Partial Differential Equations in Applied Mathematics (Dec 2021)
Reflection of plane harmonic wave in rotating media with fractional order heat transfer and two temperature
Abstract
The aim of the present investigation is to examine the propagation of plane harmonic waves in transversely isotropic homogeneous magneto thermoelastic rotating medium with fractional order heat transfer and two temperature. It is found that, for two dimensional assumed model, there exist three types of coupled longitudinal waves (quasi-longitudinal, quasi-transverse and quasi-thermal) in frequency domain. The amplitude ratios, energy ratios, phase velocities, specific loss, penetration depth, attenuation coefficients of various reflected waves are computed and depicted graphically. The conservation of energy at the free surface is verified. The effects of two temperature and fractional order parameter by varying different values are represented graphically