CN114444417A - Vortex flow form distinguishing method suitable for curve vortex shaft and storage medium - Google Patents
Vortex flow form distinguishing method suitable for curve vortex shaft and storage medium Download PDFInfo
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Abstract
The invention is suitable for the technical field of fluid mechanics, provides a vortex flow form distinguishing method suitable for a curved vortex shaft and a storage medium, establishes an orthogonal curve coordinate system taking the vortex shaft of a vortex as a coordinate axis, and firstly calculates the vortex shaft of the vortexCharacteristic value of directionλ(q 1 )When the characteristic value is larger than 0, on the section vertical to the vortex shaft direction, the vortex flow form is spiral inward; when the characteristic value is less than 0, the vortex flow shape is spiral outward on the section vertical to the vortex shaft direction. The invention provides a novel method for judging the flow form of vortex, which is based on a vortex shaft which is closer to a real curveAnd the flow characteristics of the vortex can be effectively judged through calculation.
Description
Technical Field
The invention relates to the technical field of fluid mechanics, in particular to a method for judging a vortex motion form suitable for a curved vortex shaft and a storage medium.
Background
Vortices are very common phenomena in nature, such as tornadoes in nature, vortexes formed in water flow, and the like, and are tendons in movement of fluid media. Swirling motion is also common and important in the fluid-mechanics-related industries, for example, a high-speed vehicle can form a vortex around it, and if a rear-driving, lighter-weight vehicle becomes caught in it, a runaway can occur; in an aircraft, for example, vortex flow formed by fluid motion is important for generating and stably controlling the lift force of the aircraft. The research on the characteristics of the vortex motion is carried out, and the method is very beneficial to the development of a control means of the vortex motion.
In the field of fluid mechanics industry, wind tunnel/water tunnel experiments or numerical simulation means are generally adopted to develop flow property and flow control research. In the optimization of many problems, vortex flow control is an important part of the optimization. Therefore, accurate analysis of the swirl flow characteristics is helpful for researching relevant phenomena, mechanisms and rules of swirl motion, and finally an effective flow control method is developed.
In the past research, the vortex scroll is always considered to be a straight line, but in the practical problem, the vortex scroll is curved, so that the research result of researching the vortex scroll as a straight line has larger errors, and a judgment method closer to the real state of the vortex is urgently needed to be developed, so that the flow characteristic of the vortex is judged, and the accuracy of the analysis of the motion characteristic of the vortex in the experiment and numerical simulation is improved.
Disclosure of Invention
The invention aims to provide a method for judging the flow form of a vortex, which is suitable for a curved vortex shaft and can accurately judge the flow form of the vortex.
Wherein,is a vortex shaft of vortex, and an orthogonal curve coordinate system is established based on the vortex shaft,、Andare respectively an edge、Andthe speed of the direction of the beam is,、andis the Lame coefficient, M1Is thatThe local Mach number on the vortex shaft, p is a pressure value, and rho is the density of the fluid medium;
s20, judging the vortex flow form based on the characteristic value of the vortex shaft direction:
when in useIn the direction of the vortex axisOn the vertical section, the vortex flow shape is spiral inward;
when in useIn the direction of the vortex axisOn the vertical section, the vortex flow pattern is spiral outward.
Further, the Lame coefficient is as follows:
Further, when the direction of the vortex axis isOrIn the direction, the direction of the vortex axis is calculated in the following wayOrCharacteristic value of directionp(q 2 )Orp(q 3 ):
Based onλ(q 2 )Orλ(q 3 )The vortex flow pattern is determined in step S20.
The present invention further includes a storage medium storing a computer program of the method for discriminating a vortex motion pattern of a curved vortex shaft as described above.
Compared with the prior art, the method for judging the vortex motion form of the curved vortex shaft has the following beneficial effects that:
the method for judging the vortex flow characteristics sets the vortex shaft of the vortex to be a curve, is closer to the real situation, and can effectively judge the flow characteristics of the vortex by calculating based on the real curve-shaped vortex shaft through simulation calculation, thereby providing a new method for experiments and numerical simulation calculation analysis.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the embodiments of the present invention or in the description of the prior art will be briefly described below, and it is obvious that the drawings described below are only some embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a flow chart of a method for determining a vortex motion pattern of a curved vortex shaft according to an embodiment of the present invention;
FIG. 2 is a schematic representation of an orthogonal curvilinear coordinate system of the vortex of the present invention;
FIG. 3 is a schematic view of a cavity calculation model according to an embodiment of the present invention;
FIG. 4 is a diagram illustrating the calculation results of an exemplary embodiment of the present invention;
FIG. 5 shows a cross-sectional spiral eddy current pattern at Y = -0.99D according to the present invention;
FIG. 6 shows a cross-sectional spiral eddy current pattern at Y = -0.9D according to the present invention;
fig. 7 shows a cross-sectional spiral vortex line pattern at Y = -0.8D according to the present invention.
Detailed Description
The following description provides many different embodiments, or examples, for implementing different features of the invention. The particular examples set forth below are illustrative only and are not intended to be limiting.
A method for judging the vortex motion mode of a curved vortex shaft is disclosed, as shown in figure 1, and comprises the following steps:
Wherein,is a vortex shaft of vortex, and an orthogonal curve coordinate system is established based on the vortex shaftAs shown in fig. 2, in this example,、andare respectively an edge、Andthe speed of the direction of the beam is,、andis the Lame coefficient, M1Is thatThe local Mach number on the vortex shaft, p is a pressure value, and rho is the density of the fluid medium;
the calculation method of the Lamei coefficient comprises the following steps:
S20, judging the vortex flow form based on the characteristic value of the vortex shaft direction:
when in useIn the direction of the vortex axisOn the vertical section, the vortex flow shape is spiral inward;
when in useIn the direction of the vortex axisOn the vertical section, the vortex flow pattern is spiral outward.
