Transonic Gas Flow with Nonplanar Shock Waves
- 52 Downloads
We study invariant solutions to the Karman–Guderley equation governing a threedimensional gas flow with shock waves on nonplanar surfaces. We investigate the global behavior of integral curves and use the obtained result for constructing a solution.
Unable to display preview. Download preview PDF.
- 1.J. D. Cole and L. P. Cook, Transonic Aerodynamics, North-Holland, Amsterdam etc. (1986).Google Scholar
- 2.K. G. Guderley, Theory of Transonic Flows, Pergamon Press, Oxford etc. (1962).Google Scholar
- 3.E. G. Shifrin, Potenrial and Vortical Transonic Flows of an Ideal Gas [in Russian], Fizmatgiz, Moscow (2001).Google Scholar
- 4.E. O. Kuznetsova and I. A. Chernov, “Exact solutions of the transonic equations of gas dynamics” [in Russian], Izv. Sarat. Univ., Ser. Mat. 7, No. 1, 54–63 (2007).Google Scholar
- 5.S. V. Golovin, “Group stratification and exact solutions of the equation of transonic gas motion” [in Russian], Prikl. Mekh. Tekh. Fiz. 44, No. 3, 51–63 (2003); English transl.: J. Appl. Mech. Tech. Phys. 44, No. 3, 344–354 (2003).Google Scholar
- 6.L. V. Ovsyannikov, Lectures on the Fundamentals of Gas Dynamics [in Russian], Nauka, Moscow (1981).Google Scholar
- 7.V. M. Men’shikov “On extension of invariant solutions to equations of gas dynamics through a shock wave” [in Russian], Din. Splosh. Sredy No. 4, 163–169 (1970).Google Scholar