Refined four-phase lag model for elasto-thermodiffusive interaction with harmonically varying heat sources

The present study explores generalized thermoelastic diffusion within the framework of refined four-phase lag models for an isotropic unbounded medium containing a cylindrical cavity, considering traction-free boundaries and heat sources that vary harmonically. Employing Laplace transform and later using the eigenvalue approach, we find the analytical formulations for various thermo-physical quantities in the transformed domain. Lastly, the Riemann-sum approximation method is employed to obtain the solutions in the real-time domain. We thoroughly examined the sensitivity of the various physical parameters across all investigated domain, and the findings are illustrated both graphically and in tabular formats.