Propagation and reflection of thermoelastic waves through diffusive porous non-local semiconductor with higher-order fractional derivative

This study investigates wave propagation in a thermo-porous diffusive semiconducting medium using non-local fractional derivative theory for heat conduction. Six waves propagate: one independent shear vertical wave and five coupled longitudinal waves. Key findings show that non-locality significantly slows down wave propagation in porous media compared to non-porous media. Amplitude ratios for the longitudinal displacement wave at a free boundary highlight the influence of porosity and diffusion on wave behavior. Physical parameters such as porosity and thermal diffusivity are found to directly affect wave speeds. The results, validated through energy conservation, recover prior outcomes in the absence of voids. Real-time applications include advancements in semiconductor technology, improved porous material design for energy storage systems and enhanced predictive models for thermal and wave behavior in geothermal energy extraction.