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Mixed Convection of a Viscous Dissipative Fluid about a Vertical Flat Plate Embedded in a Porous Medium: Constant Wall Temperature Case

Volume 9, Numéro 6, 2006, pp. 559-580
DOI: 10.1615/JPorMedia.v9.i6.50
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RÉSUMÉ

This study presents a theoretical analysis for the problem of steady, laminar mixed convection heat transfer from a hot/cold vertical plate embedded in a fluid-saturated porous medium. The effect of viscous dissipation is included. The governing systems of partial differential equations are solved using a suitable variable transformation and employing the fourth-order Runge-Kutta integration and the shooting method. The governing parameters are, namely, the mixed convection parameter, the Eckert number, the porosity and non-Darcian effects, and the Prandtl number. A parametric study is conducted in order to study the interactive effects of these parameters on the velocity and temperature profiles as well as on the Nusselt number. Based on the facts that the free stream is either in parallel or reverse to the gravity direction and the plate is heated or cooled, four different flow situations are identified: aiding (where the buoyancy force accelerates the flow) with positive Ec (wall heating), aiding with negative Ec (wall cooling), opposing (where the buoyancy retards the flow) with positive Ec, and opposing with negative Ec. Very interesting thermophysical behaviors are observed and discussed for each case. The obtained results are checked against previously published work on special cases of the problem and found to be in excellent agreement.

CITÉ PAR
  1. Aydın Orhan, Kaya Ahmet, Non-Darcian Forced Convection Flow of Viscous Dissipating Fluid over a Flat Plate Embedded in a Porous Medium, Transport in Porous Media, 73, 2, 2008. Crossref

  2. Narayana Mahesha, Khidir Ahmed A., Sibanda Precious, Murthy P. V. S. N., Viscous Dissipation and Thermal Radiation Effects on Mixed Convection from a Vertical Plate in a Non-Darcy Porous Medium, Transport in Porous Media, 96, 2, 2013. Crossref

  3. Nield Donald A., Bejan Adrian, Mixed Convection, in Convection in Porous Media, 2017. Crossref

  4. Nield Donald A., Bejan Adrian, Mixed Convection, in Convection in Porous Media, 2013. Crossref

  5. RamReddy Ch., Srivastav Abhinava, Murthy P. V. S. N., Entropy generation estimation in pseudoplastic and dilatant fluid flows over a vertical plate and frustum of a cone, International Journal of Ambient Energy, 2021. Crossref

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