CN107281825A - A kind of whirlpool formula demister - Google Patents
A kind of whirlpool formula demister Download PDFInfo
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- CN107281825A CN107281825A CN201710649122.7A CN201710649122A CN107281825A CN 107281825 A CN107281825 A CN 107281825A CN 201710649122 A CN201710649122 A CN 201710649122A CN 107281825 A CN107281825 A CN 107281825A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B01—PHYSICAL OR CHEMICAL PROCESSES OR APPARATUS IN GENERAL
- B01D—SEPARATION
- B01D45/00—Separating dispersed particles from gases or vapours by gravity, inertia, or centrifugal forces
- B01D45/12—Separating dispersed particles from gases or vapours by gravity, inertia, or centrifugal forces by centrifugal forces
- B01D45/16—Separating dispersed particles from gases or vapours by gravity, inertia, or centrifugal forces by centrifugal forces generated by the winding course of the gas stream, the centrifugal forces being generated solely or partly by mechanical means, e.g. fixed swirl vanes
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Abstract
When the present invention is the vortex filament structural curvature change using vortex-like runner, linear velocity and angular speed change are asynchronous, and then a kind of demister for causing the stress transient change of air-flow entrainment and its principle separated with air-flow being made.
Description
Technical field
The present invention relates to a kind of whirlpool formula demister, especially relate to remove in air-flow using a kind of vortex-like runner centrifugation
Fine drop invention, remove air-flow in fine drop be also referred to as demisting.
Background technology
The method of current demisting is a lot, and more conventional demister has inertia-type, baffle plate type, spiral-flow plate-type, whirlwind
Formula, gravity sedimentation type, electric separation type, fibre web formula demister etc..The operating principle of various demisters is not quite similar, point
Particle size range that Shi Yongyu be not different.
1. inertia-type demister, relatively common inertia-type demister is, by the speed and direction for changing air-flow, to make
After the larger drop of the density that is carried is assembled because effect of inertia is attached in device wall, flowed back to by gravity.Inertia-type demisting
Device mainly intercepts mechanism by inertial collision and directly and reaches gas-liquid separation.This demister due to it is simple in construction,
Treating capacity is big, therefore it is widely used in the early stage of development of demister.But caused by being due to the structure of itself, inertia
The liquid-drop diameter that formula demister can be separated is not suitable for some exigent occasions than larger.
2. baffle plate type demister, baffle plate type demister belongs to inertia-type demister, it be using drop with
The surface of solids is collided and by mist condenses and traps, by many tortuous passageways in parallel, drop is in the vertical of tortuous passageway
After assembling in wall and the trap being located at complications, flow down, separated along wall.Due to drop and the collider of wall
Can be many, separative efficiency is higher, and the pressure drop of air-flow is smaller.
3. spiral-flow plate-type demister, spiral-flow plate-type demister is a kind of typical based on the gas-liquid for centrifuging principle
Separator, spiral board is placed one by the inclined blade of a fixed angle of altitude by many and enclosed, and rotation is just turned into when gas passes through impeller clearance
Turn the drop carried secretly in air-flow, air-flow and projected in the presence of inertia with certain elevation angle and be thrown toward outside, collect flow to it is excessive
In chute, so as to reach the purpose of gas-liquid separation.
4. cyclone type demister mainly carries out demisting using the principle centrifuged, the gas containing drop is in a constant speed
Tangentially to get rid of drop to barrel by the effect of centrifugal force into cyclone separator under degree, at this moment gas-liquid is separated, gas
Stream is flowed out along top center opening, and drop is then returned by the effect of top water fender.The demister of this form is used to remove
Mist efficiency is higher, and treating capacity is big, thus application is wider.But resistance drop is often larger, and need to take certain space, installation cost
With also higher.
5. gravitational settling demister sets enlargement on gas flow, after gas flow rate reduction, droplet is in gravity
Effect sinking, which is removed, to remove.Gravitational settling demister simple structure is reliable, but bulky, and is only used for removing large scale mist
Drop.
6. electrically separated device sets high-pressure electrostatic electrode in gas flow both sides, electric field is formed, gas flows through from electric field,
Drop with electric charge is by electric field action, by electrode separation.Electrically separated unit efficiency is higher, can remove small yardstick drop, but
The dielectric constant of drop there are certain requirements.In addition, civilian occasion, high-tension electricity possesses certain danger.
7. fibre web formula demister forms multiple large aperture filter screen using fiber in certain thickness space and constructed,
Substance filter screen is less efficient to droplet capture, and multiple structure can obtain any high clearance in theory.It is actually typical fine
Tie up silk screen separator thickness general in more than 100mm, 99.7%, the pressure loss one are generally higher than to the clearance of fine drop
As in 200-1000Pa scopes.For the higher gas of fine drop content, fibre web separator resistance has generally increased
Plus.If drop is unholiness, after long-term use, there is also the risk of blocking or fouling for fibre web.
Above demisting technology is for fully removing tiny liquid below the micron-sized fine drop of particle diameter, such as 5 microns of diameter
Drop need to reduce runner spacing or aperture, increase separating trap unit, increase flow velocity, and so resistance increase simultaneously, Reynolds number reduces,
Reynolds number forms laminar flow entrainment when being less than 2300, removal difficulty is increased on the contrary.
The content of the invention
The purpose of the present invention is to overcome the deficiencies in the prior art there is provided a kind of simple in construction, volume compact, weight is small, pressure
Reduction, efficiency high, treating capacity can fully remove removing for fine drop greatly, using the occasion that scope is wide, disintegrate-quality requirement is high
Mist device.
