S. K. Matveev, N. Zh. Jaichibekov, “Mathematical model of the gas flow in the shock front”, Eurasian Math. J., 2013, Volume 4, Number 3,Pages <nobr>132

Short communications

Mathematical model of the gas flow in the shock front

S. K. Matveev^a, N. Zh. Jaichibekov^b

^a Department of Hydroaeromechanics, Faculty of Mathematics and Mechanics, St. Petersburg State University, 28 Universitetski Prospect, Saint Petersburg, Russia
^b Department of Mechanics, Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, 2 Mirzoyana St., 010008 Astana, Kazakhstan

Abstract: In this paper, an approximate solution of the problem of the structure of shock waves in gases is presented. Changes of the average magnitude of density, speed and internal energy of gas along with the width of the shock wave are given. Dependence of the width of the jump on the Mach number is obtained and is compared with results of other authors.

Keywords and phrases: shock waves, gas flow, flow of solid particles, average magnitude of density.

MSC: 76J20, 76L05

Received: 09.07.2013

Language: English