Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer

Magdy A. Ezzat

doi:10.1016/j.physb.2010.07.009

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$Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer$

Journal article

Peer reviewed

Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer

Magdy A. Ezzat

Physica. B, Condensed matter, Vol.405(19), pp.4188-4194

01/10/2010

DOI: https://doi.org/10.1016/j.physb.2010.07.009

Abstract

Fourier's law

Laplace transforms

Modified Riemann–Liouville fractional derivative

New fractional Taylor's series

Numerical method

State space approach

Stokes' first problem

Thermoelectric MHD

Viscoelastic fluid

In this work, a new mathematical model of thermoelectric MHD theory has been constructed in the context of a new consideration of heat conduction with fractional order. This model is applied to Stokes' first problem for a viscoelastic fluid with heat sources. Laplace transforms and state-space techniques [1] will be used to obtain the general solution for any set of boundary conditions. According to the numerical results and its graphs, conclusion about the new theory has been constructed. Some comparisons have been shown in figures to estimate the effects of the fractional order parameter on all the studied fields.

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Title: Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer
Creators - without role: Magdy A. Ezzat - Alexandria University
Publication Details: Physica. B, Condensed matter, Vol.405(19), pp.4188-4194
Publisher: Elsevier B.V
Identifiers: 9928202308331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article