CN113008508A - Wind tunnel device for prolonging running time of hypersonic velocity temporary impulse type wind tunnel - Google Patents
Wind tunnel device for prolonging running time of hypersonic velocity temporary impulse type wind tunnel Download PDFInfo
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- CN113008508A CN113008508A CN202110479987.XA CN202110479987A CN113008508A CN 113008508 A CN113008508 A CN 113008508A CN 202110479987 A CN202110479987 A CN 202110479987A CN 113008508 A CN113008508 A CN 113008508A
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Abstract
The invention belongs to the field of hypersonic velocity temporary impulse type wind tunnel pneumatic design, and particularly relates to a wind tunnel device for prolonging the running time of a hypersonic velocity temporary impulse type wind tunnel, which comprises the following components: the gas storage tank is coaxially connected with the gas storage section and the spray pipe; the tail part of the gas storage section extends into the gas storage tank and is communicated with the gas storage tank in a sealing way; a guide cone cylinder and a guide cone which are coaxial with the gas storage section are arranged in the gas storage tank; the front end of the guide cone cylinder extends into the tail end of the gas storage section; the flow guide cone is fixedly arranged on one side of the gas storage tank, which is coaxial and opposite to the tail end of the gas storage section; the expansion wave sequentially passes through the gas storage section and the guide cone cylinder and reaches the guide cone, and the guide cone separates and reflects the expansion wave to two sides of the gas storage tank; a gap is formed between the tail end of the guide cone cylinder and the inner wall of the gas storage tank, and the outer wall of the guide cone cylinder and the inner wall of the gas storage tank enclose a relatively closed expansion wave dissipation cavity; the separated expansion wave passes through the gap and reaches the expansion wave dissipation cavity to be gradually dissipated. The method can effectively prolong the effective running time of the hypersonic velocity temporary-impulse wind tunnel, and has high efficiency and performance-to-cost ratio.
Description
Technical Field
The invention belongs to the field of hypersonic velocity temporary impulse type wind tunnel pneumatic design, and particularly relates to a wind tunnel device for prolonging the running time of a hypersonic velocity temporary impulse type wind tunnel.
Background
The hypersonic wind tunnel is the most important, basic and extensive experimental tool for the research in the field of aerospace, and the development of the hypersonic wind tunnel is closely related to the development of hypersonic aircrafts, medium and long distance missiles, spacecrafts and the like. The hypersonic velocity temporary-impulse wind tunnel has the advantages of high simulated Reynolds number, relatively lower construction cost and construction difficulty, and is more easy to simulate high-temperature conditions and widely applied to the field of experimental research of supersonic velocity and hypersonic velocity.
The hypersonic velocity temporary impact wind tunnel is characterized by that it stores high-pressure gas in the gas storage section of upstream of jet pipe inlet of wind tunnel, and uses vacuum pump to pump vacuum tank of downstream of test section of wind tunnel into vacuum state, and when the test is implemented, the valve can be quickly opened, and the blowing impact or suction action or combination of them can be used to form large pressure difference to produce hypersonic velocity gas flow. And when the hypersonic airflow state in the test section is reflected by a wave system in the wind tunnel pipe or the experimental air pressure difference is insufficient, the experiment is finished. For a conventional hypersonic velocity temporary-impulse wind tunnel, when the wind tunnel is started, the jet pipe inlet is used as a starting point to generate an expansion wave propagating upstream and a shock wave traveling downstream along the gas storage section, when the expansion wave reaches the top end of the gas storage section, solid-wall reflection can occur, the reflected expansion wave propagates along the gas storage section toward the jet pipe inlet, when the reflected expansion wave reaches the jet pipe inlet, the pressure of the jet pipe inlet changes, the operation condition of the wind tunnel is further changed, and therefore an effective experiment period is completed. The effective running time of the hypersonic velocity temporary-impulse wind tunnel is closely related to the length of the air storage segment. At present, the effective running time of most of built hypersonic velocity temporary impulse wind tunnels at home and abroad is generally in the order of hundred milliseconds, so that the research range of wind tunnel experiments is influenced to a certain extent, and especially the influence is more obvious when the aerodynamic heat problem is researched. In order to prolong the running time of the hypersonic velocity temporary-impulse wind tunnel and simulate a more real environment, the problem can be solved by directly increasing the length of the gas storage segment, but the method has limited time prolonging effect, can obviously increase the occupied space of an experiment platform and the construction and maintenance cost, and has low cost performance.
