Study of Two Dimensional Magneto Thermoelastic Problems in Rotating Medium by Eigenfunction Expansion Method

摘要

In this paper the linear theory of generalized Thermoelasticity has been employed to study the disturbances in an infinite rotating elastic medium containing instantaneous heat source and permeated by a primary uniform magnetic field. It is assumed that the medium under consideration is homogeneous, orthotropic, electrically as well as thermally conducting. The fundamental equations of the two dimensional problem of generalized thermoelasticity with one relaxation parameter including heat source in an infinite rotating media and under the influence of magnetic field have been deduced in the form of a vector-matrix differential equation in the Laplace-Fourier transform domain and have been solved by the eigenvalue approach. The results obtained in the present analysis have been compared to those available in the existing literature. The graphs have been drawn to show the effect of rotation and relaxation.