STUDY OF A ONE-DIMENSIONAL UNSTEADY
GAS DYNAMIC PROBLEM BY ADOMIAN
DECOMPOSITION METHOD
Manoj Singh1, Arvind Patel2, Ruchi Bajargaan3
1,2,3 Department of Mathematics
University of Delhi
110007, Delhi, INDIA

Abstract

The system of gas dynamic equations governing the motion of one-dimensional unsteady adiabatic flow of a perfect gas in planer, cylindrical and spherical symmetry is solved successfully by applying the Adomian decomposition method under the exponential initial conditions. The solution of the system of equation is computed up to the five components of the decomposition series. The variation of the approximate velocity, density and pressure of the fluid motion with position and time is studied. It is found that there exists discontinuity or shock wave in the distribution of flow variables. The solution of system of gas dynamic equations by Adomian decomposition method is convergent for a domain of position and time. The decomposition method provides the variation of flow-variables with position and time separately which was not possible in similarity method.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 29
Issue: 6
Year: 2016

DOI: 10.12732/ijam.v29i6.8

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