<- Back to II. Mechanical Engineering & Physics Vol.2

Cite the paper

Certain Solutions Of Shock-Waves In Non-Ideal Gases Journal Article Mechanics, Materials Science & Engineering, 2 (1), pp. 45-57, 2016, ISSN: 2412-5954. |

**Authors: Kanti Pandey, Kiran Singh**

**ABSTRACT.** In present paper non similar solutions for plane, cylindrical and spherical unsteady flows of non-ideal gas behind shock wave of arbitrary strength initiated by the instantaneous release of finite energy and propagating in a non-ideal gas is investigated. Asymptotic analysis is applied to obtain a solution up to second order. Solution for numerical calculation Runga-Kutta method of fourth order is applied and is concluded that for non-ideal case there is a decrease in velocity, pressure and density for 0th and II^{nd} order in comparison to ideal gas but a increasing tendency in velocity, pressure and density for I^{st} order in comparison to ideal gas. The energy of explosion *J0* for ideal gas is greater in comparison to non-ideal gas for plane, cylindrical and spherical waves.

**Keywords: **shock waves, non-ideal medium, AMS classification

DOI 10.13140/RG.2.1.3928.9367

**References**

[1] S. I. Anisimov and O. M. Spiner, Motion of an almost ideal gas in the presence of a strong point explosion, J. Applied Maths, Vol.36(No.5) (1972), pp.883-887.

[2] P. H. Robert and C.C. Wu, Shock wave propagation in a sonolu-minescing gas bubble, The American physical Society, Vol. 70 (No. 22) (1933), pp.3424-3427.

[3] J. P. Vishwakarma, Self-similar solution of a shock propagation in a non ideal gas. Int. J. of Applied Mech and Engineering, Vol. 12 (No.3) (2007), pp.813-829.

[4] H. Steiner and T. Hirschler, A self similar solution of a shock propagation in a dusty gas, Eur. J. Mech. B/Fluids, Vol. 21 (No.3) (2002), pp.371-380.

[5] Madhumita and Sharma, Imploding cylindrical and spherical shock waves in a non-ideal medium, Journ. of Hyperbolic dif. eq., Vol. 1(No.3) (2004), pp.521-530.

[6] K. Pandey and P. P. Pathak, Growth and Decay of sonic waves in non-ideal gases (Communicated for publication).

[7] A. Sakurai, On the propagation and structure of the Blast wave I, Journal of the Physical Society of Japan, Vol. 8 (No.5) (1953), pp.662-669.

https://mmse.xyz/ID20160104IN2.pdf

Mechanics, Materials Science & Engineering Journal by Magnolithe GmbH is licensed under a Creative Commons Attribution 4.0 International License.

Based on a work at www.mmse.xyz.