen für die turbulente und laminare Strömungsform werden durch die unterschiedlichen Schneidtiefen und Ausrichtung der Vorsprüngen gemäß der erfindungsgemäßen Lösung realisiert.In the laminar flow area, on the other hand, the projections cause irregular immersion in the laminar flow core and thus optimized heat conduction from the tube wall into the laminar flow core or from the laminar flow core to the tube wall. These optimizations for the turbulent and laminar flow form are realized by the different cutting depths and orientation of the projections according to the solution according to the invention.
Erfindungsgemäss variieren die zumindest um einen Vorsprung benachbarten Einkerbungen in der Kerbtiefe um mindestens 10 %.According to the invention, the indentations that are adjacent at least by one projection vary in the indentation depth by at least 10%.
Weiter bevorzugt kann die Variation der Kerbtiefe mindestens 20 % oder sogar 50 % betragen. Hierdurch werden unterschiedlich hohe Vorsprünge erreicht, die wiederrum zu einer Unterbrechung der Grenzschicht sowie zur Erhöhung von Turbulenzen und somit zu einer Erhöhung des Wärmeübergangskoeffizienten führen.More preferably, the variation in notch depth can be at least 20% or even 50%. This results in projections of different heights, which in turn lead to an interruption in the boundary layer and to an increase in turbulence and thus to an increase in the heat transfer coefficient.
Bei einer vorteilhaften Ausführungsform der Erfindung kann sich die größte Kerbtiefe maximal bis zur Rohrwand erstrecken. Hierdurch wird eine Unterbrechung der Grenzschicht sowie eine Erhöhung von Turbulenzen erzielt. Dies führt zu einer Erhöhung des Wärmeübergangskoeffizienten. Einkerbungen bis in die Rohrwand hinein sind eher nachteilhaft und können zu einer unerwünschten Materialschwächung in der Rohrwand führen, ohne im Gegenzug den Wärmeübergangskoeffizienten wesentlich weiter positiv zu beeinflussen.In an advantageous embodiment of the invention, the maximum notch depth can extend as far as the pipe wall. This breaks the boundary layer and increases turbulence. This leads to a Increase in the heat transfer coefficient. Indentations that extend into the tube wall tend to be disadvantageous and can lead to an undesirable weakening of the material in the tube wall without, in return, having a significantly further positive effect on the heat transfer coefficient.
Gemäß der Erfindung können die Einkerbungen durch Schneiden der Innenrippen mit einer Schneidtiefe quer zum Rippenverlauf zur Bildung von Rippenschichten und durch Anheben der Rippenschichten mit einer Hauptausrichtung entlang dem Rippenverlauf zwischen Primärnuten ausgeformt sein.According to the invention, the indentations may be formed by cutting the inner ribs with a cutting depth transverse to the rib path to form layers of ribs and raising the layers of ribs with a main orientation along the rib path between primary grooves.
Die verfahrensseitige Strukturierung des erfindungsgemäßen Wärmeübertragerrohrs kann unter Verwendung eines Werkzeugs hergestellt werden, welches in der
Das verwendete Werkzeug weist eine Schneidkante zum Schneiden durch die Rippen an der inneren Fläche des Rohres auf zur Schaffung von Rippenschichten und eine Anhebekante zum Anheben der Rippenschichten zur Bildung der Vorsprünge. Auf diese Weise werden die Vorsprünge ohne Entfernung von Metall von der inneren Fläche des Rohrs gebildet. Die Vorsprünge an der inneren Fläche des Rohrs können in der gleichen oder einer unterschiedlichen Bearbeitung wie die Bildung der Rippen gebildet werden.The tool used has a cutting edge for cutting through the fins on the inner surface of the tube to create layers of fins and a lifting edge for lifting the layers of fins to form the projections. In this way, the protrusions are formed without removing metal from the inner surface of the tube. The protrusions on the inner surface of the tube may be formed in the same or different processing as the formation of the ribs.
Hiermit lässt sich die Vorsprungshöhe und Abstand variabel gestalten und individuell auf die Anforderungen des in Betracht kommenden Fluids, beispielsweise hinsichtlich Viskosität der Flüssigkeit, Strömungsgeschwindigkeit, anpassen.In this way, the protrusion height and distance can be made variable and individually adapted to the requirements of the fluid in question, for example with regard to the viscosity of the liquid and the flow rate.
