Numerical simulation of transient free convection flow and heat transfer in a porous medium

Rajesh Sharma, Anuar Mohd Ishak

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The coupled momentum and heat transfer in unsteady, incompressible flow along a semi-infinite vertical porous moving plate adjacent to an isotropic porous medium with viscous dissipation effect are investigated. The Darcy-Forchheimer nonlinear drag force model which includes the effects of inertia drag forces is employed. The governing differential equations of the problem are transformed into a system of nondimensional differential equations which are solved numerically by the finite element method (FEM). The non-dimensional velocity and temperature profiles are presented for the influence of Darcy number, Forchheimer number, Grashof number, Eckert number, Prandtl number, plate velocity, and time. The Nusselt number is also evaluated and compared with finite difference method (FDM), which shows excellent agreement.

Original languageEnglish
Article number371971
JournalMathematical Problems in Engineering
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Free Convection
Natural convection
Porous Media
Drag
Porous materials
Heat Transfer
Differential equations
Heat transfer
Grashof number
Numerical Simulation
Drag Force
Momentum transfer
Incompressible flow
Prandtl number
Computer simulation
Nusselt number
Finite difference method
Finite element method
Viscous Dissipation
Temperature Profile

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Numerical simulation of transient free convection flow and heat transfer in a porous medium. / Sharma, Rajesh; Mohd Ishak, Anuar.

In: Mathematical Problems in Engineering, Vol. 2013, 371971, 2013.

Research output: Contribution to journalArticle

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