The technical solution adopted in the present invention is：The runner arm that the present apparatus is placed by one group of stacking（6）Constitute, runner arm it
Between gap be vortex-like runner (5), the section of vortex-like runner is with framework (7) or to use vent cover around vortex sheet, runner arm（20）
And bottom plate（21）It is fixed, vertically or horizontally it is fixed on when using in gas channel, device peripheral sealing, makes air-flow through gap around
By airflow direction（8）Into through top layer collar extension after collecting in runner arm intermediate space（25）Or opening cover gab（26）By gas
Flow direction（23）Outflow；Runner arm can be made into annular, horizontal stripe shape, vertical bar shape, and one group of annular channel arm stacked shapes can be into hemisphere
Shape, tubbiness, taper, round table-like, semicircle shape, one group of horizontal stripe shape runner arm stacked shapes can be into tabular, halfpace shape, one group of vertical bar shape
Runner arm stacked shapes can be into tabular, tubbiness, taper, semicircle shape；Two side horizontal profile in vortex-like runner（That is vortex sheet border）
For same origin（O）Two isometric equiangular spirals（Also referred to as logatithmic spiral）Arc, two arc angles are θ, and an arc (9) therein is along original
Can be with another arc after point anglec of rotation θ（10）Overlap；In polar coordinates, the equation of equiangular spiral is：ρ=α e^ (φ k), its
In：α and k is constant, and φ is polar angle, and ρ is polar diameter, and e is that limit is origin, polar diameter ρ p in the bottom of natural logrithm, this scheme
Instead of to be different from density p；It is two adjacent polar diameters on an equiangular spiral arc etc. angle beta（pnWith pn+1）Angle, etc. angle beta=π/M
(M is isogonism number, M >=2), and equiangular spiral arc two-end-point polar angle is two-end-point polar diameter（p1With pn+1）Included angle=M β（φ
≤π）, X=e^ (β k) then lnX=β k（X>0 and X ≠ 1, work as X>When 1, equiangular spiral direction of rotation curvature is gradually small；As X ﹤ 1,
Equiangular spiral direction of rotation curvature is gradually big）；Arc n on equiangular spiral is corresponded to etc. angle beta（N is the bar number of arc, n >=1）Angle of circumference
Equal to β, arc n radius of curvature is Rn, work as X>R when 1n=[（Xp - pcosβ）^2+（psinβ）^2] ^(1/2)/[2sin(β/
2)], the R as X ﹤ 1n=[（p-Xpcosβ）^2+（Xpsinβ）^2] ^ (1/2)/[2sin (β/2)], adjacent arcs are isogonism arc, phase
The radius of curvature of adjacent arc is XRn；(N takes one in Fibonacci sequence same origin angle theta=2 π/N of two isometric equiangular spiral arcs
, and N >=3)；The characteristic of equiangular spiral is adjacent two isogonisms arc n and arc n+1 tie point tangent line, common normal altogether, during Curvature varying
Angular speed changes, and linear velocity is constant.It is vortex filament that equiangular spiral arc, which meets two side floor projection in vortex filament definition, runner,
Runner is vortex-like, and theorem is kept according to vortex filament, if preferable, barotropic fluid mass force has gesture, at a time constitutes vortex filament
Fluid particle is before this or later any moment constitutes vortex filament forever.It is vortex filament, runner by the air-flow streamline of runner
Interior vortex filament is kept.Theorem is kept according to vortex sheet, if preferable, barotropic fluid external force has gesture, the stream of vortex sheet is at a time constituted
Constitution point is before this or later any moment constitutes vortex sheet forever.Vortex filament constitutes vortex sheet in vortex sheet, runner and kept in runner.
Calculate equiangular spiral arc in etc. angle beta, arc n radius of curvature Rn, arc n polar diameter pnAnd pn+1, the side of equiangular spiral
Journey is pn= pn+1e^(βk)；Calculate equiangular spiral arc two-end-point polar angle φ and two-end-point polar diameter p1With pn+1, the equation of equiangular spiral
For p1= p n+1e^(φk)。
Example 1：If M=2, X=1.618, N=5, then β=pi/2, k=lnX/ β=0.3063489, φ=2 β=π, the π/5, R of θ=21=
1.345p1, R2=1.618R1=2.176 p1, the equiangular spiral arc of two side is gold helical arc, gold helical arc in the runner
Two ends polar diameter compares p1：pn+1=1：2.618, its helical direction of rotation curvature is gradually small, adjacent arcs n and arc n+1 song on direction of rotation
Rate radius ratio is 1:1.618, it is angularly 90 °, 180 ° of polar angle, two side angle is 72 ° in runner, the air-flow streamline in runner
It is gold vortex filament.
Example 2：If M=2, X=0.618, N=13, then β=pi/2, k=lnX/ β=（–）π/13 of 0.3063489, φ=2 β=π, θ=2,
R1=0.831p1, R2=0.618 R1=0.514p1；R1=10mm, R2=6.18 mm, p1=12.034mm, p2=7.437 mm, p3=
The equiangular spiral arc of two side is gold helical arc in the 4.596 mm runners, and gold helical arc two ends polar diameter compares p1：pn+1 =1:
0.382, its helical direction of rotation curvature is gradually big, and adjacent arcs n and arc n+1 radius of curvature ratio is 1 on direction of rotation:0.618,
Be angularly 90 °, 180 ° of polar angle, the wall angle of runner two is 27.69 °, and the air-flow streamline in runner is gold vortex filament, example 2 with
The helical direction of rotation of example 1 is opposite.
Example 3：If M=6, X=2, N=8, then β=π/6, k=lnX/ β=1.32381359, φ=6 β=π, the π/8, R of θ=21=
2.394p1, R2=2R1=4.788p1, R3=2R2=9.576p1, R4=2R3=19.152p1, R5=2R4=38.304p1, R6=2R5=
76.608 p1, in the runner equiangular spiral arc of two side for 6 angularly 30 ° of arc n be connected, two ends polar diameter compares p1：pn+1=1：
64, its helical direction of rotation curvature is gradually small, and adjacent arcs n and arc n+1 radius of curvature ratio is 1 on direction of rotation:2, angularly for
30 °, 180 ° of polar angle, the wall angle of runner two is 45 °, and the air-flow streamline in runner is vortex filament.
