Coupled magneto-bioheat analysis in cylindrical porous bone with nonlocal thermoelasticity and memory kernels

This study presents a theoretical investigation into bio-heat transport within an infinitely long cylindrical porous bone subjected to a uniform magnetic field. The analysis employs the dual-phase-lag (DPL) thermoelasticity framework, incorporating both memory-dependent behavior, and nonlocal interactions to capture the complex thermal and mechanical responses of biological tissues. To simulate realistic physiological conditions, the outer surface of the bone cylinder is exposed to a sudden thermal shock, while traction-free and stress-free boundary conditions are enforced. The governing equations are solved using Laplace transform techniques, followed by numerical inversion to retrieve time-domain solutions. Key physical quantities—including temperature distribution, mechanical displacement, thermal stresses, induced magnetic field intensity, and excess pore fluid pressure, are computed across various radial positions. Graphical results are presented to illustrate the sensitivity of these field variables to changes in thermal relaxation times and porosity levels, highlighting the model’s relevance to biomedical and engineering applications. The results offer predictive insights for magneto-thermotherapy in oncology, particularly in targeting porous bone tumors with controlled thermal shock. The model also informs scaffold design for orthopedic implants by quantifying stress attenuation and pore pressure dynamics under magnetic stimulation.