Document Type : Full Length Research Article
Authors
1
Central University of Tamil Nadu, Department of Statistics and Applied Mathematics, School of Mathematics and Computer Sciences, CUTN Bridge, Neelakudy Thiruvarur, Tamil Nadu, India
2
Central University of Tamil Nadu, Department of Statistics and Applied Mathematics, School of Mathematics and Computer Sciences, CUTN Bridge Neelakudy, Thiruvarur, Tamil Nadu, India
3
Department of Humanities and Sciences, Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNR VJIET), Bachupally, 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 moving 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 frame work with the incorporation of multiple heat transfer modes. Key flow parameters such as velocity, density, pressure, magnetic pressure and total energy are analysed to understand the behaviour of shock wave under varying conditions. The findings of the study demonstrate, the piston velocity index, magnetic field intensity, and the convective heat transfer parameters such as convective coefficient (h^*), Nusselt number, characteristic, significantly affect the shock strength and flow dynamics. Notably, pressure and energy distributions exhibit strong dependence on (h^*). 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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