Bei einer vorteilhaften Ausführungsform der Erfindung kann mindestens ein Vorsprung aus der Hauptausrichtung entlang dem Rippenverlauf über die Primärnut auskragen Dies bringt den Vorteil mit sich, dass die ausgebildete Grenzschicht im Rippenzwischenraum durch diesen in die Primärnut ragenden Vorsprung unterbrochen wird, was einen verbesserten Wärmeübergang bedingt.In an advantageous embodiment of the invention, at least one projection can protrude from the main alignment along the course of the ribs over the primary groove. This has the advantage that the boundary layer formed in the space between the ribs is interrupted by this projection protruding into the primary groove, which results in improved heat transfer.
Vorteilhafterweise zwischen den Gruppen der Teilabschnitt der Rippe unverändert vorliegen. Weitere positive Einflüsse auf den Wärmeübergang durch das Unterbrechen der Grenzschicht lassen sich daraus ableiten, da unterschiedliche Teilungen / Gruppierungen und alternierend abwechselnde Rippenformen den oben beschriebenen Effekt verstärken.Advantageously, the sections of the rib are unchanged between the groups. Further positive influences on the heat transfer through the interruption of the boundary layer can be derived from this, since different divisions / groupings and alternating rib shapes increase the effect described above.
In bevorzugter Ausführungsform der Erfindung können mehrere Vorsprünge an der von der Rohrwand entferntesten Stelle eine zur Rohrlängsachse parallele Fläche aufweisen.In a preferred embodiment of the invention, a plurality of projections can have a surface parallel to the longitudinal axis of the tube at the point furthest away from the tube wall.
In besonders bevorzugter Ausführungsform können die Vorsprünge in Vorsprungshöhe, Form und Ausrichtung untereinander variieren. Hierdurch lassen sich die einzelnen Vorsprünge gezielt aufeinander anpassen sowie zueinander variieren, um besonders bei laminarer Strömung durch unterschiedliche Rippenhöhen in die unterschiedlichen Grenzschichten der Strömung einzutauchen, um die Wärme an die Rohrwand abzuleiten. Damit lässt sich auch die Vorsprungshöhe und der Abstand individuell auf die Anforderungen z.B. Viskosität des Fluids, Strömungsgeschwindigkeit etc. anpassen.In a particularly preferred embodiment, the projections can vary in projection height, shape and orientation. As a result, the individual projections can be specifically adapted to one another and varied in relation to one another in order to dip into the different boundary layers of the flow, especially in the case of laminar flow, through different rib heights, in order to dissipate the heat to the tube wall. This means that the height of the protrusion and the distance can be individually adapted to the requirements, e.g. viscosity of the fluid, flow rate, etc.
In weiterer vorteilhafter Ausgestaltung der Erfindung kann ein Vorsprung an der von der Rohrwand abgewandten Seite eine spitz zulaufende Spitze aufweisen. Dies führt bei Kondensatorrohren mit einer Verwendung von zweiphasigen Fluiden zu einer optimierten Kondensation an der Spitze.In a further advantageous embodiment of the invention, a projection can have a pointed tip on the side facing away from the tube wall. This results in optimized tip condensation for condenser tubes using two-phase fluids.
In weiterer vorteilhafter Ausgestaltung der Erfindung kann ein Vorsprung an der von der Rohrwand abgewandten Seite eine gekrümmte Spitze aufweisen, deren lokaler Krümmungsradius ausgehend von der Rohrwand mit zunehmender Entfernung verkleinert ist. Dies hat zum Vorteil, dass das an der Spitze eines Vorsprungs entstandene Kondensat durch die konvexe Krümmung schneller hin zum Rippenfuß transportiert und somit der Wärmeübergang bei der Verflüssigung optimiert wird. Beim Phasenwechsel, hier im speziellen bei der Verflüssigung, liegt das Hauptaugenmerk auf der Verflüssigung des Dampfes und das Abführen des Kondensats weg von der Spitze hin zum Rippenfuß. Dafür bildet eine konvex gekrümmter Vorsprung eine ideale Grundlage zur effektiven Wärmeübertragung. Die Basis des Vorsprungs steht dabei im Wesentlichen radial von der Rohrwand ab.In a further advantageous embodiment of the invention, a projection on the of have a curved tip on the side facing away from the pipe wall, the local radius of curvature of which is reduced starting from the pipe wall with increasing distance. The advantage of this is that the condensate that forms at the tip of a projection is transported more quickly to the base of the ribs due to the convex curvature, thus optimizing the heat transfer during liquefaction. During the phase change, here in particular during the liquefaction, the main focus is on the liquefaction of the vapor and the discharge of the condensate away from the tip towards the bottom of the fins. A convexly curved projection forms an ideal basis for effective heat transfer. The base of the projection protrudes essentially radially from the tube wall.
