CN211785173U - Visual experimental device for fluid research - Google Patents

Visual experimental device for fluid research Download PDF

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CN211785173U
CN211785173U CN202020184198.4U CN202020184198U CN211785173U CN 211785173 U CN211785173 U CN 211785173U CN 202020184198 U CN202020184198 U CN 202020184198U CN 211785173 U CN211785173 U CN 211785173U
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plate
flow channel
fluid
electric heating
heat insulation
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陈红丽
张雪
张�杰
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University of Science and Technology of China USTC
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University of Science and Technology of China USTC
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Abstract

The utility model discloses a visual experimental device for fluid research, which comprises a runner assembly, wherein the runner assembly comprises a square frame, two opposite heat insulation plates arranged inside the square frame and an electric heating plate; a gap between the two heat insulation plates forms a flow channel, and the surfaces of the two heat insulation plates facing the flow channel are provided with the electric heating plates; the observation window has all been seted up on two relative lateral walls on the square frame, just the observation window is with two clearance between the heat-insulating shield is relative. The structural design of the visual experimental device for fluid research can effectively imitate the actual heating condition and realize the visual observation of bubble growth from the side.

Description

Visual experimental device for fluid research
Technical Field
The utility model relates to a visual research technical field of fluid, more specifically say, relate to a fluid research is with visual experimental apparatus.
Background
The plate-shaped fuel element has the advantages of compact structure and large heat exchange area due to the narrow rectangular coolant channel, and is applied to the core design of a small reactor. In addition, due to the existence of vaporization latent heat, the heat exchange coefficient of two-phase boiling flow is greatly improved compared with that of single-phase flow, the boiling two-phase flow in the narrow rectangular flow channel is complex, the flow pattern and the flow pattern change are various, a violent phase change process is also accompanied in the flow process, the flow instability is easily caused, the separation diameter of a boiling vapor bubble is reduced due to a narrow slit, the frequency is increased, and the conventional channel in the boiling process is greatly different. Therefore, the boiling flow in the narrow rectangular channels needs to be studied to provide a reference for the design and operation of the plate-shaped fuel elements.
The experimental device in the prior art can not compromise more and is close to actual heating condition and realize the visual bubble growth of observing from the side simultaneously to the structure is complicated, and the dismouting is difficult, leads to the experiment to consume highly, has great limitation.
In summary, how to effectively imitate the actual heating conditions and realize the visual observation of bubble growth from the side is a problem that needs to be solved by those skilled in the art.
SUMMERY OF THE UTILITY MODEL
In view of this, the present invention provides a visual experimental apparatus for fluid research, the structural design of which can effectively imitate the actual heating condition and realize the observation of bubble growth from the side.
In order to achieve the above object, the utility model provides a following technical scheme:
a visual experimental device for fluid research comprises a flow channel assembly, wherein the flow channel assembly comprises a square frame, two opposite heat insulation plates and an electric heating plate, wherein the two opposite heat insulation plates are arranged in the square frame;
a gap between the two heat insulation plates forms a flow channel, and the surfaces of the two heat insulation plates facing the flow channel are provided with the electric heating plates; the observation window has all been seted up on two relative lateral walls on the square frame, just the observation window is with two clearance between the heat-insulating shield is relative.
Preferably, in the above visualization experiment apparatus for fluid research, the flow channel includes a heating section, a non-heating section is disposed upstream and/or downstream of the heating section, and the electric heating plate is disposed only on a portion of the heat insulation plate located on the heating section.
Preferably, in the above visualization experiment apparatus for fluid research, a width of the electric heating plate is smaller than a width of the heat insulating plate, so that the flow channel is provided with non-heating regions along both sides of the width thereof, and a width direction of the flow channel is parallel to a width direction of the heat insulating plate.
Preferably, the visual experimental apparatus for fluid research further comprises an inlet buffer tank and an outlet buffer tank, wherein an inlet of the inlet buffer tank is connected with a first connecting pipe, and an outlet of the outlet buffer tank is connected with a second connecting pipe;
