1D electromagnetic generalized thermoelasticity problem for circular cylindrical hole under a rotating effect
Authors: Shaaban E. Khader, Ayman A. Marrouf, Mona Khedr
Volume 11, Issue 1, Paper No. 110102
Abstract
In this work, the generalized thermoelastic theory was used with one relaxation time in the context of (L. S) theory, to investigate the magneto-thermoelastic problem of a rotating infinite body with a circular cylindrical hole in the existence of a uniform magnetic field in the direction of the axis. Constant heat flux is flowing into the infinite body from a circular cylindrical hole. The governing equations compatible with magnetism and generalized thermoelasticity have been formulated. By using the Laplace transform and the scalar Laplace inversion, the governing equations have been solved. Numerical calculations were performed for the studied variables and the obtained results were presented graphically. The effect of rotation on temperature is very small, while it is very noticeable in the other functions. This study may be important in the study of pressure vessels and pipes in nuclear reactors, and chemical plants.
Keywords: Cylindrical hole; Electromagnetic theory; Generalized Thermoelasticity; Rotating body; Wave propagation.
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