CN108082764A - A kind of fluid reservoir and its force calculation method with two-double cylinder grid - Google Patents
A kind of fluid reservoir and its force calculation method with two-double cylinder grid Download PDFInfo
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- 239000012530 fluid Substances 0.000 title claims abstract description 11
- 239000007788 liquid Substances 0.000 claims abstract description 97
- 238000002347 injection Methods 0.000 claims abstract description 8
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- 230000008901 benefit Effects 0.000 description 9
- 239000003921 oil Substances 0.000 description 3
- 230000010355 oscillation Effects 0.000 description 3
- 230000021715 photosynthesis, light harvesting Effects 0.000 description 3
- 238000013016 damping Methods 0.000 description 2
- 230000007246 mechanism Effects 0.000 description 2
- 238000005192 partition Methods 0.000 description 2
- 238000004088 simulation Methods 0.000 description 2
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 2
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- 239000010779 crude oil Substances 0.000 description 1
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- 239000002356 single layer Substances 0.000 description 1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
- B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
- B65D90/00—Component parts, details or accessories for large containers
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Abstract
The invention belongs to device for storing liquid technical fields, are related to a kind of fluid reservoir and its force calculation method with two-double cylinder grid, including tank skin, tank deck, grid one, grid two, liquid injection port, tank bottom；Tank skin, grid one, grid two are cylindrical shape, and three is concentric in arbitrary cross section, and wherein grid one is internal layer grid, and grid two is outer layer grid；Grid one, grid two are open-celled structure, and it is uniform that hole, which influences coefficient,；By being weldingly connected between grid one, grid two and abhiseca and tank bottom；Liquid injection port is in the lower part of tank skin, for injecting liquid into fluid reservoir.Fluid reservoir inside hole dissipation liquid tank by rocking energy, according to the power suffered by linear potential barrier theoretical calculation fluid reservoir.Compared with prior art, the present invention subtracting, rolling effect is good, and open-celled structure can reduce consumptive material, light weight, economy, fluid reservoir dischargeable capacity is influenced small.
Description
Technical Field
The invention belongs to the technical field of liquid storage devices, relates to a liquid storage tank with a double-layer cylindrical grating and a stress calculation method thereof, and particularly relates to a liquid storage tank which can achieve the effect of suppressing sloshing liquid by means of good energy dissipation performance of the double-layer cylindrical grating, namely by means of the fact that sloshing energy in a liquid tank is dissipated through holes.
Background
In the engineering fields of aerospace, hydraulic engineering aqueduct structures, large ocean vessel transportation, ultra-large crude oil storage tanks and the like, liquid sloshing is a ubiquitous phenomenon and affects the design of engineering structures and the safety of engineering operation. The tank body is characterized by large storage capacity, and when the external excitation frequency is close to the natural frequency of the container, the liquid oscillation can generate resonance and generate large-amplitude oscillation. Vigorous liquid oscillations will create extreme hydrodynamic pressure on the container walls, compromising container safety. For example, for marine vehicles such as ships, naval vessels and the like, the damage of the tank body can cause oil leakage to cause marine pollution, and the overturning of the ship is a great loss of life and property safety of people; for civil enterprises such as oil depots, nuclear power stations and the like, the enterprises are often close to cities, once a tank body is damaged, secondary accidents are easy to happen, serious losses can be caused to lives and properties of people, the urban ecological environment is damaged, and the consequences are unreasonable.
The mechanism of occurrence of sloshing of the liquid storage tank is mastered, reasonable liquid tank design is pertinently carried out, the structure of the liquid storage container is optimized, sloshing amplitude and impact pressure of the liquid tank are reduced, and the probability of occurrence of accidents is a current research hotspot and key point. The design of the damping structure in the tank is a convenient and fast way, and the structure is the simplest with the damping partition plate, however, the sloshing reducing effect caused by the type of the baffle plate and the relative position of the baffle plate in the container has great difference. The sloshing reducing mechanism of different types of partition plates becomes the key for reasonably designing the liquid tank. To the cylinder liquid reserve tank, current research and design achievement are mostly limited to single or many ring shape horizontal entity baffles (fix on container limit wall), but have not seen the report yet to the vertical baffle research coaxial with the cylinder liquid reserve tank, cause the container to be cut apart into a plurality of independent water tanks easily if setting up this type of baffle, can not play on the contrary and reduce and shake the effect. The good wave-dissipating performance of the perforated plate breakwater in the field of coastal engineering is combined, the perforated grating can effectively inhibit the fluid from greatly climbing on the side wall of the liquid tank when being transplanted into the cylindrical liquid tank, and the shaking energy inside the liquid tank is dissipated by virtue of the pores, and meanwhile, the huge impact force on the tank body can be greatly reduced.