Disclosure of Invention
The invention provides a wind tunnel device for prolonging the running time of a hypersonic velocity temporary-impulse wind tunnel, which is used for solving the technical problem that the running time of the hypersonic velocity temporary-impulse wind tunnel depends heavily on the length of a gas storage segment.
The technical scheme for solving the technical problems is as follows: a wind tunnel device for extending the operating time of a hypersonic transient impulse wind tunnel, comprising: the gas storage tank is coaxially connected with the gas storage section and the spray pipe; the tail part of the gas storage section extends into the gas storage tank so as to be communicated with the gas storage tank in a sealing way;
a guide cone cylinder and a guide cone which are coaxial with the gas storage section are arranged in the gas storage tank; the front end of the guide cone cylinder extends into the tail end of the gas storage section and is fixed; the flow guide cone is fixedly arranged on one side of the gas storage tank, which is coaxially opposite to the tail end of the gas storage section; the expansion wave generated by the spray pipe sequentially passes through the gas storage section and the guide cone cylinder and reaches the guide cone, and the guide cone separates and reflects the expansion wave to two sides of the gas storage tank;
a gap is formed between the tail end of the guide cone cylinder and the inner wall of the gas storage tank, and the outer wall of the guide cone cylinder and the inner wall of the gas storage tank enclose a relatively closed expansion wave dissipation cavity; the distance between the cone top of the guide cone and the tail end of the guide cone cylinder meets the following requirements: the separated expansion wave passes through the gap and reaches the expansion wave dissipation cavity; the expansion wave dissipates energy gradually within the cavity.
The invention has the beneficial effects that: the invention is equivalent to providing a method for prolonging the running time of a hypersonic velocity temporary impulse wind tunnel, starting from the temporary impulse wind tunnel principle, an air storage tank is added on the basis of the conventional hypersonic velocity temporary impulse wind tunnel, a guide cone cylinder and a guide cone are arranged in the air storage tank, so that an expansion wave dissipation cavity is constructed in the air storage tank, and the time for the expansion wave to reach an inlet of a wind tunnel spray pipe is weakened, even eliminated or delayed by changing the reflection and propagation process of the expansion wave in the hypersonic velocity temporary impulse wind tunnel, so that the beneficial effect of prolonging the effective running time of the hypersonic velocity temporary impulse wind tunnel is achieved. Compared with a method for simply increasing the length of the air storage segment to prolong the operation time of the wind tunnel, the method has the advantages of lower modification cost and modification difficulty, higher efficiency and cost performance, and capability of further expanding the research range of the conventional hypersonic velocity temporary impact wind tunnel. The method has innovative significance in the construction and design of the temporary impulse type wind tunnel.
On the basis of the technical scheme, the invention can be further improved as follows.
Further, the gas storage tank is cylindrical.
The invention has the further beneficial effects that: the air storage tank is a pressure-bearing container, and the cylindrical shape has better pressure-resisting capacity.
Further, the diameter of the gas storage tank is 50-200 times of that of the gas storage section; the height of the gas storage tank is at least 10 times of the diameter of the gas storage section.
The invention has the further beneficial effects that: selecting a large enough diameter according to wind tunnel parameters (Reynolds number, Mach number, temperature and the like), and ensuring that the gas storage tank has enough length in the horizontal axis direction, so that the expansion wave has enough reflection space after being separated by the guide cone, thereby achieving the purpose of weakening the expansion wave or prolonging the reflection time of the expansion wave; meanwhile, the air storage tank has proper height H according to wind tunnel parameters so as to form an enough expansion wave dissipation space with the guide cone cylinder, improve the efficiency of weakening expansion waves and prolong the running time of the temporary-impulse wind tunnel. The height and the diameter of the air storage tank which are optimized by the scheme can prolong the running time of the hypersonic temporary impact wind tunnel to 100-200 ms.
Further, the length of the guide cone is 2/3 of the diameter of the air storage tank, so that the expansion wave dissipation cavity is relatively closed.