Example 4：If M=6, X=1/2, N=13, then β=π/6, k=lnX/ β=（–）The π of the π/3, θ of 1.32381359, φ=4 β=2=2/
13, R1=1.197 p1, R2=（1/2）R1=0.599 p1, R3=（1/2）R2=0.300 p1, R4=（1/2）R3=0.150 p1；N=4,
R1=10mm, R2=（1/2）R1=5 mm, R3=（1/2）R2=2.5 mm, R4=（1/2）R3=1.25mm, p1=8.354 mm, p2=
4.177 mm, p3=2.088 mm, p4=1.044 mm, p5The equiangular spiral arc of two side is 4 in=0.522 mm, the runner
Angularly 30 ° of arc n are connected, and two ends polar diameter compares p1：pn+1=1：0.0625, its helical direction of rotation curvature is gradually big, on direction of rotation
Adjacent arcs n and arc n+1 radius of curvature ratio is 2:1, it is angularly 30 °, 120 ° of polar angle, the wall angle of runner two is 27.69 °, stream
Air-flow streamline in road is vortex filament.
Equiangular spiral direction of rotation is calculated anyway, and present apparatus interior air-flow is flowed at vortex-like runner wide opening, at slot
Outflow, equiangular spiral direction of rotation is unified gradually big calculating or by k values after curvature gradually small calculating by negative again to be converted by curvature.
When vortex-like runner is placed vertically, air-flow is contour flowing, keeps theorem and vortex filament to keep theorem according to vortex sheet, vortex-like
Vortex sheet and vortex filament in runner can be kept；According to Venturi effect, the effect shows restricted flow in the mistake by diminution
During flow section, there is the phenomenon of flow velocity increase in fluid, and its flow velocity is inversely proportional with flow section, and vortex-like runner flow section is along isogonism
Helical direction of rotation is tapered to narrow, and pressure reduces, flow velocity increase；Bernoulli equation：P+(1/2) ρV2+ρgh=C（C is constant）,
It is contour to flow then P+ (1/2) ρ V2=C, then pressure difference C-P=(1/2) ρ V2, then the pressure differential of fine drop is pressure difference in air-flow
With front face area S product multiplied by with resistance coefficient, therefore F=（C ﹣ P）SCResistance coefficient=(1/2)ρV2SCResistance coefficientFor gas-flow resistance, air-flow
Drag direction is identical with air velocity direction；When vortex-like runner horizontal positioned or slightly horizontal sextant angle are placed, because the runner discrepancy in elevation is drawn
Play potential variation ρ g（h2- h1）Less than kinetic energy change (1/2) ρ（V2 2- V1 2）10% when or the discrepancy in elevation be less than 15 millimeters, gravity shadow
Sound is ignored, and is applicable the Bernoulli equation of contour flowing.
When air-flow rich in fine drop passes through the vortex-like runner placed vertically, vortex is formed, each particle is inside along runner
Be vortexed and advance, runner narrows, pressure reduces, flow velocity increase, each particle trace of runner be in vortex filament in runner, runner vortex filament for etc.
Angle spread arc, particle does speed change circular motion along each arc n of equiangular spiral arc, and moving radius is arc n radius of curvature Rn, air resistance
Try hard to keep and hold centripetal moving equilibrium, the vortex sheet and vortex filament in vortex-like runner are kept, during the angle beta such as equiangular spiral is inwardly rotated through, arc n
+ 1 radius of curvature has shunk 1-e^ (- β | k |) times, arc n+1 radius of curvature R in the normal directionn+1It is arc n radius of curvature Rn
E^ (- β | k |) times, the fine drop of certain particle diameter by air drag in the same direction effect by herein when, according to FTo=mV2/ R, line
Speed is constant, and the centripetal force radius in runner reduces, the increase of centripetal force angular speed, FTo=mV2/ [Rn× e^ (- β | k |)], now
By centripetal force increase [1-e^ (- β | k |)]/e^ needed for runner (- β | k |) times, and air drag is needed at once because runner narrows
To arc n+2 position width when, linear velocity just increases [1-e^ (- β | k |)]/e^ (- β | k |) times, then now linear velocity is not
Become, air drag is much smaller than required centripetal force, the front face area S of the fine drop of certain particle diameter immobilizes, and linear velocity is at once
Do not increase, air drag FIt is empty=(1/2) ρAirV2SCResistance coefficientDo not increase, therefore fine drop is powerless by next section of runner, and by
Centrifuge, be thrown on the outside of runner rotation direction then wall；The fine drop of relatively smaller yardstick herein, radius is smaller, windward side
Smaller, the air drag F of productIt is empty=(1/2)ρAirV2SCResistance coefficient=（C ﹣ P）SCResistance coefficient, the different fine drop stress ratio of particle diameter, which is equal to, meets
Wind area is than i.e. equal to the duplicate ratio of its radius, according to FTo=mV2/ R, air drag FIt is empty=FTo, then mV2/R=（C ﹣ P）SCResistance coefficient,
Then R=mV2/（C ﹣ P）SCResistance coefficient... 3., formula 3. with area density and volume replace by middle quality, m/S=ρLiquidVBall/ S is tiny
Drop is considered as spheroid, and volume about falls area and obtains m/S=(4/3) r ρLiquid, take back formula 3. then R=(4/3) r ρLiquidV2/（C ﹣ P）
CResistance coefficientUnderstand that speed change circular motion radius R is directly proportional to fine drop radius r, linear velocity is constant and identical with air velocity, its
Its parameter is definite value, then the smaller then moving radius R of r are smaller, and the fine drop stress of different-grain diameter is than equal to its radius
Duplicate ratio, if particle diameter different fine drop 1 and fine drop 2, r1 > r2, and fine drop 1 passes right through arc n and divided
From then their suffered air drag FSky 1：FSky 2=（C ﹣ P）S1CResistance coefficient：（C ﹣ P）S2CResistance coefficient= S1： S2=r1 2：r2 2, and because of them
Arc n runners are passed through simultaneously, then FTo 1=m1V2/Rn, FTo 2=m2V2/Rn, therefore FTo 1/ FTo 2= m1/ m2, quality m density and volume
F is obtained after replacementTo 1/ FTo 2= r 1 3/ r 2 3, it is separated because fine drop 1 passes right through arc n, then FTo 1= FSky 1, because of FTo 1=FTo 2
（r 1 3/ r 2 3）, FSky 1=FSky 2（r1 2/ r2 2）, then FTo 2（r 1 3/ r 2 3）=FSky 2（r1 2/ r2 2）It is reduced to FSky 2/ FTo 2= r 1/ r 2,
Obvious FSky 2> FTo 2, and equiangular spiral, when the angle beta such as inwardly rotating through, fine drop 1 passes right through arc n and is separated, then FSky 1＜
FTo n+1= FTo n/ e^(–β|k|）, because of the F of fine drop 2Sky 2> FTo 2And FSky 2/ FTo 2= r 1/ r 2, then F is neededSky 2> FTo 2+1I.e.