the fluid area of the first nozzle is smaller than the fluid area of the second nozzle.
Preferably, in the above visualization experiment apparatus for fluid research, pressure measuring holes are provided on both the inlet buffer tank and the outlet buffer tank.
Preferably, in the above visualization experiment apparatus for fluid research, the cube frame is further provided with a plurality of temperature measurement holes for detecting the temperature in the flow channel.
Preferably, in the above visualization experiment apparatus for fluid research, the electric heating plate is connected to the copper electrode through a copper plate, and the electric heating plate and the copper plate, and the copper electrode and the copper plate are fixed by screws;
the electric heating plate is bonded to the heat insulating plate.
Preferably, in the above visualization experiment apparatus for fluid research, the cube frame includes two first side walls parallel to each other and two second side walls parallel to each other, and the first side walls are adjacent to the second side walls, and the width of the first side walls is greater than the width of the second side walls;
the heat-insulating plate with the first lateral wall of cube frame is parallel, two all seted up the observation window on the second lateral wall.
Preferably, in the above visualization experiment apparatus for fluid research, the cube frame includes four pillars parallel to each other, two first cover plates parallel to each other, and two second cover plates parallel to each other, the two first cover plates form two first sidewalls, respectively, and the two second cover plates form two second sidewalls, respectively;
the observation window is inlaid with a transparent plate through a fastener, the transparent plate is provided with sealing rings between the supporting columns and the first cover plate.
Preferably, in the above visualization experiment apparatus for fluid research, the pillars are bent, and a groove for accommodating the first cover plate or the second cover plate is formed between two adjacent pillars.
The utility model provides a fluid research is with visual experimental apparatus includes the runner subassembly. The runner assembly comprises a square frame, an electric heating plate and two heat insulation plates. Wherein, electric heating board and two insulation panels all set up inside the square frame. The two heat insulation plates are arranged in parallel, namely the two heat insulation plates are arranged oppositely, a flow channel is formed in a gap between the two heat insulation plates, and fluid flows in the gap between the two heat insulation plates when research is carried out. The surfaces of the two heat insulation plates facing the flow channel are provided with electric heating plates. Namely, the surfaces of the two heat insulation plates close to each other are provided with electric heating plates. The two sides of the heat insulation plates are hermetically connected with the inner wall of the square frame, so that the two heat insulation plates and the inner wall of the square frame jointly enclose a flow channel. The heat insulation plate provides a good insulation effect, so that the electric heating plate is insulated from other experimental parts, and a certain mechanical strength support is provided for the electric heating plate.
The observation window has all been seted up on two relative lateral walls on the square frame, and the clearance between observation window and two insulation panels is relative, so observation window is relative with the runner. The side wall of the square frame, which is provided with the observation window, can be vertical to the heat insulation plate.
When the visual experimental device for fluid research provided by the embodiment is applied, fluid enters from the inlet end of the square frame, and then the fluid enters the flow channel between the two heat insulation plates, the fluid flows in the flow channel, the electric heating plate heats the fluid in the flow channel, at the moment, the behavior of bubbles and the change of the flow pattern of the fluid are observed through the observation window, the visual research is realized, the observation windows are arranged on the two opposite side walls on the square frame, the light is increased, meanwhile, the flow channel can be polished through one side wall, the observation and the shooting are performed through the other side wall, and then the behavior processes that the bubbles are polymerized, grown, separated and the like on the heating surface are observed from the side direction, and the visual experimental device is more visual.
In addition, the two heat insulation plates are provided with the electric heating plates, namely the two opposite sides of the flow channel are provided with the electric heating plates, so that double-sided heating is realized, and the heating condition of the reactor coolant is closer to the actual heating condition. And, the electric heating plate is directly contacted with the fluid, reducing the heat loss caused by heat conduction.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 is a schematic structural diagram of a visual experimental apparatus for fluid research according to an embodiment of the present invention;