Furthermore, the front end of the guide cone cylinder is wedge-shaped.
The invention has the further beneficial effects that: the wedge-shaped structure is kept at the front end of the guide cone, so that the interaction between the expansion wave and the fixed wall is weakened, and the influence on the quality of a test flow field caused by the fact that the additional reflected expansion wave is reversely transmitted to the inlet of the wind tunnel spray pipe is avoided.
Furthermore, the guide cone cylinder is installed in sections in the axial direction of the gas storage section.
The invention has the further beneficial effects that: the guide cone cylinder can be installed in a segmented mode in the axial direction of the gas storage section so as to improve the flexibility of machining and assembling.
Further, the guide cone cylinder is segmented into a front guide cone cylinder and a rear guide cone cylinder with equal length;
the front end of the front guide cone cylinder extends into the tail end of the gas storage section and is fixed; the front end of the rear guide cone cylinder extends into the tail end of the front guide cone cylinder.
The invention has the further beneficial effects that: the length of each segment is selected to be as large as possible and equal as possible according to the processing conditions and the assembly conditions, so that the number of the segments is reduced, the segments are installed at equal intervals, and the assembly structure is simplified.
Further, the structural opening angle theta of the front guide cone cylinder is 20-60 degrees.
The invention has the further beneficial effects that: the area after the expansion wave is transmitted can induce the gas to flow, and the flow separation can be avoided while the propagation direction of the expansion wave is guided within the opening angle range of the guide cone cylinder structure, so that the control of the propagation process of the expansion wave is facilitated.
Further, the cone angle of the guide cone is equal to the flare angle of the guide cone cylinder.
The invention has the further beneficial effects that: the optimal matching of the horizontal reflection and the side reflection of the expansion wave is obtained, so that the expansion wave smoothly enters the expansion wave dissipation cavity after being reflected on the surface of the wall surface, and the effect of prolonging the running time of the wind tunnel is achieved.
Drawings
Fig. 1 is a schematic general top view of a wind tunnel device for extending the operating time of a hypersonic velocity transient wind tunnel according to an embodiment of the present invention;
fig. 2 is a schematic front view of an air storage tank according to an embodiment of the present invention;
the same reference numbers will be used throughout the drawings to refer to the same or like elements or structures, wherein:
1 is the gas holder, 2 is the gas storage section, 3 is the control valve section, 4 is the spray tube, 5 is experimental section, 6 is the vacuum tank, 7 is the air inlet, 8 is the water conservancy diversion awl, 9 is the drain, 10 is back water conservancy diversion awl section of thick bamboo, 11 is the preceding water conservancy diversion awl section of thick bamboo, 12 is the expansion wave dissipation cavity.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
Example one
A wind tunnel device for extending the operating time of a hypersonic transient impulse wind tunnel, comprising: the device comprises an air storage tank, an air storage section, a control valve, a spray pipe, a test section and a vacuum tank which are coaxially connected in sequence; the tail part of the gas storage section extends into the gas storage tank to be communicated with the gas storage tank in a sealing way. A guide cone cylinder and a guide cone which are coaxial with the gas storage section are arranged in the gas storage tank; the front end of the guide cone cylinder extends into the tail end of the gas storage section and is fixed; the flow guide cone is fixedly arranged on one side of the gas storage tank, which is coaxially opposite to the tail end of the gas storage section; the expansion wave generated by the spray pipe passes through the gas storage section and the guide cone cylinder in sequence and reaches the guide cone, and the guide cone separates and reflects the expansion wave to the two sides of the gas storage tank. A gap is formed between the tail end of the guide cone cylinder and the inner wall of the gas storage tank, and the outer wall of the guide cone cylinder and the inner wall of the gas storage tank enclose a relatively closed expansion wave dissipation cavity; the distance between the cone top of the guide cone and the tail end of the guide cone cylinder meets the following requirements: the separated expansion wave passes through the gap and reaches the expansion wave dissipation cavity; the expansion wave is reflected multiple times within the cavity and energy is gradually dissipated during the reflection.
It should be noted that the gas storage tank and the gas storage section can be connected by a flange, and the gas storage section and the flange are coaxially arranged.
