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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.259 SNIP: 0.466 CiteScore™: 0.83

ISSN Imprimir: 2151-4798
ISSN En Línea: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v1.i3.50
pages 243-255

THE PULSATILE FLOW OF A BURGERS' FLUID AND HEAT TRANSFER THROUGH A POROUS MEDIUM IN A CIRCULAR PIPE

Nabil T. Mohamed El-Dabe
Faculty of Education, Department of Mathematics, Ain Shams University, Roxy, 11757 Heliopolis, Cairo
Sallam N. Sallam
Mathematics Department, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt
Ahmed A. A. Hassan
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis Cairo, Egypt
Marwa M. Hussein
Faculty of Education, Department of Mathematics, Ain Shams University, Roxy, 11757 Heliopolis, Cairo

SINOPSIS

In this paper, the effect of an ohmic dissipation on the pulsatile flow of an incompressible non-Newtonian fluid obeying Burgers" model with heat transfer is studied. The fluid flows in a circular pipe through a porous medium in the presence of a uniform magnetic field acting parallel to the pipe radius. The analytical solutions of the momentum and heat equations have been obtained in terms of Bessel and modified Bessel functions. Finally, we studied the effects of various parameters such as the magnetic parameter and the permeability coefficient on the velocity and temperature profiles of various types of fluids: a Newtonian fluid, a Maxwell fluid, an Oldroyd-B fluid, a second-grade fluid, and a Burgers' fluid.