Analysis of Magneto‐Thermoelastic Plane Waves in Biological Tissue With Voids and Variable Thermal Conductivity Under Dual‐Phase‐Lag Model

ABSTRACT A numerical study is accomplished to explore the reflection phenomena of plane waves on account of a magnetic field with Hall current in a biological tissue with voids and variable thermal conductivity. A generalized thermoelasticity model with dual‐phase‐lag hypothesis is taken for the theoretical analysis. The displacement vector is elegantly described using Helmholtz decomposition, which employs scalar and vector potential functions for an extensive representation. Four coupled plane waves have been perceived to propagate across the medium at distinct speeds. The computations for the reflection coefficients, attenuation coefficients, phase velocities, and partition of the energy are done through the MATLAB software. Some illustrative graphs are presented to examine the effects of the void parameter, blood perfusion rate, Hall current parameter, and variable thermal conductivity on amplitude ratios, phase velocities, and attenuation coefficients. Moreover, the phenomenon of “no dissipation of energy” is demonstrated in this research. Some special cases are provided to validate the present model with an existing frame of reference. To the authors' best knowledge, there has been no research emphasizing Hall current effect on the reflection phenomena of plane waves in a biological tissue with voids and variable thermal conductivity, pointing out the novelty of the present investigation.