Disclosure of Invention
The invention provides a liquid storage tank with a double-layer cylindrical grating and a stress calculation method thereof, and particularly relates to a liquid storage tank which can achieve the effect of suppressing sloshing liquid by means of good energy dissipation performance of the double-layer cylindrical grating, namely, by means of the sloshing energy in a liquid storage tank dissipated by pores.
By referring to the perforated plate breakwater in ocean engineering, the liquid storage tank with the double-layer cylindrical grid is provided for the first time. The energy dissipation and shaking reduction effects can be effectively achieved by adjusting the pore coefficient of the perforated grid, the construction cost is reduced, good economic benefits can be generated, and the perforated grid is easy to design and convenient to use; meanwhile, numerical calculation results show that the double-layer perforated grating has better shaking reducing effect than a single-layer perforated grating.
In order to achieve the purpose, the technical scheme of the invention is as follows:
a liquid storage tank with a double-layer cylindrical grid comprises a tank wall 1, a tank top 2, a first grid 3, a second grid 4, a liquid injection port 5 and a tank bottom 7. The tank wall 1, the first grating 3 and the second grating 4 are all cylindrical and are concentric in any cross section, wherein the first grating 3 is an inner layer grating, and the second grating 4 is an outer layer grating. The first grid 3 and the second grid 4 are both of open pore structures, the pore influence coefficients can be the same or different, and the pore influence coefficients of the first grid 3 and the second grid 4 are uniform. The first grating 3 and the second grating 4 are connected with the irrigation top 2 and the tank bottom 7 through welding; the liquid injection port 5 is arranged at the lower part of the tank wall 1 and is used for injecting liquid 6 into the liquid storage tank, and the liquid 6 is oil, water and the like.
The liquid storage tank with the double-layer cylindrical grating dissipates sloshing energy in the liquid tank through the holes to achieve the effect of reducing sloshing, and the calculation method of the stress (sloshing force) of the liquid storage tank comprises the following steps:
setting the radius of a tank body of the liquid storage tank as b, the radius of a grating as a, and the influence coefficient of pores of the grating as G1; the radius of the second grid is c, the influence coefficient of the pores is G2, and liquid with the depth of H is filled in the liquid storage tank. The bottom end of the liquid storage tank is fixed and bears X ═ Ae in the X direction-iωtWherein a is the amplitude of the sloshing displacement, ω is the frequency of the sloshing, and t is the time. In the calculation process, the following parameters are also used: liquid density ρ, gravitational acceleration g.
The method comprises the following steps of firstly, dividing the whole flow field into three calculation subdomains, wherein the first calculation subdomain is a cylindrical domain omega formed by a first gridⅠThe second subfield is the circular cylindrical region omega between the first grid and the second gridⅡThe third subdomain is a circular column domain omega between the second grid and the tank body of the liquid storage tankⅢ。
Secondly, on the basis of the linear potential flow theory, the fluid in each sub-domain is expressed by a velocity potential function phi (x, y, z, t):
Φ(x,y,z,t)＝φ(x,y,z)e-iωt
in the above equation, φ (x, y, z) satisfies the three-dimensional Laplace equation and can be expressed as:
wherein, the first term in the right term of the above formula represents the contribution of the propagation mode to the total velocity potential; the second term represents the contribution of the non-propagating modes to the total velocity potential; wherein phi is0(x, y) and phim(x, y) satisfy Helmholtz equation and modified Helmholtz equation, k, respectively0 and km(m ═ 1,2, …, ∞) satisfies the dispersion equation, and x, y, z represent three-dimensional cartesian coordinates. At the same time, let ΩⅠ，ΩⅡ and ΩⅢThe velocity potential in (1) is respectively phiⅠ,φⅡ and φⅢTo show, the coupling boundary condition should be satisfied between each subdomain: on the tank body of the liquid storage tank, phi is satisfiedⅢ,nI ω Acos θ; should satisfy phi at one place of the gridⅠ,n＝-φⅡ,n＝iωG1·(φⅠ-φⅡ) + i ω Acos θ; phi is satisfied at the second place of the gridⅡ,n＝-φⅢ,n＝iωG2·(φⅡ-φⅢ) + i ω Acos θ, where i is an imaginary unit, φⅠ,n，φⅡ,n and φⅢ,nThe normal derivative of the velocity potential.
