Journal
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
Volume 100, Issue -, Pages 305-315Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.ijthermalsci.2015.10.008
Keywords
Magnetohydrodynamic; Stokes' flow; Thermoelectric fluid; Variable thermal conductivity; Stokes' first problem; Fractional calculus
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In this study, the constitutive relation for the heat flux vector is derived to be the Fourier's law of heat conduction with a variable thermal conductivity and time-fractional order. The Stokes' flow of unsteady incompressible thermoelectric fluid due to a moving plate in the presence of a transverse magnetic field is molded. Stokes' first problem is solved by applying Laplace transform with respect to time variable and evaluating the inverse transform integrals by using a numerical approach. Numerical results for the temperature and the velocity distributions are given and illustrated graphically for given problem. The results indicate that the thermal conductivity and time-fractional order play a major role in the temperature and velocity distributions. (C) 2015 Elsevier Masson SAS. All rights reserved.
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