The wind tunnel device is conventionally provided with an air inlet and a drain outlet, wherein in the embodiment, the drain outlet is used for accumulating cold liquid and is arranged at the bottom of the air storage tank; the air inlet is used for filling high-pressure air, and the position of the air inlet is adjusted according to actual conditions.
The gas storage section can be composed of a plurality of sections of high-temperature-resistant metal pipelines and is coaxially connected by flanges.
The length of the air storage segment is determined according to the mass flow rate and the heating length required by the operation of the wind tunnel and the actual field condition. In order to prolong the operation time of the wind tunnel and obtain a better heating effect, the air storage section needs to keep a certain length, but compared with the traditional hypersonic velocity temporary impact wind tunnel, the length of the air storage section has a reduced limitation on the operation time, and the requirement on the length is obviously reduced.
Referring to fig. 1, fig. 1 is a general schematic diagram illustrating a method for extending a transient impulse wind tunnel operating time according to an embodiment of the present invention, and the method includes an air storage tank 1, an air storage section 2, a control valve section 3, a nozzle 4, a test section 5, and a vacuum tank 6. The air storage tank 1 is connected with a high-pressure air compressor and stores high-pressure air, and is sequentially connected with the air storage section 2, the control valve section 3, the spray pipe 4, the test section 5 and the vacuum tank 6 in a coaxial sealing manner according to the requirements of a common hypersonic temporary impact wind tunnel. The air storage tank 1 provided by the embodiment for the first time is internally provided with internal assembly structures such as a guide cone cylinder and the like so as to change the reflection process of the expansion wave during the operation of the wind tunnel.
As shown in fig. 2, fig. 2 shows a schematic view of a gas storage tank 1 according to an embodiment of the present invention, which includes a gas inlet 7, a diversion cone 8, a sewage outlet 9, a rear diversion cone cylinder 10, and a front diversion cone cylinder 11. Wherein, the position of the air inlet 7 can be adjusted according to the actual situation, and the sewage outlet 9 is arranged at the bottom of the air storage tank 1.
When the hypersonic velocity transient-impulse wind tunnel runs, a control valve in the control valve section 3 is opened, and an expansion wave propagating upstream at the sonic velocity and a shock wave propagating downstream are generated at the inlet of the spray pipe 4 at the same time. The expansion wave propagating upstream will cause the pressure in the region being traversed to drop and the pressure differential with the downstream vacuum tank 6 constitutes the driving force for the flow of hypersonic air within the nozzle 4. When the expansion wave propagating upstream contacts the left end of the gas storage section 2, tail end reflection of the gas storage section occurs, and the expansion wave continues to propagate upstream into the gas storage tank 1. The gas is guided by the front guide cone cylinder 11 and the rear guide cone cylinder 10 in the gas storage tank 1 and then is spread to the upstream in the limited space in the gas storage tank 1. When the expansion wave is transmitted to touch the diversion cone 8, the expansion wave is transmitted to the periphery of the air storage tank 1 under the diversion action of the diversion cone 8 and is gradually reflected into the expansion wave dissipation cavity 12 under the action of the upper end surface and the lower end surface of the air storage tank 1. Because the expansion wave dissipation cavity 12 is similar to a closed space, the expansion wave is reflected for multiple times between the inner wall of the gas storage tank and the outer wall of the flow guide cone cylinder in the expansion wave dissipation cavity 12 and the energy is gradually dissipated in the reflection process, so that the time of the expansion wave reflected into the gas storage section 2 is weakened and delayed, and the purpose of prolonging the effective running time of the hypersonic temporary impact wind tunnel is achieved.
Therefore, the embodiment equivalently provides a method for prolonging the running time of the hypersonic velocity temporary-impulse wind tunnel, starting from the temporary-impulse wind tunnel principle, the air storage tank 1 is added on the basis of the conventional hypersonic velocity temporary-impulse wind tunnel, the guide cone cylinder and the guide cone 8 are arranged in the air storage tank 1, so that an expansion wave dissipation cavity is constructed in the air storage tank, and the time for the expansion wave to reach the inlet of the wind tunnel nozzle is reduced or even eliminated or delayed by changing the reflection and propagation process of the expansion wave in the hypersonic velocity temporary-impulse wind tunnel, so that the beneficial effect of prolonging the effective running time of the hypersonic velocity temporary-impulse wind tunnel is achieved. Compared with a method for simply increasing the length of the air storage segment to prolong the operation time of the wind tunnel, the method has the advantages of lower modification cost and modification difficulty, higher efficiency and cost performance, and capability of further expanding the research range of the conventional hypersonic velocity temporary impact wind tunnel. The method has innovative significance in the construction and design of the temporary impulse type wind tunnel.