fig. 2 is a cross-sectional view of the visual experimental apparatus for fluid research according to the embodiment of the present invention, which is cut along a horizontal plane when the apparatus is vertically used;
fig. 3 is a cross-sectional view of the visual experimental apparatus for fluid research, which is provided by the embodiment of the present invention, cut along a vertical plane when the apparatus is vertically used;
fig. 4 is a partially enlarged view of fig. 3.
In fig. 1-4:
1-inlet buffer box, 2-cube frame, 2 a-first cover plate, 2 b-support, 2 c-transparent plate, 2 d-fastener, 2 e-sealing ring, 3-outlet buffer box, 4-fixing frame, 5-copper electrode, 6-observation window, 7-pressure measuring hole, 8-insulating flange, 9-temperature measuring hole, 10-heat insulating plate, 11-electric heating plate, 12-flow channel and 13-copper plate.
Detailed Description
An object of the utility model is to provide a fluid is visual experimental apparatus for research, this fluid research can imitate the heating condition of reality effectively and realize the audio-visual observation bubble growth of edgewise with visual experimental apparatus's structural design.
The technical solutions in the embodiments of the present invention will be described clearly and completely with reference to the accompanying drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments in the present invention, all other embodiments obtained by a person skilled in the art without creative work belong to the protection scope of the present invention.
In the description of the present invention, it is to be understood that the terms "upper", "lower", "front", "rear", "left" and "right" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of description and simplification of description, but do not indicate or imply that the indicated position or element must have a specific orientation, be constituted in a specific orientation, and be operated, and thus, are not to be construed as limitations of the present invention. Furthermore, the terms "first" and "second" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
Referring to fig. 1-4, the present invention provides a visual experimental apparatus for fluid research, which includes a flow channel assembly. The runner assembly includes a cube frame 2, an electric heating plate 11, and two heat insulating plates 10. Wherein, the electric heating plate 11 and the two heat insulating plates 10 are both arranged inside the cube frame 2. The two insulation panels 10 are disposed in parallel with each other, that is, the two insulation panels 10 are disposed to face each other, and a gap between the two insulation panels 10 forms a flow path 12, and when a study is performed, a fluid flows in the gap between the two insulation panels 10. The two heat insulation plates 10 are provided with an electric heating plate 11 on the surface facing the flow channel 12. Namely, the two heat insulation plates 10 are provided with the electric heating plates 11 on the plate surfaces close to each other. Two sides of the heat insulation plates 10 are hermetically connected with the inner wall of the square frame 2, so that the two heat insulation plates 10 and the inner wall of the square frame 2 enclose a flow channel 12 together. The insulating plate 10 provides a good insulating effect, insulates the electric heating plate 11 from other parts of the experiment, and provides a certain mechanical strength support for the electric heating plate 11.
When the visual experimental device for fluid research provided by the embodiment is applied, fluid enters from the inlet end of the square body frame 2, and then the fluid enters the flow channel 12 between the two heat insulation plates 10, the fluid flows in the flow channel 12, and meanwhile the electric heating plate 11 heats the fluid in the flow channel 12, at the moment, the behavior of bubbles and the change of the flow pattern of the fluid are observed through the observation window 6, so that the visual research is realized, the observation windows 6 are arranged on two opposite side walls on the square body frame 2, the light feeding is increased, meanwhile, the flow channel can be polished through one side wall, the observation and the shooting are performed through the other side wall, and the behavior processes that the bubbles are polymerized, grown, separated and the like on the heating surface are observed from the side direction, and the visual experimental device is more visual.
In addition, the two heat insulation plates 10 are respectively provided with an electric heating plate 11, namely, the two opposite sides of the flow channel 12 are respectively provided with the electric heating plates 11, so that double-sided heating is realized, and the heating condition of the reactor coolant is closer to the actual heating condition. Also, the electric heating plate 11 is in direct contact with the fluid, reducing heat loss due to heat conduction.
The number of the observation windows 6 can be eight, and four observation windows 6 are respectively arranged on two opposite side walls of the square frame 2. Of course, the number of the observation windows 6 may also be other numbers, such as six, ten, etc., and is not limited herein.