FSky 2> FTo 2/ e^(–β|k|）, fine drop 2 can just continue to do speed change circumference by arc n and arc n+1 common normal position transports
It is dynamic, by FSky 2/ FTo 2= r 1/ r 2Substitute into FSky 2> FTo 2/ e^(–β|k|）It can obtain：r 2＜ e^ (- β | k |）r 1That is it is thin
The radius of droplet be less than e^ (- β | k |）r 1When, can continue through arc n and arc n+1, and radius be more than or equal to e^ (- β | k |）
r 1Fine drop be all separated wall.Air-flow is moved on, and as vortex-like runner curvature increases gradually, there is relatively smaller gradually
The fine drop of yardstick is separated wall.
When vortex-like runner horizontal positioned or slightly horizontal sextant angle are placed, when gravity influence is ignored, with reference to vertical placement
Method.
When the present invention is the turbulent structure Curvature varying using vortex-like runner, fluid linear velocity is different with angular speed change
Step, and then cause the stress transient change of fluid carry-over thing and separate it with fluid.
When air-flow rich in fine drop is by vortex-like runner, it is vortexed and advances；Vortex-like runner flow section ecto-entad is gradually
Enter constriction, flow velocity increase, pressure reduces；Two side is isometric equiangular spiral in vortex-like runner, and equiangular spiral has self phase
As characteristic, in addition, the adjacent two isogonisms arc tie point of equiangular spiral altogether tangent line, common normal, Curvature varying hour angle velocity variations, and
Linear velocity is constant.Surround to do by the vertical line of origin along equiangular spiral if air-flow is perfect fluid, contour flowing, on horizontal plane and become
Speed motion, linear velocity increase, the direction of motion is surrounded constantly to be changed by the vertical line of origin, then the horizontal streamline of air-flow particle is also equal
For equiangular spiral, the horizontal trace of particle is overlapped with horizontal streamline, and flow section flows to tapered along level；By the level of particle by
Power situation is split, and the equiangular spiral arc for often turning over isogonism is circumference arc, and the center of circle is fixed, and is moved on this section of equiangular spiral arc
Particle is acted on by normal component of force and does speed change circular motion around the center of circle, and normal component of force is centripetal force, and the center of circle, normal component of force are pointed in direction
The component of the horizontal vertical line motoricity of origin is directed to, the centripetal force only changes the direction of linear velocity, does not change the size of linear velocity,
And another tangential component of the horizontal vertical line motoricity of origin is pointed to, with linear velocity in the same direction, the tangential component does not change linear velocity
Direction, only changes the resistance balance of the size, then particle all directions of linear velocity, gas does speed change circular motion along vortex-like runner can
Pass through runner；Assuming that air is perfect gas, fine drop is based on the tiny globule（The hereinafter referred to as globule, because of globule body
The small surface curvature of product is big, and surface tension is big, can be considered spheroid）, the globule in the horizontal plane with equiangular spiral arc（Vortex filament）On sky
Vapour lock dynamic balance, the globule can be synchronized with the movement and smooth by this section of vortex-like runner, the globule along equiangular spiral arc with air molecule
The centripetal force that normal direction is produced by air drag points to the center of curvature of equiangular spiral arc（The center of circle）, the globule by centripetal force make be used as
Speed change circular motion,
Then centripetal force FTo=mV2/ R, air drag FIt is empty=(1/2)CρAirSV2 ,
FTo=FIt is empty, mV2/R=(1/2)CρAirSV2 ,
M is globule quality, and R is globule speed change circular motion radius, and C is coefficient of air resistance, the coefficient of air resistance of spheroid
It is that front face area is the big area of a circle of the globule for 0.5, S, V is linear velocity, and the globule is moved in the same direction with air-flow, and linear velocity is identical,
Then m/R=(1/2) C ρAirS,
R= m/((1/2)CρAirS)； ……①
Because of m=ρWaterVBall ,
Then m/S=ρWaterVBall/S=(4/3)πr3ρWater/(πr2) =(4/3)rρWater； …… ②
2. in substituting into 1.
R=m/((1/2)CρAirS),
R=m/S×1/((1/2)CρAir) =(4/3)rρWater/((1/2)CρAir),
Because of C=0.5,
Then R=(16/3) r ρWater/ ρAir
So：In vortex-like runner, it is unrelated with tangential linear velocity size that the globule is speed change circular motion radius R by normal direction centripetal force,
It is directly proportional to globule radius r, is directly proportional, is inversely proportional with atmospheric density to the density of water；The same scale globule does speed change circumference fortune
Dynamic radius is identical, and fixed size globule moving radius is definite value.According to formula R=(16/3) r ρWater/ ρAirUnderstand speed change circumference fortune
Dynamic radius R is equilibrium radius, and the respective radius r tiny globule moves suffered air drag in the circumference runner that radius is more than R
Centripetal motion is done more than centripetal force；Suffered air drag is moved in the circumference runner that radius is less than R to centrifuge less than centripetal force
Motion；Suffered air drag is moved in the circumference runner that radius is equal to R to move in a circle equal to centripetal force.
