21. Fractional order magneto‑thermoelasticity in a rotating media with one relaxation time
M. Bachher1, N. Sarkar2
1Media Girl’s High School, Gobardanga, 24-Pgs (N), West Bengal, India
2Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata-700 009, India
E-mail: email@example.com, firstname.lastname@example.org
(Received 14 April 2016; accepted 20 May 2016)
Abstract. The theory of generalized thermoelasticity based on the heat conduction equation with the Caputo time-fractional derivative is used to study magneto-thermoelastic response of a homogeneous isotropic two-dimensional rotating elastic half-space solid. The solution for the physical variables is obtained using the normal mode analysis together with an eigenvalue approach technique. Numerical computations are carried out for a hypothetical copper like material the numerical results are illustrated graphically. Some comparisons have been made in the graphical results to show the effect of fractional parameter, magnetic field and the rotation on the field variables.
Keywords: non-Fourier heat conduction, Caputo time-fractional derivative, rotating media, normal mode analysis, eigenvalue approach.
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Cite this article
Bachher M., Sarkar N. Fractional order magneto‑thermoelasticity in a rotating media with one relaxation time. Mathematical Models in Engineering, Vol. 2, Issue 1, 2016, p. 56‑68.
Mathematical Models in Engineering. June 2016, Volume 2, Issue 1
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