A numerical study of transient natural convection about a corrugated plate embedded in an enclosed porous medium

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Abstract

The problems of transient natural convection from a corrugated plate embedded in an enclosed porous medium is studied numerically. The non-Darcian effects as well as the acceleration terms are taken into consideration in the momentum equation. The governing equations in terms of vorticity, stream function and temperature are expressed in a body-fitted coordinates system, which were solved numerically by the finite difference method. Results are presented in terms of streamlines and isotherms, local and average Nusselt numbers, with Darcy-Rayleigh number ranging from 0 to 1000, and Darcy number from 10 to 10–1 for several aspect ratios of the cavity and plate positions. The flow and heat transfer characteristics for a corrugated plate and a flat plate and the numerical results solved with four different mathematical models are also compared.

Original languageEnglish
Pages (from-to)629-645
Number of pages17
JournalInternational Journal of Numerical Methods for Heat & Fluid Flow
Volume5
Issue number7
DOIs
Publication statusPublished - 1995 Jul 1

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Natural Convection
Nusselt number
Vorticity
Natural convection
Finite difference method
Porous Media
Isotherms
Porous materials
Aspect ratio
Numerical Study
Momentum
Mathematical models
Heat transfer
Stream Function
Rayleigh number
Flat Plate
Streamlines
Aspect Ratio
Temperature
Difference Method

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

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abstract = "The problems of transient natural convection from a corrugated plate embedded in an enclosed porous medium is studied numerically. The non-Darcian effects as well as the acceleration terms are taken into consideration in the momentum equation. The governing equations in terms of vorticity, stream function and temperature are expressed in a body-fitted coordinates system, which were solved numerically by the finite difference method. Results are presented in terms of streamlines and isotherms, local and average Nusselt numbers, with Darcy-Rayleigh number ranging from 0 to 1000, and Darcy number from 10 to 10–1 for several aspect ratios of the cavity and plate positions. The flow and heat transfer characteristics for a corrugated plate and a flat plate and the numerical results solved with four different mathematical models are also compared.",
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