Rotational effect on fractional order thermal-acoustic wave propagation in nano-scale hydro-semiconductors

This work examines the influences of rotational field and fractional heat time derivatives on thermal, acoustic, and optical wave propagation in nano-scale hydrodynamic semiconductors. Utilizing photo-thermoelasticity theory, we model the coupled wave behavior, incorporating the impact of rotation and fractional heat effects, which introduce nonlocality and thermal anisotropy. Normal mode analysis is applied to derive the boundary conditions at the hydro-semiconductor surface, which are addressed with continuity conditions for temperature under the laser excitation with recombination process, stress, and displacement, alongside thermal flux conditions. Numerical solutions highlight the influence of rotation, nonlocality, and fractional heat time derivatives on wave propagation. Graphical representations of the main fields demonstrate wave interaction dynamics, showing the dependence on rotational frequency and fractional order. The results reveal significant alterations in wave behavior due to the combined rotational and fractional thermal effects, offering insights into advanced material design and novel applications in nano-semiconductor devices.