Higher-order heat conduction model in a rotating micropolar thermoelastic medium with moving heat source and electromagnetic field

This article investigates the influence of an electromagnetic field, angular velocity, and internal heat sources on two-dimensional thermoelasticity in a micropolar thermoelastic medium using a generalized model of higher-order (multi-phase-lag) heat conduction. The governing coupled partial differential equations are transformed through the normal mode analysis method. The eigenvalue approach is then applied to determine analytically the displacement components, stress components, couple stresses, and temperature distributions from the vector-matrix differential equation. The study’s findings are validated through boundary conditions, and graphical representations highlight the influence of angular velocity, magnetic field, and heat sources in this multi-phase-lag model. The graphical comparison of different thermoelastic models is presented, and the inclusion of tabular data enhances clarity, facilitating a comparative analysis of field variables.