Thirdly, applying a proportional boundary finite element method to obtain a relation phi0(x, y) and phim(x, y) as shown in the following equation:
wherein ,about phi0(x, y) and phimNode value of (x, y), E0,E2Is a coefficient matrix, ζ ═ k0b ξ is the radial coordinate in the proportional boundary finite element coordinate.
Fourthly, solving a proportional boundary finite element control equation to obtain phi0(x, y) and phim(x, y) nodeAnd obtaining the velocity potential function of each sub-domain, and obtaining the total field velocity potential according to the superposition principle.
Fifthly, after the total field velocity potential is solved, the liquid velocity, the wave surface height and the dynamic pressure are respectively determined by the following expressions:η＝iωφ/g，p＝-ρΦ,t(ii) a The total force applied to the liquid storage tank is calculated according to the following formula: wherein Is the force experienced per unit length of the structure.
Compared with the prior art, the invention has the following advantages: 1) the shake reducing effect is good; 2) the hole structure reduces the material consumption, and the weight is light and economical; 3) has little influence on the effective volume of the liquid storage tank.
Drawings
FIG. 1 is a schematic view of a reservoir tank;
FIG. 2 is a top view of the reservoir.
FIG. 3 is a front view of the reservoir.
Fig. 4 is a graph comparing the normalized wave force applied to the structure under different grating configurations when a is 0.3c, G is 0.6G1, G2 is 0.5.
Fig. 5 is a graph comparing the normalized wave force applied to the structure under different grating configurations when a is 0.4c, G is 0.7, G is 1, and G is 2, G is 0.5.
Fig. 6 is a graph comparing the normalized wave force applied to the structure under different grating configurations when a is 0.5c, G is 0.7G1, and G2 is 0.5.
Fig. 7 is a graph comparing the normalized wave force applied to the structure under different grating configurations when a is 0.6c, G is 0.7G1, G2 is 0.5.
Fig. 8 is a graph showing a comparison of the liquid level heights at points (b,0,0) in the case where a is 0.3c, G is 0.6G1, G2 is 0.5, and the grids are arranged differently.
Fig. 9 is a graph showing a comparison of the liquid level heights at points (b,0,0) in the case where a is 0.4c, G is 0.7G1, and G2 is 0.5, in the case where different gratings are provided.
Fig. 10 is a graph showing a comparison of the liquid level heights at points (b,0,0) in the case where a is 0.5c, G1, G2 is 0.5 and the grids are arranged differently.
Fig. 11 is a graph showing a comparison of the liquid level heights at points (b,0,0) in the case where a is 0.6c, G is 0.7G1, and G2 is 0.5, in the case where different gratings are provided.
In the figure: 1, a tank wall; 2, tank top; 3, a first grid; 4, a second grid; 5, a liquid injection port; 6, liquid; 7 the bottom of the pot.
Detailed Description
The application of the principles of the present invention will now be further described with reference to the accompanying drawings and simulation examples. It should be understood that the simulation examples described herein are merely illustrative of the present invention and are not intended to limit the present invention.
Referring to the accompanying drawings, 1-11, the invention discloses a liquid storage tank with a double-layer cylindrical grid. A liquid storage tank with a double-layer cylindrical grid comprises a tank wall 1, a tank top 2, a first grid 3, a second grid 4, a liquid injection port 5 and a tank bottom 7. The tank wall 1, the first grating 3 and the second grating 4 are all cylindrical, and the three are concentric at any cross section. The first grid 3 and the second grid 4 are both of an open pore structure. The first grating 3 and the second grating 4 are connected with the irrigation top 2 and the tank bottom 7 through welding; the pouring opening 5 is arranged at the lower part of the tank wall 1. The liquid storage tank is filled with liquid 6.
In the present invention, the correlation calculation follows the linear potential flow theory.
