Thermomechanical Fractional Model of Two Immiscible TEMHD

Thermomechanical Fractional Model of Two Immiscible TEMHD

We introduce a mathematical model of unsteady thermoelectric MHD flow and heat transfer of two immiscible fractional second-grade fluids, with thermal fractional parameters αi and mechanical fractional parameters βi, i=1,2. The Laplace transform with respect to time is used to obtain the solution in...

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Main Authors: F. Hamza, A. M. Abd El-Latief, W. Khatan
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/391454
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spelling doaj-7686e732c33b4fdf8551e1a1240af5942020-11-24T21:08:48ZengHindawi LimitedAdvances in Materials Science and Engineering1687-84341687-84422015-01-01201510.1155/2015/391454391454Thermomechanical Fractional Model of Two Immiscible TEMHDF. Hamza0A. M. Abd El-Latief1W. Khatan2Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria 21511, EgyptDepartment of Mathematics, Faculty of Science, University of Alexandria, Alexandria 21511, EgyptDepartment of Mathematics, Faculty of Science, University of Damanhour, Damanhour 22111, EgyptWe introduce a mathematical model of unsteady thermoelectric MHD flow and heat transfer of two immiscible fractional second-grade fluids, with thermal fractional parameters αi and mechanical fractional parameters βi, i=1,2. The Laplace transform with respect to time is used to obtain the solution in the transformed domain. The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. The numerical results for temperature, velocity, and the stress distributions are represented graphically for different values of αi and βi. The graphs describe the fractional thermomechanical parameters effect on the case of two immiscible fluids and the case of a single fluid.http://dx.doi.org/10.1155/2015/391454
collection DOAJ
language English
format Article
sources DOAJ
author F. Hamza
A. M. Abd El-Latief
W. Khatan
spellingShingle F. Hamza
A. M. Abd El-Latief
W. Khatan
Thermomechanical Fractional Model of Two Immiscible TEMHD
Advances in Materials Science and Engineering
author_facet F. Hamza
A. M. Abd El-Latief
W. Khatan
author_sort F. Hamza
title Thermomechanical Fractional Model of Two Immiscible TEMHD
title_short Thermomechanical Fractional Model of Two Immiscible TEMHD
title_full Thermomechanical Fractional Model of Two Immiscible TEMHD
title_fullStr Thermomechanical Fractional Model of Two Immiscible TEMHD
title_full_unstemmed Thermomechanical Fractional Model of Two Immiscible TEMHD
title_sort thermomechanical fractional model of two immiscible temhd
publisher Hindawi Limited
series Advances in Materials Science and Engineering
issn 1687-8434
1687-8442
publishDate 2015-01-01
description We introduce a mathematical model of unsteady thermoelectric MHD flow and heat transfer of two immiscible fractional second-grade fluids, with thermal fractional parameters αi and mechanical fractional parameters βi, i=1,2. The Laplace transform with respect to time is used to obtain the solution in the transformed domain. The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. The numerical results for temperature, velocity, and the stress distributions are represented graphically for different values of αi and βi. The graphs describe the fractional thermomechanical parameters effect on the case of two immiscible fluids and the case of a single fluid.
url http://dx.doi.org/10.1155/2015/391454
work_keys_str_mv AT fhamza thermomechanicalfractionalmodeloftwoimmiscibletemhd
AT amabdellatief thermomechanicalfractionalmodeloftwoimmiscibletemhd
AT wkhatan thermomechanicalfractionalmodeloftwoimmiscibletemhd
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