Analysis of Flow and Heat Transfer in a Vertical Rectangular Duct Using a Non-Darcy Model

被引：0
作者：
J. C. Umavathi
机构：
[1] Gulbarga University,Department of Mathematics
来源：
Transport in Porous Media | 2013年 / 96卷
关键词：
Natural convection; Darcy-Forchheimer-Brinkman model; Rectangular duct; Finite difference;
D O I：
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学科分类号：
摘要：
Numerical investigation of steady natural convection flow through a fluid-saturated porous medium in a vertical rectangular duct is investigated. The Darcy-Forchheimer-Brinkman model is used to represent the fluid transport within the porous medium. One of the vertical walls of the duct is cooled to a constant temperature, while the other wall is heated to constant but different temperature. The other two sides of the duct are insulated. The finite difference method of second-order accuracy is used to solve the non-dimensional governing equations. The results are presented graphically to show the effects of the Darcy number, inertial parameter, Grashof number, Brinkman number, aspect ratio, and viscosity ratio. It is found that an increase in the Darcy number and inertial parameter reduces the flow intensity whereas an increase in the Grashof number, Brinkman number, aspect ratio, and viscosity ratio increases the flow intensity.
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页码：527 / 545
页数：18
相关论文
共 53 条
  • [1] Al-Hadhrami AK(2003)A new model for viscous dissipation in porous media across a range of permeability values Transp. Porous Media 53 117-122
  • [2] Elliott L(1969)Non-Darcy flow through fibrous porous media J. Appl. Mech. 40 711-714
  • [3] Ingham DB(1947)On the permeability of media consisting of closely packed porous particles Appl. Sci. Res. A 1 81-86
  • [4] Beavers GS(1952)Fluid flow through packed columns Chem. Eng. Prog. 48 89-94
  • [5] Sparrow EM(1962)Effects of viscous dissipation in natural convection J. Fluid Mech. 14 225-232
  • [6] Brinkman HC(1994)A determination of the effective viscosity for Brinkman-Forchheimer flow model J. Fluid Mech. 258 355-370
  • [7] Ergun S(1998)Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium Flow Turbul. Combust. 60 173-192
  • [8] Gebhart B(1998)Analytical investigation of Couette flow in a composite channel partially filled with a porous medium and partially with a clear fluid Int. J. Hear Mass Transf. 41 2556-2560
  • [9] Gilver RC(2003)Thermally developing forced convection in a porous medium: circular duct with walls at constant temperature, with longitudinal conduction and viscous dissipation effects Transp. Porous Media 53 331-345
  • [10] Altobelli SA(2001)Convective flow and heat transfer in an inclined composite porous medium J. Porous Media 4 15-22
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