Abstract In this work, we have investigated the propagation and interaction of acceleration waves in a non-ideal relaxing gas in a rotating medium. By using the method of characteristics, a reference co-ordinate system aligned with the eigenvalues of the governing quasilinear hyperbolic equations is constructed. Within this framework, a transport equation governing the amplitude of evolution to examine the growth and decay of acceleration waves is derived. The solution of transport equation appears linear in the characteristic plane associated with the governing quasilinear system of equations, but its representation in the physical plane displays nonlinear behaviour. We have identified the essential magnitude of the initial disturbance. A shock wave will arise, if the compressive disturbance’s initial amplitude surpasses the critical value. However, if the amplitude is below this threshold, the disturbance will slowly decreases and the formation of shock wave is not seen. Also, we have discussed the effect of physical parameters such as: rotational parameter, adiabatic index, relaxation parameter, and non-idealness parameter on the growth of compression wave into shock wave and on the decay of expansion wave.
Lather et al. (Tue,) studied this question.