For an ideal fluid without spin or stick, the velocity potential function Φ (x, y, z, t) can be expressed as: Φ (x, y, z, t) ═ Φ (x, y, z) e-iωt(ii) a Depending on the relevant boundary conditions, φ (x, y, z) in the above equation can be expressed as:the first term in the right-hand term of the above equation represents the contribution of the propagating mode to the total velocity potential, and the second term represents the contribution of the non-propagating mode to the total velocity potential, where k0 and km(1,2, …, ∞) is to satisfy the dispersion equation.
By applying a proportional boundary finite element method, after the total field velocity potential is solved, the velocity, the wave surface height and the dynamic pressure can be respectively determined by the following expressions:η＝iωφ/g，p＝-ρΦ,t(ii) a The total force applied to the system can be calculated as follows:
in order to explain the hydrodynamic characteristics of the system, relevant examples are given for relevant expression; in the examples, b is 1 and H is 2. In the figure, k represents the wave number k0η denotes the liquid level height (based on z being 0), | FxI is normalized wave force, and the normalized coefficient is: ρ Agk0tanh(k0H)·πb2H。
Referring to fig. 4, when a is 0.3, c is 0.6, and G1 is G2 is 0.5, it can be found that the relationship of the total normalized wave force peak value applied to the structure when resonance is achieved under different grating settings is as follows: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer layer grating is arranged, is next to the inner layer grating and is smallest when the inner layer grating and the outer layer grating are arranged, the smaller the wave force peak value is, the better the shaking reducing effect is, and the structure is more stable.
Referring to fig. 5, when a is 0.4c, 0.7G1, G2, 0.5, it can be found that the relationship between the peak values of the total normalized wave force applied to the structure when the structure reaches resonance under different grating settings is as follows: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer layer grating is arranged, is next to the inner layer grating and is smallest when the inner layer grating and the outer layer grating are arranged, the smaller the wave force peak value is, the better the shaking reducing effect is, and the structure is more stable.
Referring to fig. 6, when a is 0.5c, 0.7G1, G2 is 0.5, it can be found that the relationship between the peak values of the total normalized wave force applied to the structure when the structure reaches resonance under different grating settings is as follows: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer layer grating is arranged, is next to the inner layer grating and is smallest when the inner layer grating and the outer layer grating are arranged, the smaller the wave force peak value is, the better the shaking reducing effect is, and the structure is more stable.
Referring to fig. 7, when a is 0.6c, 0.7G1, G2, and 0.5, it can be found that the relationship between the peak values of the total normalized wave forces applied to the structure when the structure reaches resonance is as follows: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer layer grating is arranged, is next to the inner layer grating and is smallest when the inner layer grating and the outer layer grating are arranged, the smaller the wave force peak value is, the better the shaking reducing effect is, and the structure is more stable.
Referring to fig. 8, when a is 0.3, c is 0.6, and G1 is G2 is 0.5, it can be found that the relationship between the peak heights of the liquid levels at the resonance point (b,0,0) is as follows: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the inner layer grating is arranged, is next to the outer layer grating and is smallest when the inner layer grating and the outer layer grating are arranged, the smaller the liquid level peak value is, the better the shaking reducing effect is, and the more stable structure is.
Referring to fig. 9, when a is 0.4c, G1, G2, and G355, it can be found that the relationship between the height peaks of the liquid level at the resonance point (b,0,0) is: only the inner layer or only the outer layer of the grid is large, the minimum is realized when the inner layer and the outer layer of the grid exist, the smaller the peak value of the liquid level is, the better the shaking reducing effect of the liquid storage tank with the double-layer cylindrical grid is, and the structure is more stable.
Referring to fig. 10, when a is 0.5c, G is 0.7G1, G2 is 0.5, it can be found that the relationship between the height peaks of the liquid level at the resonance point (b,0,0) is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer layer grating is arranged, is next to the inner layer grating and is smallest when the inner layer grating and the outer layer grating are arranged, the smaller the liquid level peak value is, the better the shaking reducing effect is, and the more stable structure is.
Referring to fig. 11, when a is 0.3, c is 0.6, and G1 is G2 is 0.5, it can be found that the relationship between the peak heights of the liquid levels at the resonance point (b,0,0) is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer layer grating is arranged, is next to the inner layer grating and is smallest when the inner layer grating and the outer layer grating are arranged, the smaller the liquid level peak value is, the better the shaking reducing effect is, and the more stable structure is.