In vorteilhafter Ausgestaltung der Erfindung können die Vorsprünge eine unterschiedliche Form und/oder Höhe von einem Rohranfang entlang der Rohrlängsachse hin zum gegenüber liegenden Rohrende aufweisen Der Vorteil dabei ist eine gezielte Einstellung des Wärmeübergangs von Rohranfang bis Rohrende.In an advantageous embodiment of the invention, the projections can have a different shape and/or height from the beginning of the pipe along the longitudinal axis of the pipe to the opposite end of the pipe. The advantage of this is a targeted adjustment of the heat transfer from the beginning of the pipe to the end of the pipe.
Vorteilhafterweise können sich die Spitzen von zumindest zwei Vorsprüngen entlang dem Rippenverlauf gegenseitig berühren oder überkreuzen; was speziell im reversiblen Betrieb beim Phasenwechsel von Vorteil ist, da die Vorsprünge für die Verflüssigung weit aus dem Kondensat ragen und für die Verdampfung eine Art Kavität ausbilden.Advantageously, the tips of at least two projections can touch or cross one another along the course of the ribs; which is particularly advantageous in reversible operation during phase change, since the projections for the liquefaction protrude far out of the condensate and form a kind of cavity for the evaporation.
In bevorzugter Ausführungsform der Erfindung können sich die Spitzen von zumindest zwei Vorsprüngen über die Primärnut hinweg gegenseitig berühren oder überkreuzen. Dies ist wiederum im reversiblen Betrieb beim Phasenwechsel von Vorteil, da die Vorsprünge für die Verflüssigung weit aus dem Kondensat ragen und für die Verdampfung eine Art Kavität ausbilden.In a preferred embodiment of the invention, the tips of at least two projections can touch or cross one another across the primary groove. This, in turn, is advantageous in reversible operation during the phase change, since the projections for the liquefaction protrude far out of the condensate and form a type of cavity for the evaporation.
In besonders bevorzugter Ausführungsform kann mindestens einer der Vorsprünge derartig verformt sein, dass dessen Spitze die Rohrinnenseite bzw. die Rohraußenseite berührt. Insbesondere im reversiblen Betrieb beim Phasenwechsel ist dies von Vorteil, da die Vorsprünge für die Verflüssigung für die Verdampfung eine Art Kavität und damit Blasenkeimstellen ausbilden. Dies führt beim Verdampfungsvorgang zu erhöhten Wärmeübergangskoeffizienten.In a particularly preferred embodiment, at least one of the projections be deformed in such a way that its tip touches the inside or outside of the pipe. This is advantageous in particular in reversible operation during the phase change, since the projections form a kind of cavity for the liquefaction for the evaporation and thus bubble nucleation sites. This leads to increased heat transfer coefficients during the evaporation process.
Ausführungsbeispiele der Erfindung werden anhand der schematischen Zeichnungen näher erläutert.Exemplary embodiments of the invention are explained in more detail with reference to the schematic drawings.
Darin zeigen:
- Fig. 1
- schematisch eine Schrägansicht eines Rohrausschnitts mit der erfindungsgemäßen Struktur auf der Rohrinnenseite;
- Fig. 2
- schematisch einen Rippenabschnitt mit unterschiedlicher Kerbtiefe;
- Fig. 3
- schematisch einen Rippenabschnitt mit einem über die Primärnut kragenden Strukturelement;
- Fig. 4
- schematisch einen Rippenabschnitt mit einem in Rippenrichtung an der Spitze gekrümmten Vorsprung;
- Fig. 5
- schematisch einen Rippenabschnitt mit einem Vorsprung mit einer parallelen Fläche an der von der Rohrwand entferntesten Stelle;
- Fig. 6
- schematisch einen Rippenabschnitt mit zwei sich entlang dem Rippenverlauf sich gegenseitig berührenden Vorsprüngen;
- Fig. 7
- schematisch einen Rippenabschnitt mit zwei sich entlang dem Rippenverlauf sich gegenseitig überkreuzenden Vorsprüngen;
- Fig. 8
- schematisch einen Rippenabschnitt mit zwei sich über die Primärnut hinweg gegenseitig berührenden Vorsprüngen; und
- Fig. 9
- schematisch einen Rippenabschnitt mit zwei sich über die Primärnut hinweg gegenseitig überkreuzenden Vorsprüngen.
