Non-darcian forced convection flow of viscous dissipating fluid over a flat plate embedded in a porous medium

AYDIN O., Kaya A.

TRANSPORT IN POROUS MEDIA, vol.73, no.2, pp.173-186, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.1007/s11242-007-9166-8
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.173-186
  • Keywords: porous medium, boundary layer, horizontal, viscous dissipation, Eckert number, porosity, inertia effect, suction/injection parameter, BOUNDARY-LAYER-FLOW, POWER-LAW FLUID, HEAT-TRANSFER, SIMILARITY SOLUTIONS, NONISOTHERMAL WEDGE, VARIABLE VISCOSITY, WALL TEMPERATURE, HORIZONTAL PLATE, MASS-TRANSFER, SURFACE
  • Karadeniz Technical University Affiliated: No


In this study, laminar boundary layer flow over a flat plate embedded in a fluid-saturated porous medium in the presence of viscous dissipation, inertia effect and suction/injection is analyzed using the Keller box finite difference method. The flat plate is assumed to be held at constant temperature. The non-Darcian effects of convection, boundary and inertia are considered. Results for the local heat transfer parameter and the local skin friction parameter as well as the velocity and temperature profiles are presented for various values of the governing parameters. The non-Darcian effects are shown to decrease the velocity and to increase the temperature. It is also shown that the local heat transfer parameter and the local skin friction parameter increase due to suction of fluid while injection reverses this trend. It is disclosed that the effect of the viscous dissipation for negative values of Ec (T-w < T-infinity) is to enhance the heat transfer coefficient while the opposite is true for positive values of Ec (T-w>T-infinity). The results are compared with those available in the existing literature and an excellent agreement is obtained.