Numerical Investigation of a Supersonic Flow in the Near Wake Region of a Cylindrical Afterbody

Abstract

A computational study of a supersonic flow in the base region and the nearest wake of a cylindrical body moving at a supersonic speed have been carried out. A mathematical model of high-enthalpy flows is presented. In this case, the "prehistory" of the flow was taken into account, i.e., the configuration of the computational domain was as close as possible to the real one. The use of various turbulence models for calculating flow in the base region and the nearest wake was analyzed. The following turbulence models were considered: 1) the Spalart --- Allmaras model; 2) SST model; 3) standard k--ε model; 4) k--ε model with compressibility correction; 5) k--ε RNG (renormalized group) model; 6) k--ε Realizable model; 7) standard Reynolds Stress (RS) model; 8) RS BSL (Reynolds stress baseline) model. Based on a comparison of the calculation results with experimental data, it is shown that: 1) when calculating the flow in the base region and in the wake of the vehicle, it is very important to take into account the "prehistory" of the flow, i.e., to calculate the flow around the entire vehicle; 2) the best match was obtained using Reynolds Stress models and the k--ε RNG model

Please cite this article as:
Molchanov A.M., Yanyshev D.S., Bykov L.V. Numerical investigation of a supersonic flow in the near wake region of a cylindrical afterbody. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2022, no. 3 (102), pp. 86--95. DOI: https://doi.org/10.18698/1812-3368-2022-3-86-95

References

[1] Kawai S., Fujii K. Computational study of a supersonic base flow using hybrid turbulence methodology. AIAA J., 2005, vol. 43, no. 6, pp. 1265--1275. DOI: https://doi.org/10.2514/1.13690

[2] Guoliang L., Liu Q., Yang Y., et al. Study on supersonic base flow with and without plume interaction. AIAA Paper, 2017, no. 2017-2276. DOI: https://doi.org/10.2514/6.2017-2276

[3] Nazarov F.Kh. Comparing turbulence models for swirling flows. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2021, no. 2 (95), pp. 25--36 (in Russ.). DOI: https://doi.org/10.18698/1812-3368-2021-2-25-36

[4] Herrin J.L., Dutton J.C. Supersonic base flow experiments in the near wake of a cylindrical afterbody. AIAA J., 1994, vol. 32, no. 1, pp. 77--83. DOI: https://doi.org/10.2514/3.11953

[5] Molchanov A.M. Neravnovesnaya vysokoental’piynaya termogazodinamika [Non-equilibrium high-enthalpy thermogasdynamics]. Moscow, MAI Publ., 2020.

[6] Wilcox D.C. Turbulence modeling for CFD. DCW industries, 2006.

[7] Mathur T., Dutton J.C. Base-bleed experiments with a cylindrical afterbody in supersonic flow. J. Spacecr. Rockets., 1996, vol. 33, no.1, pp. 30--37. DOI: https://doi.org/10.2514/3.55703

[8] Catalano G.D., Sturek W.B. A numerical investigation of subsonic and supersonic flow around axisymmetric bodies. Storming Media, 2001.

[9] Molchanov A.M. Numerical simulation of supersonic chemically reacting turbulent jets. AIAA Paper, 2011, no. 2011-3211. DOI: https://doi.org/10.2514/6.2011-3211

[10] Molchanov A.M., Siluyanova M.V., Kochetkov Yu.M. The implicit fully coupled numerical method for flows in thermochemical nonequilibrium. IOP Conf. Ser.: Mat. Sc. Eng., 2020, vol. 927, art. 012005. DOI: https://doi.org/10.1088/1757-899X/927/1/012005

[11] Kochetkov Y.M., Molchanov A.M., Siluyanova M.V. Calculation of high-altitude jets of the rocket engine based on quasi-gasdynamic equations. Russ. Aeronaut., 2019, vol. 62, no. 3, pp. 423--428. DOI: https://doi.org/10.3103/S1068799819030097

[12] Gidaspov V.Y., Kononov D.S., Severina N.S. Simulation of the ignition and detonation of methane--air mixtures behind a reflected shock wave. High Temp., 2020, vol. 58, no. 6, pp. 846--851. DOI: https://doi.org/10.1134/S0018151X20060103

[13] Ryzhkov S.V., Kuzenov V.V. Analysis of the ideal gas flow over body of basic geometrical shape. Int. J. Heat Mass Transf., 2019, vol. 132, pp. 587--592. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2018.12.032

[14] Kuzenov V.V., Ryzhkov S.V. Approximate calculation of convective heat transfer near hypersonic aircraft surface. J. Enhanc. Heat Transf., 2018, vol. 25, iss. 2, pp. 181--193. DOI: https://doi.org/10.1615/jenhheattransf.2018026947

[15] Nezu I., Nakagawa H. Turbulence in open-channel flows. CRC Press, 1993.

[16] Pope S.B. Simple models of turbulent flows. Phys. Fluids, 2011, vol. 23, iss. 1, art. 011301. DOI: https://doi.org/10.1063/1.3531744