- 1
- schematically an oblique view of a pipe section with the structure according to the invention on the inside of the pipe;
- 2
- schematically a rib section with different notch depth;
- 3
- schematically a rib section with a structural element projecting over the primary groove;
- 4
- schematically shows a rib section with a projection curved at the tip in the rib direction;
- figure 5
- schematically a rib section with a projection with a parallel face at the farthest point from the tube wall;
- 6
- schematically a rib section with two mutually touching projections along the course of the ribs;
- 7
- schematically a rib section with two mutually crossing projections along the course of the ribs;
- 8
- schematically a rib section with two mutually touching projections across the primary groove; and
- 9
- schematically shows a rib section with two mutually crossing projections across the primary groove.
Einander entsprechende Teile sind in allen Figuren mit denselben Bezugszeichen versehen.Corresponding parts are provided with the same reference symbols in all figures.
Die Vorsprünge 6 sind in Gruppen 10 angeordnet, die sich periodisch entlang dem Rippenverlauf wiederholen Die Vorsprünge 6 sind durch Schneiden der Rippen 3 mit einer Schneidtiefe quer zum Rippenverlauf zur Bildung von Rippenschichten und durch Anheben der Rippenschichten mit einer Hauptausrichtung entlang dem Rippenverlauf zwischen Primärnuten 4 ausgeformt. Die Einkerbungen 7 sind zwischen den Vorsprüngen 6 innerhalb der Gruppe 10 mit einer wechselnden Kerbtiefe in einer Rippe 3 ausgebildet.The
Die Vorsprungshöhe h ist in
Die Kerbtiefe t1, t2, t3 ist die in radialer Richtung gemessene Strecke ausgehend von der originären Rippenspitze bis zur tiefsten Stelle der Kerbe. Mit anderen Worten: Die Kerbtiefe ist die Differenz der originären Rippenhöhe und der an der tiefsten Stelle einer Kerbe verbleibenden Restrippenhöhe.The notch depth t 1 , t 2 , t 3 is the distance measured in the radial direction, starting from the original rib tip to the deepest point of the notch. In other words: the notch depth is the difference between the original rib height and the remaining rib height at the deepest point of a notch.
Die in den
Bei den in den
- 11
- Wärmeübertragerrohrheat exchanger tube
- 22
- Rohrwandpipe wall
- 2121
- Rohraußenseitepipe exterior
- 2222
- Rohrinnenseitepipe inside
- 33
- Ripperib
- 3131
- Rippenabschnittrib section
- 44
- Primärnutprimary groove
- 66
- Vorsprunghead Start
- 6161
- parallele Flächeparallel surface
- 6262
- SpitzeTop
- 77
- Einkerbungennotches
- 1010
- Gruppe von Vorsprüngengroup of projections
- AA
- Rohrlängsachselongitudinal axis of the pipe
- t1t1
- erste Schneidtiefefirst cutting depth
- t2t2
- zweite Schneidtiefesecond cutting depth
- t3t3
- dritte Schneidtiefethird cutting depth
- hH
- Vorsprungshöheprotrusion height
Claims (12)
- Heat transfer pipe (1) having a longitudinal pipe axis (A), wherein- continually extending, axially parallel or helically circumferential ribs (3) are formed from the pipe wall (2) at the inner pipe side (22),- continuously extending primary grooves (4) are formed in each case between adjacent ribs (3),- the ribs (3) have at least one structured region at the inner pipe side (22),- the structured region has a plurality of projections (6) which protrude from the surface and which have a projection height (h),wherein adjacent projections (6) are separated by means of notches (7), wherein the projections (6) are arranged in groups (10) which are repeated periodically along the rib path,- the notches (7) are formed by cutting the inner ribs (3) with a cutting depth (t1, t2, t3) transversely relative to the rib path in order to form rib layers and by raising the rib layers with a main orientation along the rib path between primary grooves (4), characterised in that- at least two notches (7) are formed between the projections (6) within the group (10) with a changing notch depth (t1, t2, t3) in a rib (3), and- in that the notches (7) which are spaced apart by at least one projection (6) vary in terms of the notch depth (t1, t2, t3) by at least 10%.
- Heat transfer pipe (1) according to claim 1, characterised in that the largest notch depth (t1, t2, t3) extends at a maximum as far as the pipe wall (2).
- Heat transfer pipe (1) according to claim 1 or 2, characterised in that at least one projection (6) projects from the main orientation along the rib path over the primary groove (4).
- Heat transfer pipe (1) according to any one of claims 1 to 3, characterised in that a part-portion (31) of the rib (3) is in an unchanged state between the groups (10).
