Analytical Solution of Magneto-Thermoelastic Diffusion Problem on a Hollow Cylinder
In this article, an estimation is made to investigate the effect of magnetic field in generalized thermoelastic diffusion model in the context of Lord and Shulman theory in a perfectly conducting medium. The analytical solution in the Laplace transform domain is obtained by using the
eigenvalue approach. The boundary conditions for the mechanical and Maxwell’s stresses at the internal and outer surfaces are considered. An application of a hollow cylinder is investigated where the inner surface is traction free and subjected to thermal shock, while the outer surface
is traction free and thermally isolated. The numerical results of displacement, temperature, concentration and stress as well as the chemical potential represented analytical and graphically.
Keywords: Eigenvalue Approach; Laplace Transform; Magnetic Field; Thermoelastic Diffusion
Document Type: Research Article
Affiliations: 1: Department of Mathematics, Faculty of Science and Arts - Khulais, University of Jeddah, 21921, Saudi Arabia 2: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box. 80203, Jeddah 21589, Saudi Arabia
Publication date: 01 November 2015
- Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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