Preferably, the gas container is cylindrical. The diameter D and the height H of the expansion wave expansion cavity are properly selected so as to obtain enough expansion wave propagation time and expansion wave dissipation cavity volume and improve expansion wave control efficiency.
The diameter is selected to be large enough according to wind tunnel parameters (Reynolds number, Mach number, temperature and the like), and the air storage tank is ensured to have enough length in the horizontal axis direction, so that the expansion wave has enough reflection space after being separated by the guide cone, and the purpose of weakening the expansion wave or prolonging the reflection time of the expansion wave is achieved. Through numerical simulation, preferably, the diameter D of the gas storage tank is about 50-200 times of the diameter D of the gas storage section; meanwhile, the air storage tank has proper height H according to wind tunnel parameters so as to form enough expansion wave dissipation space with the guide cone, the expansion wave weakening efficiency is improved, the temporary impact type wind tunnel operation time is prolonged, and through numerical simulation, preferably, the height H of the air storage tank is at least 10 times of the diameter d of the air storage section. The height and the diameter of the air storage tank which are optimized in the embodiment can prolong the running time of the hypersonic temporary impact wind tunnel to 100 ms-200 ms.
Preferably, the front end of the guide cone cylinder is wedge-shaped, so that separation and cutting of expansion waves are facilitated.
Preferably, the guide cone cylinder is installed in a subsection mode in the axial direction of the gas storage section, and the guide cone cylinder is divided into a front guide cone cylinder 10 and a rear guide cone cylinder 11 which are equal in length; the front end of the front guide cone cylinder extends into the tail end of the gas storage section and is fixed; the front end of the rear guide cone cylinder extends into the tail end of the front guide cone cylinder.
The guide cone cylinder can be installed in a segmented mode in the axial direction of the gas storage section under the limitation of processing conditions and assembling conditions, each section of curved surface cone cylinder is provided with a front diameter and a rear diameter, and the length of each section is equal to the greatest extent by selecting the maximum value according to the processing conditions and the assembling conditions, so that the segmented and equidistant installation is reduced, and the assembling structure is simplified. Two sections of curved surface conical cylinders can be selected to form the guide conical cylinder, which is respectively called a front guide conical cylinder and a rear guide conical cylinder. The curved surface shape of each section of curved surface cone can be streamline, and the outer edge generatrix of each section of curved surface cone is nearly continuous and smooth, so that the reflected expansion waves are separated from the wall, and a better backflow effect is obtained. In addition, the front end of each section of curved surface cone cylinder is set to be wedge-shaped, which is beneficial to separating and cutting expansion waves.
As shown in fig. 2, the front diameter d1 of the front flow guiding cone is slightly smaller than the diameter d of the gas storage section and extends into the tail of the gas storage section, so as to realize the real-time separation of the expansion waves. Preferably, the front flow cone opening angle θ is about 20 ° to about 60 °. The front diameter D3 of the rear guide cone cylinder is slightly smaller than the rear diameter D2 of the front guide cone cylinder, and preferably, the total length of the guide cone cylinder is close to 2/3 of the diameter D of the air storage tank, so that the expansion wave dissipation cavity is relatively closed, and premature interference between the expansion wave dissipation cavity and the expansion wave reflection space is avoided. Since the size relationship between d1 and d and the size relationship between d3 and d2 are determined, the size of d4 is determined after the size of d, the size of theta and the total length of the guide cone are determined.