- Heat transfer pipe (1) according to any one of claims 1 to 4, characterised in that a plurality of projections (6) at the location furthest away from the pipe wall (2) have a face (61) which is parallel with the longitudinal pipe axis (A).
- Heat transfer pipe (1) according to any one of claims 1 to 5, characterised in that the projections (6) vary relative to each other in terms of projection height (h), shape and orientation.
- Heat transfer pipe (1) according to any one of claims 1 to 6, characterised in that a projection (6) has an acutely tapering tip (62) at the side facing away from the pipe wall (2) .
- Heat transfer pipe (1) according to any one of claims 1 to 7, characterised in that a projection (6) at the side facing away from the pipe wall (2) has a curved tip (62) whose local radius of curvature is reduced with increasing spacing from the pipe wall (2).
- Heat transfer pipe (1) according to any one of claims 1 to 8, characterised in that the projections (6) have a different shape and/or height from a pipe beginning along the longitudinal pipe axis (A) towards the opposing pipe end.
- Heat transfer pipe (1) according to either claim 7 or claim 8, characterised in that the tips (62) of at least two projections (6) touch each other or intersect along the rib path.
- Heat transfer pipe (1) according to either claim 7 or claim 8, characterised in that the tips (62) of at least two projections (6) touch each other or intersect over the primary groove (4).
- Heat transfer pipe (1) according to either claim 7 or claim 8, characterised in that at least one of the projections (6) is formed in such a manner that the tip (62) thereof touches the inner pipe side (22) or the outer pipe side.
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
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DE102016006967.8A DE102016006967B4 (en) | 2016-06-01 | 2016-06-01 | heat exchanger tube |
PCT/EP2017/000596 WO2017207090A1 (en) | 2016-06-01 | 2017-05-17 | Heat exchanger tube |
Publications (2)
Publication Number | Publication Date |
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EP3465055A1 EP3465055A1 (en) | 2019-04-10 |
EP3465055B1 true EP3465055B1 (en) | 2022-06-22 |
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Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
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EP17725858.9A Active EP3465055B1 (en) | 2016-06-01 | 2017-05-17 | Heat exchanger tube |
Country Status (10)
Country | Link |
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US (1) | US10976115B2 (en) |
EP (1) | EP3465055B1 (en) |
JP (1) | JP6752294B2 (en) |
KR (1) | KR102449268B1 (en) |
CN (1) | CN109196297A (en) |
DE (1) | DE102016006967B4 (en) |
MX (1) | MX2018014688A (en) |
PL (1) | PL3465055T3 (en) |
PT (1) | PT3465055T (en) |
WO (1) | WO2017207090A1 (en) |
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GB201806020D0 (en) | 2018-02-23 | 2018-05-30 | Rolls Royce | Conduit |
US20190293364A1 (en) * | 2018-03-22 | 2019-09-26 | Johnson Controls Technology Company | Varied geometry heat exchanger systems and methods |
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- 2017-05-17 CN CN201780034230.1A patent/CN109196297A/en active Pending
- 2017-05-17 MX MX2018014688A patent/MX2018014688A/en unknown
- 2017-05-17 EP EP17725858.9A patent/EP3465055B1/en active Active
- 2017-05-17 PT PT177258589T patent/PT3465055T/en unknown
- 2017-05-17 PL PL17725858.9T patent/PL3465055T3/en unknown
- 2017-05-17 JP JP2018558417A patent/JP6752294B2/en active Active
- 2017-05-17 KR KR1020187030820A patent/KR102449268B1/en active IP Right Grant
- 2017-05-17 WO PCT/EP2017/000596 patent/WO2017207090A1/en unknown
Also Published As
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PT3465055T (en) | 2022-08-12 |
US20190145717A1 (en) | 2019-05-16 |
PL3465055T3 (en) | 2022-10-31 |
CN109196297A (en) | 2019-01-11 |
KR20190011717A (en) | 2019-02-07 |
KR102449268B1 (en) | 2022-09-29 |
WO2017207090A1 (en) | 2017-12-07 |
JP6752294B2 (en) | 2020-09-09 |
MX2018014688A (en) | 2019-02-28 |
EP3465055A1 (en) | 2019-04-10 |
JP2019517652A (en) | 2019-06-24 |
US10976115B2 (en) | 2021-04-13 |
DE102016006967A1 (en) | 2017-12-07 |
WO2017207090A8 (en) | 2018-11-22 |
DE102016006967B4 (en) | 2018-12-13 |
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