Abstract
The present study examines the behavior of a plane piston problem as it moves at a constant velocity in a generalized Chaplygin gas in the presence of a weak gravitational field. A systematic perturbation approach is utilized to obtain an analytical solution for the flow field up to the first order of ϵ. Also, the basic state solution is derived in case of weak shock waves. Further, we analyze the distribution patterns of flow variables for different values of α graphically. Moreover, an approximate solution for the strong shock wave has been found and discussed. The acquired solutions are highly influenced by generalized Chaplygin gas and the applied gravity, which is intriguing aspect from both a physical and scientific standpoint.
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