Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate

Atangana-Baleanu fractional derivative has been applied to study heat transfer problem of magnetohydrodynamic (MHD) Maxwell fluid over a vertical plate embedded in a porous medium. The analytical solutions have been obtained for temperature distribution and velocity field by employing Laplace transf...

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Published inMathematical modelling of natural phenomena Vol. 13; no. 1; p. 1
Main Authors Abro, K.A., Khan, I., Tassaddiq, A.
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences 2018
Subjects
34B20
35G31
35Q53
Atangana-Baleanu fractional derivatives
Convection
Exact solutions
Fluid dynamics
Fluid flow
Fox-H function
Heat transfer
Laplace transforms
Magnetic fields
Magnetism
Magnetohydrodynamics
Mathematical analysis
Maxwell fluids
Maxwell model
Oscillations
Parameters
Porous media
Prandtl number
Temperature distribution
Trigonometric functions
Velocity distribution
Viscosity
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Summary:Atangana-Baleanu fractional derivative has been applied to study heat transfer problem of magnetohydrodynamic (MHD) Maxwell fluid over a vertical plate embedded in a porous medium. The analytical solutions have been obtained for temperature distribution and velocity field by employing Laplace transforms technique for both sine and cosine oscillations of the plate. The general solutions have been expressed in terms of Fox-H function satisfying imposed conditions. The results are plotted graphically and discussed for embedded parameters such as magnetic field, Maxwell parameter, porous medium, Prandtl number and fractional parameter.
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publisher-ID:mmnp170122
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ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp/2018007