Because of Bernoulli equation：P+(1/2)ρV2+ρgh=C（C is constant）, P+ (1/2) ρ V during level contour flowing2=C（C
For constant）, then in desired air, air-flow carries front face area and passed through for the S globule in the arc n of vortex-like runner, and the globule is in whirlpool
Certain puts the difference that is under pressure on line（That is air drag）(1/2)CResistance coefficientρAirSV2=（C ﹣ P）SCResistance coefficient, and FTo=mV2/Rn；In flowing
Vortex sheet is tapered, and flow section is gradually small, flow velocity increase, and according to Venturi effect, its flow velocity is inversely proportional with flow section, flow section
Reduce, pressure reduce, linear velocity V increase, self similitude and contour flowing because of equiangular spiral, flow section reduce etc. than in
Vortex-like width of flow path reduces, and it is exactly moving closer to for vortex-like runner both sides inwall equiangular spiral arc that the width of vortex-like runner, which reduces,
Because two equiangular spiral arcs are common origin rotations, each line in same end of two equiangular spiral arcs, its wire length ratio is equal to equiangular spiral
The polar diameter ratio of arc, two isogonism arc n are equal to arc n polar diameter ratios with end wire length ratio, therefore flow section is in the area ratio at arc n two ends
The other end is flowed to equal to arc n two ends polar diameter ratio, that is, air-flow from arc n one end, its linear velocity compares V2：V1It is inversely proportional to arc n two ends
Polar diameter ratio is V2：V1=1：E^ (- β | k |), linear velocity V is progressively increased on arc n；When air-flow contracts by vortex-like runner radius of curvature
Small normal（Arc n and arc n+1 common normal）When Rn+1= Rn× e^ (- β | k |), linear velocity V does not increase at once, and front face area is
S globule pressure is poor（That is air drag）For (1/2) CResistance coefficientρAirSV2It is constant, and centripetal force F needed for the pointTo=mV2/
Rn+1=mV2/ [Rn× e^ (- β | k |)], while angular velocity omega=V/ Rn+1=V/ [Rn × e^ (- β | k |)], centripetal force and angle speed
Degree both increases [1-e^ (- β | k |)]/e^ (- β | k |) times, i.e., the globule continues through and done the circumference of more deep camber here
Motion need to increase air drag, now linear velocity with angular speed change i.e. it is unrelated with linear velocity, front face area for S the globule without
Method is by n+1 sections of the arc of vortex-like runner, and the wall that is separated, if the globule is originally just big in the suffered air drag of arc n runners operation
Centripetal force needed for after radius of curvature diminution then still can be by n+1 sections of the arc of vortex-like runner.
The smaller globule of yardstick, front face area is smaller, if globule A radius rAWith globule B radius rB, rA> rB, on business
Formula R=(16/3) r ρWater/ρAir, then RA=(16/3) rAρWater/ρAir, RB=(16/3) rBρWater/ρAir
Then RA>RB, vortex-like runner arc n radiuses are RA, air drag FEmpty A=（C ﹣ P）SCResistance coefficient= πrA 2（C ﹣ P）CResistance coefficient, centripetal force
FTo A=mAV2/RA, globule A passes right through arc n and is separated, then mV2/RA=πrA 2（C ﹣ P）CResistance coefficient, for the globule B of smaller yardstick
When by arc n, air drag FEmpty B=（C ﹣ P）SCResistance coefficient= π rB 2（C ﹣ P）CResistance coefficient, centripetal force FTo B=mBV2/RA, because of RA>RBThen
mBV2/RB> mBV2/RA, FEmpty B=mBV2/RB> mBV2/RAI.e. air drag is more than centripetal force, when air-flow passes through vortex-like runner curvature
The normal of reduced radius（Arc n and arc n+1 common normal）When RA+1= RA× e^ (- β | k |), need air drag to be more than centripetal force FEmpty B
=mBV2/RB> mBV2/[RA× e^ (- β | k |)] it is reduced to RB＜ RA× e^ (- β | k |), because of R=(16/3) r ρWater/ρAirSubstitute into RB＜
RA× e^ (- β | k |) obtain rB＜ rA× e^ (- β | k |), i.e. globule B radius be less than globule A radiuses e^ (- β | k |) times can continue
Pass through arc n+1.Next section of arc n+1 vortex-like runner separation principle is ibid.
The shape of fine drop, stressing conditions can similarly be obtained close to the globule in air：RLiquid =(16/3)rLiquidρLiquid/ρGas,
In vortex-like runner, fine drop is speed change circular motion radius R by normal direction centripetal forceLiquidIt is unrelated with tangential linear velocity size,
With fine drop radius rLiquidIt is directly proportional, is directly proportional, is inversely proportional with gas density to the density of fine drop；The tiny liquid of same scale
It is identical that drop does speed change circular motion radius, and fixed size fine drop moving radius is definite value.According to formula RLiquid =(16/3)rLiquidρLiquid/
ρGasUnderstand speed change circular motion radius RLiquidFor equilibrium radius, respective radius rLiquidFine drop radius be more than RLiquidCircumference runner
Air resistance does centripetal motion more than centripetal force suffered by middle motion；It is less than R in radiusLiquidCircumference runner in move suffered gas resistance
Power does centrifugal motion less than centripetal force；It is equal to R in radiusLiquidCircumference runner in move suffered air resistance and do circle equal to centripetal force
Zhou Yundong.