The observation windows 6 on the two opposite side walls of the cube frame 2 can be arranged in a staggered manner, that is, the observation window 6 on one side wall is opposite to the gap between the two observation windows 6 on the other side wall, so as to observe the fluid at different positions.
The outer portion of the square frame 2 may be provided with a fixing frame 4 to facilitate the installation of the square frame 2 at a proper position.
In order to make the fluid fully developed, the flow conditions of the plate-shaped fuel element reactor are simulated more truly. The flow channel 12 comprises a heating section, upstream and/or downstream of which a non-heating section is arranged, i.e. at least one of upstream of the heating section and downstream of the heating section is provided with a non-heating section. Specifically, the flow channel 12 is provided with a first non-heating section, a heating section, and a second non-heating section in sequence along the flow direction thereof, or the flow channel 12 is provided with a heating section and a non-heating section in sequence along the flow direction thereof, or the flow channel 12 is provided with a non-heating section and a heating section in sequence along the flow direction thereof. Only the portion of the heat insulation plate 10 located at the heating section is provided with the electric heating plate 11, that is, the electric heating plate 11 is fixed on the plate surface of the heat insulation plate 10 of the heating section, and the electric heating plate 11 is not provided on the plate surface of the heat insulation plate 10 of the non-heating section. So arranged, the fluid can be fully developed when entering the non-heating section.
Preferably, the flow channel 12 is provided with a first non-heating section, a heating section and a second non-heating section in sequence along the flow direction thereof. The length of the first non-heating section is 180-250mm, the length of the second non-heating section is 120-200mm, specifically the length of the first non-heating section is 215mm, and the length of the second non-heating section is 165 mm.
In order to prevent local heat transfer deterioration and hot spots, the width of the electric heating plate 11 may be smaller than the width of the insulation plate 10, so that the flow channel 12 is provided with non-heating regions along both sides of the width thereof, and the width direction of the flow channel 12 is parallel to the width direction of the insulation plate 10. The electric heating plate 11 and the insulating plate 10 are stacked, and both sides of the width of the insulating plate have a non-heating area not covered by the electric heating plate 11. The length direction of the insulating plate is parallel to the length direction of the flow channel 12.
The width of the non-heated zone may be 2-3mm, in particular 2.5 mm.
In the above embodiment, in the heating section of the flow channel 12, the non-heating regions are disposed on both sides of the heating section along the width thereof.
As shown in fig. 1, the visual experimental apparatus for fluid research further includes an inlet buffer tank 1 and an outlet buffer tank 3, an inlet of the inlet buffer tank 1 is connected with a first connection pipe, and an outlet of the outlet buffer tank 3 is connected with a second connection pipe. The fluids may be mixed and stored in the inlet buffer tank 1 and the outlet buffer tank 3 before and after entering the flow channel 12.
Wherein the fluid area of the first connecting pipe is smaller than that of the second connecting pipe. Because the generally liquid single-phase fluid enters the flow channel 12, and half of the fluid flowing out of the flow channel 12 is a liquid and gaseous two-phase fluid, the fluid area of the first connecting pipe is smaller than that of the second connecting pipe according to different experimental working medium phase states at the inlet and outlet positions. Specifically, the first connecting pipe is connected with the main loop by a small-caliber insulating sleeve and the second connecting pipe is connected with the main loop by a large-caliber insulating flange 8. Of course, the fluid area of the first adapter may be equal to the fluid area of the second adapter, and is not limited herein.
When the visual experimental device for fluid research is used, the square frame 2 is vertically arranged, the inlet of the flow channel 12 is arranged at the upper part, and the outlet of the flow channel 12 is arranged at the lower part, so that the flow channel corresponds to the flow condition of the coolant of a reactor with the coolant adopting a downward flow mode or a conventional reactor under the accident condition.
In order to facilitate understanding of the air pressure of the inlet buffer box 1 and the outlet buffer box 3, the inlet buffer box 1 and the outlet buffer box 3 are provided with pressure measuring holes 7. A pressure transmitter or the like may be installed at the pressure measuring hole 7.
The inlet buffer box 1 is provided with an air exhaust hole, and an exhaust valve is externally connected to the air exhaust hole.
In order to know the wall temperature in the flow channel 12 in time, the square frame 2 is further provided with a plurality of temperature measuring holes 9 for detecting the temperature in the flow channel 12, and the temperature measuring holes can be provided with temperature sensors and the like.
