Numerical Investigation of Convective Heat Transfer Effect on Divergent Shock Waves in Ideal Magnetogasdynamics

Document Type : Full Length Research Article

Authors

1 Department of Statistics and Applied Mathematics, Central University of Tamil Nadu, Neelakudi, Thiruvarur-610 005, Tamil Nadu, India

2 Department of Physics, Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNR-VJIET), Bachupally, Hyderabad-500090, Telangana, India

Abstract

This study examines the impact of heat transfer mechanisms such as conduction, radiation and convection, on the propagation of spherical and cylindrical shock waves generated by the motion of a piston in an ideal magnetohydrodynamic (MHD) gas at equilibrium. The thermal properties of the medium, including its heat transfer capacity and absorption coefficient, are influenced by temperature variations. The governing equations are expressed in the form of a coupled system of nonlinear partial differential equations in the Eulerian framework, with the incorporation of multiple heat transfer modes. Key flow parameters such as velocity, density, pressure, magnetic pressure and total energy are analyzed to understand the behavior of the shock wave under varying conditions. The findings of the study demonstrate that the piston velocity index, magnetic field intensity, and the convective heat transfer parameters such as convective coefficient ( ), Nusselt number, and characteristic length significantly affect the shock strength and flow dynamics. Notably, pressure and energy distributions exhibit a strong dependence on ( ). Moreover, it is evident from observations that the interaction between shock dynamics and heat transfer is significantly influenced by the system’s geometry. The obtained results of the study align well with established literature reports.

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References

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History

  • Receive Date: 25 September 2024
  • Revise Date: 12 June 2025
  • Accept Date: 24 July 2025

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