Common fine drop particle diameter is micron order, from above formula：RLiquid =(16/3)rLiquidρLiquid/ρGasUnderstand that diameter is 1 micron tiny
Droplet radius r=0.5 μm, its speed change circular motion radius R=(16/3) r ρ in vortex-like runnerWater/ρGas=(16/3)×0.5μ
m×1000㎏/m3÷1.293㎏/m3=2.062mm, then using arc n radius of curvature to be less than 2.062mm vortex-like runner can be with
Remove 1 micron of fine drop of diameter；5 microns of fine drop radius r=2.5 μm of diameter, its in vortex-like runner speed change circumference fortune
The mm of dynamic radius R=10.31, thus 1-5 microns of fine drop can using the mm of arc radius 10.31 to 2.062e^ (- β | k
|) mm vortex-like runner continuously removes.
The drainage direction of the present apparatus is vertical with airflow direction or in the same direction, and vortex-like runner is enriched with liquid film, and liquid flows down by gravity,
Bottom plate or base of frame are collected in, is flowed out after collecting from bottom hole or along air-flow opposite direction from air flow inlet bottom.
Airflow condition is more complex in practice, there is gas-liquid mass transfer, temperature change, different scale in vortex-like runner
There is evaporation, condensation, collision, change in shape in drop, usual air-flow contains higher humidity even over-saturation humidity, according to Charlie
Law：P = P0(1+t/273), Bernoulli equation：P+(1/2)ρV2=C（C is constant）And Venturi effect：Flow section with
Fluid velocity is inversely proportional, then air flow pressure reduces during vortex-like runner is tapered, speed increases, temperature reduction, water vapor condensation
Heat release, the air-flow after heat is cooled absorbs and taken away, and completes heat exchange function, reduces vortex-like runner bulk temperature, increase
The condensing droplet of vapor, increases fine drop yardstick, and then strengthen centrifugal separating effect.Therefore, the present apparatus has necessarily
Dehumidification function, installs liquid storing barrel, ultrasonic mist device additional or pressure makes mist device or liquid dispensing apparatus, circulating pump, EGR can
Strengthen effect on moisture extraction, the vortex-like runner for making the water or liquid collected by the present apparatus be entered back into after being atomized as work mist in device,
In mist amount increase in vortex-like runner, the further saturation of humidity, water vapor condensation mist formation, work mist, condensation newly-increased mist and air-flow
Fine drop mix and be centrifuged jointly, heat is entrained by the flow of air after condensation separation, there is water or liquid flow inside device
The part-structure temperature of warp can be reduced, and for a period of time, the temperature and device internal temperature of water or liquid can be with for continuous circulation work
Continuous reduction, causes dehumidification by condensation effect to further enhance；Because of Charles' law P=P0(1+t/273), Bernoulli equation P+
(1/2)ρV2=C（C is constant）, then P0(1+t/273) =C-(1/2)ρV2, P0=101325Pa is standard atmospheric pressure, ρ=1.293
Kg/m3, works as P0During=C, t=﹣ (273/2) ρ V2/ P0；The radius of curvature for increase isogonism arc bar number, reducing isogonism arc can be with bright
Aobvious increase cooling-down effect, improves dehumidification rate, the cumulative effect on moisture extraction that long-play is produced in certain space is more preferably, more suitable
Close the limited civilian place of moisture.
Reynolds number physically represents inertia force and the ratio of viscous force magnitude, belongs to tangent vector, technical side of the present invention
Case is to change the direction of motion of target fluid by the structure in the horizontal flow field of change, so as to realize gas-liquid separation, belongs to change
Normal vector, normal vector and tangent vector are vertical, and for the fine drop in present apparatus air-flow, gas-flow resistance is unable to maintain that radius is less than
The speed change circular motion of equilibrium radius, normal direction Impact direction changes, and normal velocity is zero when changing normal direction force direction, with linear velocity
It is unrelated, do not influenceed by inertia force and viscous force, so not considering Reynolds number.
Present apparatus operation a period of time, vortex-like runner inner wall both sides can all be enriched with moisture film or liquid film, and moisture film or liquid film are by weight
Power flow to bottom plate, collects reverse flow after certain liquid height and goes out air flow inlet, liquid level is different because of liquid difference, it is considered to this
Liquid level can influence air-flow inlet, can increase vortex-like runner inner wall height by this liquid level, while keeping actual gas
Inflow entrance, import outlet flow equalization.
When the present apparatus makes, first by formula RLiquid =(16/3)rLiquidρLiquid/ρGasThe fine drop radius of correspondence key component, density
Equilibrium radius is calculated with gas density, entity, which makes radius, can be called centrifugation radius, and centrifugation radius is less than equilibrium radius, to increase
Strong demisting effect on moisture extraction；Increase equiangular spiral arc arc n numbers, can strengthen except fog effect；Equiangular spiral arc polar diameter ratio is reduced, can be with
Enhancing removes fog effect；Reduce 360 °/N of the anglec of rotation, that is, increasing N, (N takes in Fibonacci sequence one, and N >=3) is also to subtract
Small flow section width, can strengthen except fog effect.The stacked shapes of runner arm depend on the convenient placement in gas channel
Form, the air inlet sectional area sum of vortex-like runner is not less than gas channel sectional area.Note avoiding air inlet during design and go out
Block mutually in air port.
The beneficial effects of the invention are as follows, improve removal efficiency, have dehumidification function concurrently, compact structure, using simple, manufacture with
The cheap product of operating cost.
Brief description of the drawings
The present invention is further described with reference to the accompanying drawings and examples.
Fig. 1 is structure three-view diagram, the profile of the specific embodiment of the invention one.
1. profile A '-A ' in Fig. 1,2. front views, 3. top views, 4. side views, 5. vortex-like runners, 6. runners
Arm, 7. frameworks, 8. air-flow inflow directions, 23. air-flows outflow direction, 25. top layer collar extensions.
Fig. 2 is the section of structure enlarged drawing of the specific embodiment of the invention one.
5. vortex-like runner in Fig. 2,6. runner arms, 8. air-flow inflow directions, 23. air-flows outflow direction, 25. top layer rings
Mouthful.
Fig. 3 is the section of structure partial enlarged drawing of the specific embodiment of the invention one.