Claims (2)
1. A liquid storage tank with a double-layer cylindrical grid is characterized by comprising a tank wall (1), a tank top (2), a first grid (3), a second grid (4), a liquid injection port (5) and a tank bottom (7); the tank wall (1), the first grating (3) and the second grating (4) are all cylindrical and are concentric in any cross section, wherein the first grating (3) is an inner layer grating, and the second grating (4) is an outer layer grating; the first grid (3) and the second grid (4) are both of open pore structures, and the pore influence coefficients are uniform; the first grating (3) and the second grating (4) are connected with the irrigation top (2) and the tank bottom (7) through welding; the liquid injection port (5) is arranged at the lower part of the tank wall (1) and is used for injecting liquid (6) into the liquid storage tank.
2. The method of calculating the force applied to a fluid reservoir tank having a double-layer cylindrical grill as set forth in claim 1, wherein the steps of:
setting the radius of a tank body of the liquid storage tank as b, the radius of a grating as a, and the influence coefficient of pores of the grating as G1; the radius of the second grid is c, the influence coefficient of the pores is G2, and liquid with the depth of H is filled in the liquid storage tank; the bottom end of the liquid storage tank is fixed and bears X ═ Ae in the X direction-iωtWherein a is a sloshing displacement amplitude, ω is a sloshing frequency, and t is time; liquid density ρ, gravitational acceleration g;
the method comprises the following steps of firstly, dividing the whole flow field into three calculation subdomains, wherein the first calculation subdomain is a cylindrical domain omega formed by a first gridⅠThe second subfield is the circular cylindrical region omega between the first grid and the second gridⅡThe third subdomain is a circular column domain omega between the second grid and the tank body of the liquid storage tankⅢ；
Second, the fluid in each sub-domain is represented by a velocity potential function Φ (x, y, z, t):
Φ(x,y,z,t)＝φ(x,y,z)e-iωt
in the above equation, [ phi ] (x, y, z) satisfies the three-dimensional Laplace equation and is expressed as:
wherein, the first term in the right term of the above formula represents the contribution of the propagation mode to the total velocity potential; the second term represents the contribution of the non-propagating modes to the total velocity potential; wherein phi is0(x, y) and phim(x, y) satisfy Helmholtz equation and modified Helmholtz equation, k, respectively0 and km(m ═ 1,2, …, infinity) satisfies the dispersion equation, x, y, z represent three-dimensional cartesian coordinates;
at the same time, let ΩⅠ，ΩⅡ and ΩⅢThe velocity potential in (1) is respectively phiⅠ,φⅡ and φⅢIndicating that the coupling boundary condition satisfied between each sub-domain is: on the tank body of the liquid storage tank, satisfy phiⅢ,nI ω Acos θ; satisfies phi at one place of the gridⅠ,n＝-φⅡ,n＝iωG1·(φⅠ-φⅡ) + i ω Acos θ; satisfies phi at the second place of the gridⅡ,n＝-φⅢ,n＝iωG2·(φⅡ-φⅢ) + i ω Acos θ, where i is an imaginary unit, φⅠ,n，φⅡ,n and φⅢ,nIs the normal derivative of the velocity potential;
thirdly, obtaining phi by applying a proportional boundary finite element method0(x, y) and phim(x, y) as shown in the following equation:
wherein ,about phi0(x, y) and phimNode value of (x, y), E0,E2Is a coefficient matrix, ζ ═ k0b ξ is a radial coordinate in the proportional boundary finite element coordinate;
fourthly, solving a proportional boundary finite element control equation to obtain phi0(x, y) and phim(x, y) and obtaining a velocity potential function of each sub-field according to the node values of (x, y), and obtaining a total field velocity potential according to a superposition principle;
fifthly, after the total field velocity potential is solved, the liquid velocity, the wave surface height and the dynamic pressure are respectively determined by the following expressions:η＝iωφ/g，p＝-ρΦ,t(ii) a The total force applied to the liquid storage tank is calculated according to the following formula: wherein Is the force experienced per unit length of the structure.
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| CN109956142A (en) * | 2019-04-09 | 2019-07-02 | 大连理工大学 | A kind of liquid reserve tank and its numerical computation method of band filling cylinder energy-dissipating structure |
| CN109972587A (en) * | 2019-04-09 | 2019-07-05 | 大连理工大学 | A kind of anti-wave structure of annulus cylindricality and its numerical computation method |
| CN110080088A (en) * | 2019-05-16 | 2019-08-02 | 华南理工大学 | A kind of grid template tuning water tank damper |
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