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Time Varying Flow of a Power Law Fluid in a Porous Medium between Parallel Porous Plates with Heat Transfer under an Exponential Decaying Pressure Gradient

Volume 11, Issue 5, 2008, pp. 487-495
DOI: 10.1615/JPorMedia.v11.i5.60
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ABSTRACT

The time-varying flow in a porous medium of a viscous incompressible non-Newtonian power law fluid between two parallel horizontal porous plates is studied with heat transfer under an exponential decaying pressure gradient. A uniform suction and injection through the surface of the plates is applied. The two plates are kept at different but constant temperatures, while the viscous dissipation is taken into consideration. Numerical solutions for the governing nonlinear momentum and energy equations are obtained using finite difference approximations. The effect of the porosity of the medium, the parameter describing the non-Newtonian behavior, and the velocity of suction and injection on both the velocity and temperature distributions as well as the dissipation terms are examined.

CITED BY
  1. Attia Hazem Ali, Abbas W., Abdeen Mostafa A. M., Emam M.S., Effect of porosity on the flow of a dusty fluid between parallel plates with heat transfer and uniform suction and injection, European Journal of Environmental and Civil Engineering, 18, 2, 2014. Crossref

  2. Nield Donald A., Bejan Adrian, Forced Convection, in Convection in Porous Media, 2017. Crossref

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