The guide cone is fixed at the position which is intersected with the axis of the tail end of the guide cone cylinder and the wall surface of the gas storage tank. Preferably, the cone angle of the guide cone is equal to the flare angle of the guide cone cylinder to obtain a better expansion wave guide effect, and particularly, the cone angle of the guide cone is equal to the flare angle of the guide cone cylinder, and the distance from the outlet of the rear guide cone cylinder 10 is properly controlled, so that separated expansion wave can be reflected into the expansion wave dissipation cavity 12 to avoid premature propagation into the gas storage tank 2. The flow guiding cone generatrix can be streamline to separate the reflection expansion wave from the wall, so as to realize better separation and reflection states.
The materials used by the guide cone and the guide cone cylinder have higher structural strength, and are assembled and fastened to bear the impact action of high-speed expansion waves; meanwhile, the material has good processing performance, is convenient for processing a streamline curved surface, and preferably can be made of stainless steel.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (9)
1. A wind tunnel device for prolonging the running time of a hypersonic velocity temporary impulse type wind tunnel is characterized by comprising: the gas storage tank is coaxially connected with the gas storage section and the spray pipe; the tail part of the gas storage section extends into the gas storage tank so as to be communicated with the gas storage tank in a sealing way;
a guide cone cylinder and a guide cone which are coaxial with the gas storage section are arranged in the gas storage tank; the front end of the guide cone cylinder extends into the tail end of the gas storage section and is fixed; the flow guide cone is fixedly arranged on one side of the gas storage tank, which is coaxially opposite to the tail end of the gas storage section; the expansion wave generated by the spray pipe sequentially passes through the gas storage section and the guide cone cylinder and reaches the guide cone, and the guide cone separates and reflects the expansion wave to two sides of the gas storage tank;
a gap is formed between the tail end of the guide cone cylinder and the inner wall of the gas storage tank, and the outer wall of the guide cone cylinder and the inner wall of the gas storage tank enclose a relatively closed expansion wave dissipation cavity; the distance between the cone top of the guide cone and the tail end of the guide cone cylinder meets the following requirements: the separated expansion wave passes through the gap and reaches the expansion wave dissipation cavity; the expansion wave dissipates energy gradually within the cavity.
2. The wind tunnel device according to claim 1, wherein said air reservoir is cylindrical.
3. The wind tunnel device for prolonging the running time of the hypersonic velocity temporary impulse wind tunnel according to claim 2, wherein the diameter of the gas storage tank is 50-200 times of that of the gas storage section; the height of the gas storage tank is at least 10 times of the diameter of the gas storage section.
4. The wind tunnel device for prolonging the operating time of a hypersonic transient impulse wind tunnel according to claim 2, wherein the length of said guide cone is 2/3 times the diameter of said air storage tank, so that said expansion wave dissipation cavity is relatively closed.
5. The wind tunnel device for prolonging the running time of the hypersonic transient impulse wind tunnel according to claim 1, wherein the front end of the guide cone cylinder is wedge-shaped.
6. A wind tunnel device according to any one of claims 1 to 5 for extending the operating time of a hypersonic transient impulse wind tunnel, wherein said guide cone is installed in segments in the axial direction of the air storage section.
7. The wind tunnel device for prolonging the running time of the hypersonic velocity temporary impulse wind tunnel according to claim 6, wherein the guide cone cylinder is segmented into a front guide cone cylinder and a rear guide cone cylinder which are equal in length;
the front end of the front guide cone cylinder extends into the tail end of the gas storage section and is fixed; the front end of the rear guide cone cylinder extends into the tail end of the front guide cone cylinder.
8. The wind tunnel device for prolonging the running time of a hypersonic transient impulse wind tunnel according to claim 7, wherein the structural opening angle theta of the front guide cone cylinder is 20-60 degrees.
9. The wind tunnel device according to claim 7, wherein said cone angle of said deflector cone is equal to said flare angle of said deflector cone.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115266013A (en) * | 2022-09-23 | 2022-11-01 | 中国空气动力研究与发展中心超高速空气动力研究所 | Lining cylinder for high-flow high-temperature high-pressure high-speed gas environment and mounting method |
| CN115266013B (en) * | 2022-09-23 | 2022-12-02 | 中国空气动力研究与发展中心超高速空气动力研究所 | Lining cylinder for high-flow high-temperature high-pressure high-speed gas environment and mounting method |
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| CN113008508B (en) | 2021-12-03 |
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