The electrical heating plate 11 is connected to the copper electrode 5. Specifically, the electric heating plate 11 is connected with the copper electrode 5 through the copper plate 13, the three are fixed with screws in pairs respectively, and the structure can realize the convenience of disassembly and replacement when partial parts are damaged.
Of course, the electric heating plate 11 may be connected by other means, which is not limited herein.
The electric heating plate 11 is bonded on the heat insulation plate 10, and the electric heating plate 11 and the heat insulation plate 10 are bonded in a bonding mode, so that the welding of the electric heating plate 11 is reduced, and the resistance of the whole heating section is ensured to be more uniform. Of course, the electric heating plate 11 may be welded or clamped to the heat insulating plate 10, which is not limited herein.
The heat insulation plate 10 may be provided with a sink groove, and the electric heating plate 11 may be directly installed in the sink groove. The electric heating plate 11 is electrically heated by a DC power supply with the maximum power of 48kW (24V, 2000A), and the size of a heating area of the electric heating plate 11 is 62mm multiplied by 750 mm.
In another embodiment, the cube frame 2 includes two first side walls parallel to each other and two second side walls parallel to each other, and the first side walls are adjacent to the second side walls. The first side wall and the second side wall are both parallel to the length direction of the square frame 2. The heat insulation plate 10 is parallel to the first side wall of the square frame 2, and the two second side walls are provided with observation windows 6.
The width of the first side wall is larger than that of the second side wall.
The heat insulation plate 10 is parallel to the first side wall of the square frame 2, and the two second side walls are provided with observation windows 6. A narrow rectangular flow passage 12 may be formed between the two insulation panels 10, and specifically, the narrow rectangular flow passage 12 has a thickness of 2.3mm in a direction perpendicular to the insulation panels 10.
The length direction of the flow channel 12 is parallel to the length of the cube frame 2, the width direction of the flow channel 12 is parallel to the width direction of the heat insulating plate 10, and the thickness of the flow channel 12 is perpendicular to the heat insulating plate 10. The width direction of the insulation plate 10 is perpendicular to the second sidewall of the cube frame 2.
Further, the cube frame 2 includes four pillars 2b parallel to each other, two first cover plates 2a parallel to each other, and two second cover plates parallel to each other, the two first cover plates 2a form two first sidewalls, respectively, and the two second cover plates form two second sidewalls, respectively. The first cover plate 2a and the second cover plate are both fixedly connected with the pillar 2 b. A first cover plate 2a or a second cover plate is arranged between two adjacent pillars 2 b. The first cover plate 2a or the second cover plate may be fixedly connected to the pillar 2b by a bolt. The support post 2b may be a stainless steel support post. The copper electrode 5 is flange-connected to the first cover plate 2a, and is sealed and insulated by an insulating gasket.
Of course, the square frame 2 may be an integral structure, and is not limited herein.
The observation window 6 is inlaid with a transparent plate 2c through a fastener 2d, and sealing rings 2e are arranged between the transparent plate 2c and the support column 2b and between the support column 2b and the first cover plate 2 a.
The transparent plate 2c can be toughened glass, and the fastener 2d is a glass pressing piece. Of course, the transparent plate 2c may be made of other materials, and is not limited herein.
The pillars 2b are bent, and a groove for accommodating the first cover plate 2a or the second cover plate is formed between two adjacent pillars 2 b. Specifically, the pillar 2b includes a first wall, a second wall, and a third wall connected in sequence, the first wall and the third wall are both perpendicular to the second wall, and the first wall and the third wall are respectively located at both sides of the second wall.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
In the description herein, references to the description of "one embodiment," "an example," "a specific example," etc., mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
The preferred embodiments of the present invention disclosed above are intended only to help illustrate the present invention. The preferred embodiments are not intended to be exhaustive or to limit the invention to the precise embodiments disclosed. Obviously, many modifications and variations are possible in light of the above teaching. The embodiments were chosen and described in order to best explain the principles of the invention and its practical applications, to thereby enable others skilled in the art to best understand the invention for and utilize the invention. The present invention is limited only by the claims and their full scope and equivalents.

