Table 2 Role of experimental comparisons in validating fractional–rotational hydro-semiconductor models.
From: Fractional heat conduction with variable thermal conductivity in rotating hydro-semiconductors
Aspect of the present model | Current validation approach | Need for experimental validation | Potential experimental techniques |
|---|---|---|---|
Fractional-order heat conduction | Verified by reduction to Fourier and LS models; comparison with fractional thermoelasticity literature (e.g.,51,54) | To confirm memory-dependent and anomalous heat transport in semiconductors | Laser flash experiments; time-resolved photothermal measurements |
Variable thermal conductivity | To measure the nonlinear thermal response under temperature gradients | Thermal conductivity measurements under controlled heating | |
Rotational effects | Compared with published rotation-only models44 | To examine Coriolis-induced anisotropy in semiconductor media | Rotating-frame experiments; MEMS gyroscope-based setups |
Coupled thermal–mechanical–carrier waves | Theoretical agreement with photo-thermoelasticity frameworks30,41,43 | To validate carrier diffusion and stress-wave interaction | Pump–probe laser techniques; ultrafast spectroscopy |
Overall coupled model | Theoretical consistency with limiting cases and literature | Comprehensive experimental benchmarks are not yet available | Combined photothermal, mechanical, and electrical measurements |