Oblique shock wave in turbulent flow-Reference-Cited by-同舟云学术

Oblique shock wave in turbulent flow

Published:2023-04-04 Issue:4 Volume:48 Page:389-401
ISSN:1437-4358
Container-title:Journal of Non-Equilibrium Thermodynamics
language:en
Short-container-title:

Author:

Avramenko Andriy A.¹,Tyrinov Andrii I.¹,Shevchuk Igor V.²,Dmitrenko Nataliya P.¹

Affiliation:

1. Institute of Engineering Thermophysics, National Academy of Sciences , Kiev 03057 , Ukraine

2. Faculty of Computer Science and Engineering Science , TH Köln – University of Applied Sciences , 51643 Gummersbach , Germany

Abstract

Abstract The main attention is paid to the analytical analysis of an oblique shock wave in a turbulent adiabatic gas flow. For this purpose, a modified Rankine–Hugoniot model was obtained. On its basis, a solution was derived for the Rankine–Hugoniot conditions for a gas flow with various degrees of turbulence, as well as the equation of the modified Hugoniot adiabat. The behavior of the velocity of an adiabatic turbulent gas flow during its passage through an oblique shock wave at different levels of turbulence is demonstrated. A modification of Prandtl’s law for the velocity coefficients was obtained. The shock polar was also analyzed. The relationship between the angular gas flow and the angle of the shock wave was derived. Finally, the condition for the appearance of an outgoing bow shock wave was obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy,General Chemistry

Link

https://www.degruyter.com/document/doi/10.1515/jnet-2022-0093/pdf

Reference24 articles.

1. P. M. Ligrani, E. S. McNabb, H. Collopy, M. Anderson, and S. M. Marko, “Recent investigations of shock wave effects and interactions,” Adv. Aerodyn., vol. 2, p. 4, 2020. https://doi.org/10.1186/s42774-020-0028-1.

2. C. Ben-Dor, O. Igra, and T. Elperin, Handbook of Shock Waves, vols. 1–3, San Diego, CA, USA, Academic Press, 2001.

3. Y. Zhu and P. Jiang, “Experimental and analytical studies on the shock wave length in convergent and convergent–divergent nozzle ejectors,” Energy Convers. Manage., vol. 88, pp. 907–914, 2014. https://doi.org/10.1016/j.enconman.2014.09.023.

4. O. Igra, X. Wu, J. Falcovitz, T. Meguro, K. Takayama, and W. Heilig, “Experimental and theoretical studies of shock wave propagation through double-bend ducts,” J. Fluid Mech., vol. 437, pp. 255–282, 2001. https://doi.org/10.1017/s0022112001004098.

5. J. Ackeret, F. Feldman, and N. Rott, “Investigations of compression shocks and boundary layers in gases moving at high speed,” Mitteilungen aus dem Institut für Aerodynamik an der Eidgenoessischen Technischen Hochschule, no vol. 3, p. 1113, 1947.