5. vortex-like runner in Fig. 3,6. runner arms, 8. air-flow inflow directions, 9. side wall equiangular spiral arcs, 10. side walls etc.
Angle spread arc, 23. air-flows outflow direction, 24. vortex-like runner exit airflow directions, O1. sides wall equiangular spiral arc（9）Arc 1 is justified
The heart, O2. sides wall equiangular spiral arc（9）The center of circle of arc 2, O3. sides wall equiangular spiral arc（9）The center of circle of arc 3, O4. sides wall equiangular spiral
Arc（9）The center of circle of arc 4, O1 ' sides wall equiangular spiral arc（10）The center of circle of arc 1, O2 ' sides wall equiangular spiral arc（10）The center of circle of arc 2, O3
' sides wall equiangular spiral arc（10）The center of circle of arc 3, O4 ' sides wall equiangular spiral arc（10）The center of circle of arc 4.
Fig. 4 is the vortex-like cross section of fluid channel flow field schematic diagram of the specific embodiment of the invention one.
9. side wall equiangular spiral arc in Fig. 4,10. side wall equiangular spiral arcs, 11. streamlines, 12. streamlines, 13. streamlines,
14. streamline, O. origins, O1. sides wall equiangular spiral arc（9）The center of circle of arc 1, O2. sides wall equiangular spiral arc（9）The center of circle of arc 2,
O3. side wall equiangular spiral arc（9）The center of circle of arc 3, O4. sides wall equiangular spiral arc（9）The center of circle of arc 4, β isogonisms, θ equiangular spirals
The arc origin anglec of rotation, p1Polar diameter, p2Polar diameter, p3Polar diameter, p4Polar diameter, p5Polar diameter, R1The radius of arc 1, R2Arc radius, R3.
The radius of arc 3, R4The radius of arc 4, the angle beta arc 1 such as H1., the angle beta arc 2 such as H2., the angle beta arc 3 such as H3., the angle beta arc 4 such as H4..
Fig. 5 is structure three-view diagram, profile, the perspective view of the specific embodiment of the invention two.
5. vortex-like runner in Fig. 5,6. runner arms, 8. air-flow inflow directions, 15. profile B '-B ', 16. front views,
17. top view, 18. side views, 19. perspective views, 20. vent covers, 21. bottom plates, 23. air-flows outflow direction, 26. vent covers are opened
Mouthful.
Fig. 6 is the section of structure enlarged drawing of the specific embodiment of the invention two.
5. vortex-like runner in Fig. 6,6. runner arms, 8. air-flow inflow directions, 24. vortex-like runner exit airflow directions.
Fig. 7 is the section of structure partial enlarged drawing of the specific embodiment of the invention two.
5. vortex-like runner in Fig. 7,6. runner arms, 8. air-flow inflow directions, 9. side wall equiangular spiral arcs, 10. side walls etc.
Angle spread arc, 24. vortex-like runner exit airflow directions, O1. sides wall equiangular spiral arc（9）The center of circle of arc 1, O2. sides wall isogonism
Helical arc（9）The center of circle of arc 2, O1 ' sides wall equiangular spiral arc（10）The center of circle of arc 1, O2 ' sides wall equiangular spiral arc（10）Arc 2 is justified
The heart.
Fig. 8 is the vortex-like cross section of fluid channel flow field schematic diagram of the specific embodiment of the invention two.
9. side wall equiangular spiral arc in Fig. 8,10. side wall equiangular spiral arcs, 11. streamlines, 12. streamlines, 13. streamlines,
14. streamline, 22. streamlines, O. origins, O1. sides wall equiangular spiral arc（10）The center of circle of arc 1, O2. sides wall equiangular spiral arc（10）
The center of circle of arc 2, O1 ' ' sides wall equiangular spiral arc（9）The center of circle of arc 1, O2 ' ' sides wall equiangular spiral arc（9）The center of circle of arc 2, O1 ' streams
Line（22）The center of circle of arc 1, O2 ' streamlines（22）The center of circle of arc 2, β isogonisms, the θ equiangular spiral arc origin anglecs of rotation, p1Polar diameter, p2.
Polar diameter, p3Polar diameter, R1The radius of arc 1, R2Arc radius, H1. isogonisms arc 1, H2. isogonisms arc 2, A. sides wall equiangular spiral
Arc（10）End points, A ' streamlines（22）End points, A ' ' sides wall equiangular spiral arc（9）End points, B. sides wall equiangular spiral arc（10）
Adjacent two isogonisms arc tie point Point of Inflection, B ' streamlines（22）Adjacent two isogonisms arc tie point Point of Inflection, B ' ' sides
Wall equiangular spiral arc（9）Adjacent two isogonisms arc tie point Point of Inflection, C. sides wall equiangular spiral arc（10）End points, C ' streams
Line（22）End points, C ' ' sides wall equiangular spiral arc（9）Point of Inflection.
Embodiment
Embodiment one
Remove the mist in air draught, the tiny globule of 5 microns of key component diameter, then R=(16/3) r ρWater/ρAir, R=
10.31mm, the present apparatus makes radius and takes RSystem=10mm, RSystem＜ R are centrifugation radius.If M=6, X=1/2, N=13, then β=π/6, k=
lnX/β=（–）The π/13, R of the π/3, θ of 1.32381359, φ=4 β=2=21=1.197 p1, R2=（1/2）R1=0.599 p1, R3=（1/2）
R2=0.300 p1, R4=（1/2）R3=0.150 p1；N=4, R1=10mm, R2=（1/2）R1=5 mm, R3=（1/2）R2=2.5
Mm, R4=（1/2）R3=1.25mm, p1=8.354 mm, p2=4.177 mm, p3=2.088 mm, p4=1.044 mm, p5=
In 0.522 mm, the runner equiangular spiral arc of two side be 4 angularly 30 ° of arc n be connected, two ends polar diameter compares p1：pn+1=1：
0.0625, its helical direction of rotation curvature is gradually big, and adjacent arcs n and arc n+1 radius of curvature ratio is 2 on direction of rotation:1, isogonism
Spend for 30 °, 120 ° of polar angle, the wall angle of runner two is 27.69 °, and the air-flow streamline in runner is vortex filament.
