On the crater of an ejection formed by an explosion of two flat surface cord charges
https://doi.org/10.22405/2226-8383-2023-24-1-294-303
Abstract
In the article the problem of a symmetric stationary cavitation flow around a wedge by an infinite flow of ideal incompressible weightless fluid in the presence of a given intensity point effluent located at the top of the wedge is considered.
To schematize the flow in the aft part of the cavity the Efros scheme with a return stream going to the second sheet of the Riemannian surface is used.
The exact solution of the problem is constructed by displaying the areas of change complex potential and complex flow velocity per area change of the auxiliary parametric variable.
A complete parametric analysis of the problem has been carried out.
For a wide range values of the cavitation number, dimensionless flow rate and angle wedge solution, the shape and dimensions of the cavitation cavity are found, and See also the values of the drag coefficient.
The shape and dimensions of the cavitation cavity and also the values of the resistance coefficient are found for a wide range of cavitation number values, dimensionless consumption of effluent and opening angle of the wedge.
About the Authors
Sergey Lvovich TolokonnikovRussian Federation
doctor of physical and mathematical sciences, professor
Anna Alekseevna Spasova
Russian Federation
postgraduate student
References
1. Elizarov, A. M., Ilyinsky, N. B., Potashev, A. V. 1994, “Inverse boundary value problems of
2. aerohydrodynamics: theory and methods for designing and optimizing of the shape of the wing
3. profiles ”, Nauka, Мoscow, 436 p.,[in Russian].
4. Ilyinsky, N. B., Abzalilov, D. F. 2011, “Mathematical problems of designing wing profiles:
5. complicated flow patterns; building and optimization of the shape of the wing profiles”, Kazan
6. University, Kazan, 284 p.,[in Russian].
7. Shurygin, V. M. 1977, “Aerodynamics of bodies with jets”, Mashinostroenie, Мoscow, 200 p.,[in
8. Russian].
9. Sedov, L. I. 1972, “On the flow around an ideal fluid of a body with counter jet”, Doklady AN
10. SSSR, vol. 206, no. 1, pp. 41-42, [in Russian].
11. Sedov, L. I. 1994, “Continuum mechanic”, vol. 2, Nauka, Мoscow, 560 p.,[in Russian].
12. Sotina, N. B., Fominykh, V. V. 1979, “Simulation by a source of a thin jet from a body”, Fluid
13. Dynamics, vol. 14, no. 5, pp. 673–679.
14. Mukhina, T. G. 1979, “Cavitation flow over a plate with a source”, Fluid Dynamics, vol. 14,
15. no. 5, pp. 764–767.
16. Sotina, N. B., Fominykh, V. V. 1979, “Symmetric cavitation flow past a wedge in the presence
17. of a source on the wedge or in the flow”, Fluid Dynamics, vol. 14, no. 6, pp. 927–931.
18. Pik-Pichak, E. G. 1981, “Flow around a limited wedge with a source at the top”, Report Inst.
19. Mech. Мoscow State Univer. no. 2565, 56 p.,[in Russian].
20. Sotina, N.B. 1977, “Asymptotic law of expansion of a cavity in the presence of hydrodynamic
21. singularities in the flow”, Fluid Dynamics, vol. 12, no. 3, pp. 469–472.
22. Petrov, A. G., Sotina, N. B. 1984, “Universal, cavity-shape-independent relations for cavitation
23. flow with small cavitation numbers”, J. Appl. Mech. and Techn. Phys., vol. 25, no. 5, pp.
24. –766.
25. Petrov, A. G. 2010, “Analytical hydrodynamics”, Nauka, Мoscow, 520 p.,[in Russian].
26. Shtanko, V. A. 1976, “On the jet flow around a plate, in the center of which there is a source
27. or drain”, Trudy NII Apll. Math. and Mech. Tomsk Gos. Univ., vol. 7, pp. 120–123.
28. Gurevich, M. I. 1979, “Theory of the ideal liquid jets”, Nauka, Мoscow, 536 p.,[in Russian].
29. Lavrentiev, M. A., Shabat, B. V. 1973, “ Methods of complex variable functions theory”, Nauka,
30. Мoscow, 736 p.,[in Russian].
Review
For citations:
Tolokonnikov S.L., Spasova A.A. On the crater of an ejection formed by an explosion of two flat surface cord charges. Chebyshevskii Sbornik. 2023;24(1):294-303. https://doi.org/10.22405/2226-8383-2023-24-1-294-303