Transient natural convection in porous square cavity heated and cooled on adjacent walls

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Abstract

Transient natural convection in a square cavity filled with a porous medium is studied numerically. The cavity is assumed heated from one vertical wall and cooled at the top, while the other walls are kept adiabatic. The governing equations are solved numerically by a finite difference method. The effects of Rayleigh number on the initial transient state up to the steady state are investigated for Rayleigh number ranging from 10 to 2 10 2. The evolutions of flow patterns and temperature distributions were presented for Rayleigh numbers, Ra= 10 2 and 10 3. It is observed that the time taken to reach the steady state is longer for low Rayleigh number and shorter for high Rayleigh number.

Original languageEnglish
Article number253965
JournalMathematical Problems in Engineering
Volume2012
DOIs
Publication statusPublished - 2012

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Rayleigh number
Natural Convection
Natural convection
Cavity
Adjacent
Finite difference method
Flow patterns
Porous materials
Temperature distribution
Transient State
Flow Pattern
Temperature Distribution
Difference Method
Porous Media
Governing equation
Finite Difference
Vertical

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

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abstract = "Transient natural convection in a square cavity filled with a porous medium is studied numerically. The cavity is assumed heated from one vertical wall and cooled at the top, while the other walls are kept adiabatic. The governing equations are solved numerically by a finite difference method. The effects of Rayleigh number on the initial transient state up to the steady state are investigated for Rayleigh number ranging from 10 to 2 10 2. The evolutions of flow patterns and temperature distributions were presented for Rayleigh numbers, Ra= 10 2 and 10 3. It is observed that the time taken to reach the steady state is longer for low Rayleigh number and shorter for high Rayleigh number.",
author = "Selamat, {M. S.} and Ishak Hashim and Hasan, {Mohammad Khatim}",
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journal = "Mathematical Problems in Engineering",
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AU - Hasan, Mohammad Khatim

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N2 - Transient natural convection in a square cavity filled with a porous medium is studied numerically. The cavity is assumed heated from one vertical wall and cooled at the top, while the other walls are kept adiabatic. The governing equations are solved numerically by a finite difference method. The effects of Rayleigh number on the initial transient state up to the steady state are investigated for Rayleigh number ranging from 10 to 2 10 2. The evolutions of flow patterns and temperature distributions were presented for Rayleigh numbers, Ra= 10 2 and 10 3. It is observed that the time taken to reach the steady state is longer for low Rayleigh number and shorter for high Rayleigh number.

AB - Transient natural convection in a square cavity filled with a porous medium is studied numerically. The cavity is assumed heated from one vertical wall and cooled at the top, while the other walls are kept adiabatic. The governing equations are solved numerically by a finite difference method. The effects of Rayleigh number on the initial transient state up to the steady state are investigated for Rayleigh number ranging from 10 to 2 10 2. The evolutions of flow patterns and temperature distributions were presented for Rayleigh numbers, Ra= 10 2 and 10 3. It is observed that the time taken to reach the steady state is longer for low Rayleigh number and shorter for high Rayleigh number.

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