State space approach to thermoelectric fluid with fractional order heat transfer

Magdy A. Ezzat

doi:10.1007/s00231-011-0830-8

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$State space approach to thermoelectric fluid with fractional order heat transfer$

Journal article

Peer reviewed

State space approach to thermoelectric fluid with fractional order heat transfer

Magdy A. Ezzat

Heat and mass transfer, Vol.48(1), pp.71-82

2012

DOI: https://doi.org/10.1007/s00231-011-0830-8

Abstract

Engineering

Engineering Thermodynamics

Heat and Mass Transfer

Industrial Chemistry/Chemical Engineering

Original

Thermodynamics

A new mathematical model for electromagnetic thermofluid equation heat transfer with thermoelectric properties using the methodology of fractional calculus is constructed. The governing coupled equations in the frame 11 of the boundary layer model are applied to variety problems. Laplace transforms and state space techniques (Ezzat Can J Phys Rev 86:1241–1250 in 2008) are used to get the solution of a thermal shock problem, a layer problem and a problem for the semi-infinite space in the presence of heat sources. According to the numerical results and its graphs, a parametric study of time-fractional order 0 < α ≤ 1, on temperature and the thermoelectric figure of merit are conducted.

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Title: State space approach to thermoelectric fluid with fractional order heat transfer
Creators - without role: Magdy A. Ezzat - Alexandria University
Publication Details: Heat and mass transfer, Vol.48(1), pp.71-82
Publisher: Springer-Verlag
Identifiers: 9928819808331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article