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Exact Solution for the Magnetohydrodynamic Flows of an Oldroyd-B Fluid through a Porous Medium

Volume 10, Edição 4, 2007, pp. 391-399
DOI: 10.1615/JPorMedia.v10.i4.50
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RESUMO

Exact analytical solutions are obtained for the problem of unsteady flows of a magnetohydrodynamic Oldroyd-B fluid through a porous medium between two infinite plates. A modified Darcy's law is used in the flow modeling. The bottom plate moves in the presence of a uniform magnetic field. Graphs have been plotted for the velocity by giving numerical values to the parameters of interest. It is found that the velocity profile increases with an increase of retardation time and permeability, while it decreases as both the relaxation time and the magnetic parameter increase.

CITADO POR
  1. Khan M., Malik Rabia, Fetecau Corina, Fetecau C., EXACT SOLUTIONS FOR THE UNSTEADY FLOW OF A BURGERS' FLUID BETWEEN TWO SIDEWALLS PERPENDICULAR TO THE PLATE, Chemical Engineering Communications, 197, 11, 2010. Crossref

  2. Bég O. Anwar, Ghosh S. K., Narahari M., MATHEMATICAL MODELING OF OSCILLATORY MHD COUETTE FLOW IN A ROTATING HIGHLY PERMEABLE MEDIUM PERMEATED BY AN OBLIQUE MAGNETIC FIELD, Chemical Engineering Communications, 198, 2, 2010. Crossref

  3. Wang Shaowei, Tan Wenchang, Stability analysis of double-diffusive convection of Maxwell fluid in a porous medium heated from below, Physics Letters A, 372, 17, 2008. Crossref

  4. Khan Masood, Arshad Misbah, Anjum Asia, On exact solutions of Stokes second problem for MHD Oldroyd-B fluid, Nuclear Engineering and Design, 243, 2012. Crossref

  5. Khan M., Malik R., Anjum A., Exact solutions of MHD second Stokes flow of generalized Burgers fluid, Applied Mathematics and Mechanics, 36, 2, 2015. Crossref

  6. Haq Sami Ul, Khan Muhammad Atif, Shah Nehad Ali, Analysis of magnetohydrodynamic flow of a fractional viscous fluid through a porous medium, Chinese Journal of Physics, 56, 1, 2018. Crossref

  7. Fetecau Constantin, Rauf Abdul, Qureshi Tahir Mushtaq, Vieru Dumitru, Steady-State Solutions for MHD Motions of Burgers’ Fluids through Porous Media with Differential Expressions of Shear on Boundary and Applications, Mathematics, 10, 22, 2022. Crossref

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