Study of Finite Thermal Waves in a Magnetothermoelastic Rotating Medium

This article deals with the problem of finite thermoelastic wave propagation in an unbounded rotating medium due to a periodically varying heat source under the influence of a magnetic field. The governing equations for generalized thermoelasticity with energy dissipation (GNIII) and without energy dissipation (GNII) have been solved by using the Laplace-Fourier double transform technique. The inversion of the Fourier transform has been done by using residual calculus, and the inversion of the Laplace transformation is carried out using Fourier series expansion technique. The physical quantities have been computed numerically and presented graphically to compare the results for different theories (GNII and GNIII) and to show the effects of rotation, magnetic field, and the damping coefficient on the physical quantities.