Claims (10)

1. The visual experimental device for fluid research is characterized by comprising a flow channel assembly, wherein the flow channel assembly comprises a square frame (2), two opposite heat insulation plates (10) arranged inside the square frame (2) and an electric heating plate (11);
a flow channel (12) is formed in a gap between the two heat insulation plates (10), and the surfaces of the two heat insulation plates (10) facing the flow channel (12) are provided with the electric heating plates (11); observation window (6) have all been seted up on two relative lateral walls on square frame (2), just observation window (6) and two the clearance between insulation panel (10) is relative.
2. The visual experimental apparatus for fluid research according to claim 1, wherein the flow channel (12) comprises a heating section, a non-heating section is arranged upstream and/or downstream of the heating section, and the electric heating plate (11) is arranged only on the portion of the heat insulation plate (10) located on the heating section.
3. The visualization experiment apparatus for fluid research according to claim 1, wherein the width of the electric heating plate (11) is smaller than the width of the heat insulating plate (10) so that the flow channel (12) is provided with a non-heating zone along both sides of the width thereof, and the width direction of the flow channel (12) is parallel to the width direction of the heat insulating plate (10).
4. The visualization experiment device for the fluid research according to claim 1, further comprising an inlet buffer tank (1) and an outlet buffer tank (3), wherein a first connecting pipe is connected to an inlet of the inlet buffer tank (1), and a second connecting pipe is connected to an outlet of the outlet buffer tank (3);
the fluid area of the first nozzle is smaller than the fluid area of the second nozzle.
5. The visual experimental device for fluid research according to claim 4, characterized in that the inlet buffer tank (1) and the outlet buffer tank (3) are provided with pressure measuring holes (7).
6. The visualization experiment device for fluid research according to claim 1, wherein a plurality of temperature measuring holes (9) for measuring the temperature in the flow channel (12) are further arranged on the square body frame (2).
7. The visual experimental device for fluid research according to claim 1, wherein the electric heating plate (11) is connected with the copper electrode (5) through a copper plate (13), and the electric heating plate (11) and the copper plate (13) and the copper electrode (5) and the copper plate (13) are fixed through screws;
the electric heating plate (11) is bonded to the heat insulating plate (10).
8. The visualization experiment device for fluid research according to claim 1, wherein the cube frame (2) comprises two first side walls parallel to each other and two second side walls parallel to each other, and the first side walls are adjacent to the second side walls, and the width of the first side walls is greater than that of the second side walls;
the heat insulation plate (10) is parallel to the first side wall of the square frame (2), and the second side wall is provided with an observation window (6).
9. The visual experimental apparatus for fluid research according to claim 8, characterized in that said cubic frame (2) comprises four mutually parallel pillars (2b), two mutually parallel first cover plates (2a) and two mutually parallel second cover plates, two said first cover plates (2a) forming two said first side walls respectively, two said second cover plates forming two said second side walls respectively;
it has transparent plate (2c) to inlay through fastener (2d) on observation window (6), transparent plate (2c) with between pillar (2b) and all be provided with sealing washer (2e) between pillar (2b) and first apron (2 a).
10. The visual experimental device for fluid research according to claim 9, characterized in that the pillars (2b) are bent, and a groove for accommodating the first cover plate (2a) or the second cover plate is formed between two adjacent pillars (2 b).
CN202020184198.4U 2020-02-19 2020-02-19 Visual experimental device for fluid research Active CN211785173U (en)

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CN202020184198.4U CN211785173U (en) 2020-02-19 2020-02-19 Visual experimental device for fluid research

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Application Number Priority Date Filing Date Title
CN202020184198.4U CN211785173U (en) 2020-02-19 2020-02-19 Visual experimental device for fluid research

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CN211785173U true CN211785173U (en) 2020-10-27

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