Investigating the impact of viscosity on magnetohydrodynamic (MHD) shock waves in a mixture of non-ideal gas and fine solid particles

Ravilisetty Revathi; Dunna Narsimhulu; Addepalli Ramu

Ravilisetty Revathi School of Technology, Woxsen University, Telangana, India, 502345.
Dunna Narsimhulu Central University of Tamil Nadu, Tamil Nadu , India, 610 005.
Addepalli Ramu Birla Institute of Technology and Science- Pilani, Hyderabad Campus, Telangana, India, 500 078.

Abstract

In this study, self-similar solutions for cylindrically symmetric flow driven by a moving piston in a dusty gas are obtained using a mathematical model. One-dimensional unsteady viscous magnetohydrodynamic flow is assumed. The dusty gas medium is thought to have a mixture of real gas and uniformly distributed micro-size solid particles. For the flow, it is assumed that the equilibrium condition holds. Shock is assumed to be strong and propagate through a medium in a power law. When the flow between the shock and the piston is isothermal or adiabatic, solutions are derived, and a comparative study is presented. The purpose of this work is to contribute to a better understanding of shock wave behavior in a magnetised environment of dusty gas with viscosity. The results show that for various values of non-idealness parameters in the presence of viscosity, the flow variables have distinct properties in dust-free gas and dusty gas.