HYDROMAGNETIC FLOW NEAR A NON-UNIFORM ACCELERATING PLATE IN THE PRESENCE OF MAGNETIC FIELD THROUGH POROUS MEDIUM

Amir Khan; Gul Zaman; Ghaus  ur Rahman

doi:10.1615/JPorMedia.v18.i8.50

Journal of Porous Media

Editor chefe: Kambiz Vafai (open in a new tab)

Publicou 12 edições por ano

ISSN Imprimir: 1091-028X

ISSN On-line: 1934-0508

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HYDROMAGNETIC FLOW NEAR A NON-UNIFORM ACCELERATING PLATE IN THE PRESENCE OF MAGNETIC FIELD THROUGH POROUS MEDIUM

Volume 18, Edição 8, 2015, pp. 801-809

DOI: 10.1615/JPorMedia.v18.i8.50

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Amir Khan
Department of Mathematics, University of Malakand, Chakdara, Dir(Lower), Khyber Pakhtunkhwa, Pakistan; Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan

Gul Zaman
Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan

Ghaus ur Rahman
Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan

RESUMO

New exact solutions for unsteady magnetohydrodynamic (MHD) flows of a generalized second-grade fluid near a non-uniform accelerating plate have been derived. The generalized second-grade fluid saturates the porous space. Fractional derivative is used in the governing equation. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique for the fractional calculus. The obtained solutions are expressed in series form in terms of Fox H-functions. Similar solutions for ordinary second-grade fluid passing through a porous space are also recovered. Moreover, several figures are sketched for the pertinent parameters to analyze the characteristics of velocity field and shear stress.

Palavras-chave: MHD flow, generalized second-grade fluid, fractional derivatives, Fox H-functions, discrete Laplace transform

CITADO POR

Riaz M.B., Imran M.A., Shabbir K., Analytic solutions of Oldroyd-B fluid with fractional derivatives in a circular duct that applies a constant couple, Alexandria Engineering Journal, 55, 4, 2016. Crossref
Khan Amir, Zaman Gul, Li Yongjin, Ahmad Saeed, Hussain Altaf, The Oscillatory Motion of Oldroyd-B Fluid by Incorporating Some of the Mechanical Factors, Journal of Applied Mathematics and Physics, 05, 12, 2017. Crossref
Sreedevi P., Reddy P. Sudarsana, Chamkha Ali. J., Magneto-hydrodynamics heat and mass transfer analysis of single and multi-wall carbon nanotubes over vertical cone with convective boundary condition, International Journal of Mechanical Sciences, 135, 2018. Crossref
Khan Amir, Zaman Gul, Ahmad Saeed, Chohan M. Ikhlaq, Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform, American Journal of Computational Mathematics, 07, 04, 2017. Crossref

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