Above is q in an orthogonal curvilinear coordinate system1The axis is the vortex axis of the vortex for calculation and judgment, and those skilled in the art can understand that in the actual operation process, the vortex axis direction of the vortex can be always determined as q of the orthogonal curve coordinate system1The shaft is judged by adopting the method; of course, the same concept can be used to define the vortex axis of the vortex in q of the orthogonal curvilinear coordinate system2Axis or q3Shaft:
when the vortex axis direction of the vortex is q of an orthogonal curve coordinate system2When the shaft is driven,
when in useIn the direction q of the vortex axis2On a vertical cross-section, swirling flowThe dynamic state is spiral inward;
when in useIn the direction q of the vortex axis2On the vertical section, the vortex flow pattern is spiral outward.
When the vortex axis direction of the vortex is q of an orthogonal curve coordinate system3When the shaft is driven,
when in useIn the direction q with the vortex axis3On the vertical section, the vortex flow shape is spiral inward;
when in useIn the cross section perpendicular to the scroll direction q3, the spiral flow pattern is spiral outward.
Example of calculation
The invention applies the above discrimination method to the cavity flow simulation calculation, the calculation model is shown in fig. 3, the length L, width W and depth D of the cavity are respectively 200mm, 66.67mm and 33.33mm, the depth is set as D, the flow initial condition is as follows: the incoming flow Mach number is 0.9, and the Reynolds number is 5.68 multiplied by 105The gas temperature is 247K, the input condition for the inflow in fig. 3, and in this initial condition, as the flow progresses, the movement of the gas flow inside the cavity is driven.
Calculation results as shown in fig. 4, it can be seen that two vortices are generated at the bottom of the cavity rising from the bottom, and it can be seen that the vortex axes of the two vortices are curved.
Discriminant function disrotatory using the present applicationThe vortex state is analyzed. Taking the right vortex in FIG. 4 as an example, respectively、Andthree horizontal planes are taken, as shown in fig. 5, 6 and 7. The calculation data is substituted into the calculation formula of the application to calculate and findA is>0, according to the judgment rule, the vortex spirals inwards and is consistent with the result in the figure 5; in thatA is<0, according to the judgment rule, the vortex spirals outwards and is consistent with the result in the figure 6; in thatA is<0, according to the judgment rule, the vortex spirals outwards, which is consistent with the result in fig. 7. The results show that the method can effectively judge the motion state of the vortex with the vortex shaft being a curve.
The present invention further provides a storage medium storing a computer program of the method for discriminating a vortex motion pattern of a curved vortex shaft, including but not limited to a floppy disk, an optical disk, a DVD, a hard disk, a flash Memory, a U disk, a CF card, an SD card, an MMC card, an SM card, a Memory Stick (Memory Stick), an XD card, etc.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.
Claims (4)
1. A method for judging the vortex motion form of curved vortex shaft is characterized by that,
Wherein,is a vortex shaft of vortex, and an orthogonal curve coordinate system is established based on the vortex shaft,、Andare respectively an edge、Andthe speed of the direction of the beam is,、andis the Lame coefficient, M1Is thatThe local Mach number on the vortex shaft, p is a pressure value, and rho is the density of the fluid medium;
s20, judging the vortex flow form based on the characteristic value of the vortex shaft direction:
when in useIn the direction of the vortex axisOn the vertical section, the vortex flow shape is spiral inward;
3. The method according to claim 1 or 2, wherein the vortex flow pattern is determined when the vortex axis direction is set to be a direction of a curved vortex axisOrIn the direction, the direction of the vortex axis is calculated in the following wayOrCharacteristic value of directionλ(q 2 )Orλ(q 3 ):
based onλ(q 2 )Orλ(q 3 )Judging rotation using step S20Vortex flow pattern.
4. A storage medium storing a computer program for a method of discriminating a vortex motion pattern applied to a curved vortex shaft according to any one of claims 1 to 3.
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Citations (3)
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CN102012309A (en) * | 2010-07-01 | 2011-04-13 | 北京航空航天大学 | Vortex break point position judging method based on two-dimensional velocity field |
DE102011112121A1 (en) * | 2011-09-02 | 2013-03-07 | Deutsches Zentrum für Luft- und Raumfahrt e.V. | Method for determining fluid flow of data, involves calculating spatial course of swirl axis of vortex flow in dependence on vortex flow induced flow measurement data and measuring position of vortex-flow-induced flow measurement data |
CN109859311A (en) * | 2019-01-29 | 2019-06-07 | 河海大学 | A kind of cavitating flows method for numerical simulation theoretical based on the identification of the whirlpool Liutex-Omega |
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CN102012309A (en) * | 2010-07-01 | 2011-04-13 | 北京航空航天大学 | Vortex break point position judging method based on two-dimensional velocity field |
DE102011112121A1 (en) * | 2011-09-02 | 2013-03-07 | Deutsches Zentrum für Luft- und Raumfahrt e.V. | Method for determining fluid flow of data, involves calculating spatial course of swirl axis of vortex flow in dependence on vortex flow induced flow measurement data and measuring position of vortex-flow-induced flow measurement data |
CN109859311A (en) * | 2019-01-29 | 2019-06-07 | 河海大学 | A kind of cavitating flows method for numerical simulation theoretical based on the identification of the whirlpool Liutex-Omega |
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ARTEM ARTYUKHOV ET AL: "Optimization Calculation of Vortex Type Granulation Devices: Application of Software Products and Computer Modeling", 《CEUR-WS.ORG》 * |
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