• Raj Kumar
• Dr. Umesh Singh
• Dr. Anand Kumar Mishra

This study investigates the propagation of shock waves in a non-ideal magnetogasdynamics (MHD) medium, incorporating the effects of variable thermal conductivity, magnetic field, and compressibility. By employing a similarity solution approach, we analyze the spatial behavior of key reduced physical variables—velocity, pressure, density, magnetic field, and heat flux—along with normalized thermodynamic quantities such as the isothermal speed of sound and adiabatic compressibility. The influence of varying the adiabatic index (γ), thermal conductivity parameter (δ/λ), and magnetic Mach number squared (M_A²) is thoroughly examined through a series of parametric plots. Results show that the reduced velocity, pressure, and magnetic field decrease monotonically behind the shock front, while the reduced density increases, exhibiting sensitivity to both thermal and magnetic parameters. The reduced total heat flux displays a non-linear profile, peaking before gradually declining, influenced by energy dissipation mechanisms. The isothermal speed of sound increases steadily, while the reduced adiabatic compressibility follows a wave-like pattern with significant variation depending on model parameters. These findings contribute to a deeper understanding of shock wave behavior in magnetized, heatconducting gases, with implications for astrophysical plasmas, controlled fusion studies, and highspeed aerospace flows. The results emphasize the crucial role of non-ideal effects in accurately modeling and predicting the post-shock environment in MHD systems.

Shock wave,Self-similar flow,Variable initial density,Variable initial magnetic induction,Variable energy input, Weakly conducting dusty gas.

"Shock Wave Dynamics in a Non-Ideal MHD Medium with Variable Thermal Conductivity and Magnetic Field Effects", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 5, page no.a842-a854, May-2025, Available :http://www.jetir.org/papers/JETIR2505092.pdf

"Shock Wave Dynamics in a Non-Ideal MHD Medium with Variable Thermal Conductivity and Magnetic Field Effects", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 5, page no. ppa842-a854, May-2025, Available at : http://www.jetir.org/papers/JETIR2505092.pdf