As shown in Fig. 1, present apparatus runner arm（6）For horizontal endless, stacking is positioned to hemispherical, there is framework（7）Connection is solid
Fixed, after being fixed in gas channel, air-flow enters from enriched liquid in top outflow, device from bottom leans on gravity through bottom gap
Outflow.
Fig. 2 is Fig. 1 midship section figure A '-A '（1）Enlarged drawing.
As shown in fig. 3, the vortex-like runner of the present apparatus（5）Interior two side profile, each arc home position and radius R1=10mm,
R2=（1/2）R1=5 mm, R3=（1/2）R2=2.5 mm, R4=（1/2）R3= 1.25mm。
The vortex-like runner of the present apparatus as shown in Fig. 4（5）Streamline in the geometrical relationship of interior two side equiangular spiral arc, runner.
Embodiment two
Remove the mist in air draught, the tiny globule of 5 microns of key component diameter, then R=(16/3) r ρWater/ρAir, R=
10.31mm, the present apparatus makes radius and takes RSystem=10mm, RSystem＜ R are centrifugation radius.If M=2, X=0.618, N=13, then β=pi/2, k=
lnX/β=（–）The π/13, R of 0.3063489, φ=2 β=π, θ=21=0.831p1, R2=0.618 R1=0.514p1；R1=10mm, R2=
6.18 mm, p1=12.034mm, p2=7.437 mm, p3The equiangular spiral arc of two side is gold spiral shell in=4.596 mm, the runner
Bank, gold helical arc two ends polar diameter compares p1：pn+1=1:0.382, its helical direction of rotation curvature is gradually big, phase on direction of rotation
Adjacent arc n and arc n+1 radius of curvature ratio is 1:0.618, it is angularly 90 °, 180 ° of polar angle, the wall angle of runner two is 27.69 °,
Air-flow streamline in runner is gold vortex filament.
As shown in Fig. 5, present apparatus runner arm（6）For vertical bar shape, stacking is positioned to tubbiness, vent cover（20）And bottom plate
（21）It is connected, after being fixed in gas channel, air-flow enters from the outflow of open top cover gab from surrounding.
Fig. 6 is Fig. 5 midship section figure B '-B '（15）Enlarged drawing.
As shown in Fig. 7, the vortex-like runner of the present apparatus（5）Interior two side profile, each arc home position and radius R1=10mm,
R2=5 mm。
The vortex-like runner of the present apparatus as shown in Fig. 8（5）Streamline in the geometrical relationship of interior two side equiangular spiral arc, runner,
Streamline（22）The tangential direction of B ' points.
Claims (8)
1. a kind of whirlpool formula demister, especially relates to utilize the fine drop in a kind of vortex-like structure centrifugation removal air-flow
Device, it is characterised in that：The runner arm that the present apparatus is placed by one group of stacking（6）Constitute, the gap between runner arm is vortex-like stream
Road (5), the section of vortex-like runner is vortex sheet, and vortex sheet border is the equiangular spiral arc that two isometric same origins have angle, runner arm
Surrounding framework (7) uses vent cover（20）And bottom plate（21）It is fixed；It is vortexed when air-flow containing fine drop is by vortex-like runner
Advance, the progressive constriction of flow section, pressure reduces, flow velocity increase, air-flow is constrained along vortex filament by runner and does speed change circular motion, whirlpool
Curvature increases gradually on line, and the fine drop of different-grain diameter does speed change circumference fortune by each self-corresponding air resistance equilibrium radius
It is dynamic, it is centrifuged during by Point of Inflection on vortex filament, air-flow continues through runner, and fine drop is got rid of to runner inner wall
Liquid film is enriched with into, liquid film flow to bottom discharge because of gravity.
2. vortex-like runner according to claim 1, it is characterised in that：Cross sectional boundary is that two isometric same origins have angle
Equiangular spiral arc a, arc therein can be overlapped along after the origin anglec of rotation with another arc.
3. vortex-like runner according to claim 1, it is characterised in that：Two equiangular spiral arc angles of cross sectional boundary are 2
π/N, N take in Fibonacci sequence one, and N >=3.
4. equiangular spiral arc according to claim 1, it is characterised in that：Equiangular spiral arc two-end-point polar angle is two ends point pole
The angle in footpath is less than or equal to π.
5. equiangular spiral arc according to claim 1, it is characterised in that：The isogonism of equiangular spiral arc is two adjacent polar diameters
Angle, angularly equal to π/M, M is isogonism number, M >=2.
6. equiangular spiral arc according to claim 1, it is characterised in that：The radius of curvature of equiangular spiral arc isogonism correspondence arc
The equilibrium radius of speed change circular motion is done in runner less than or equal to fine drop.
7. runner arm according to claim 1, it is characterised in that：Shape includes annular, horizontal stripe shape, vertical bar shape.
8. runner arm stacking according to claim 1 is placed, it is characterised in that：Annular channel arm stacked shapes include hemisphere
Shape, tubbiness, taper, round table-like, semicircle shape, horizontal stripe shape runner arm stacked shapes include tabular, halfpace shape, vertical bar shape runner arm layer
Folded shape includes tabular, tubbiness, taper, semicircle shape.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710649122.7A CN107281825A (en) | 2017-08-02 | 2017-08-02 | A kind of whirlpool formula demister |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710649122.7A CN107281825A (en) | 2017-08-02 | 2017-08-02 | A kind of whirlpool formula demister |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112890698A (en) * | 2021-01-13 | 2021-06-04 | 广州初色科技有限公司 | Mop for smart home life |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112890698A (en) * | 2021-01-13 | 2021-06-04 | 广州初色科技有限公司 | Mop for smart home life |
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