Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side wall(s)

M. Sathiyamoorthy; Tanmay Basak; S. Roy; I. Pop

doi:10.1016/j.ijheatmasstransfer.2006.10.010

Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side wall(s)

M. Sathiyamoorthy
, Tanmay Basak
, S. Roy
, I. Pop^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

129 Scopus citations

Abstract

In this paper natural convection flows in a square cavity filled with a porous matrix has been investigated numerically when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the porous medium. Penalty finite element method with bi-quadratic rectangular elements is used to solve the non-dimensional governing equations. Numerical results are presented for a range of parameters (Rayleigh number Ra, 10³ ≤ Ra ≤ 10⁶, Darcy number Da, 10^-5 ≤ Da ≤ 10^-3, and Prandtl number Pr, 0.2 ≤ Pr ≤ 100) in terms of stream functions and isotherm contours, and local and average Nusselt numbers.

Original language	English
Pages (from-to)	1892-1901
Number of pages	10
Journal	International Journal of Heat and Mass Transfer
Volume	50
Issue number	9-10
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2006.10.010
State	Published - May 2007
Externally published	Yes

Keywords

Natural convection
Non-uniform heating
Penalty finite element method
Square cavity

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/j.ijheatmasstransfer.2006.10.010

Cite this

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title = "Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side wall(s)",

abstract = "In this paper natural convection flows in a square cavity filled with a porous matrix has been investigated numerically when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the porous medium. Penalty finite element method with bi-quadratic rectangular elements is used to solve the non-dimensional governing equations. Numerical results are presented for a range of parameters (Rayleigh number Ra, 103 ≤ Ra ≤ 106, Darcy number Da, 10-5 ≤ Da ≤ 10-3, and Prandtl number Pr, 0.2 ≤ Pr ≤ 100) in terms of stream functions and isotherm contours, and local and average Nusselt numbers.",

keywords = "Natural convection, Non-uniform heating, Penalty finite element method, Square cavity",

author = "M. Sathiyamoorthy and Tanmay Basak and S. Roy and I. Pop",

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doi = "10.1016/j.ijheatmasstransfer.2006.10.010",

language = "English",

volume = "50",

pages = "1892--1901",

journal = "International Journal of Heat and Mass Transfer",

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}

TY - JOUR

T1 - Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side wall(s)

AU - Sathiyamoorthy, M.

AU - Basak, Tanmay

AU - Roy, S.

AU - Pop, I.

PY - 2007/5

Y1 - 2007/5

N2 - In this paper natural convection flows in a square cavity filled with a porous matrix has been investigated numerically when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the porous medium. Penalty finite element method with bi-quadratic rectangular elements is used to solve the non-dimensional governing equations. Numerical results are presented for a range of parameters (Rayleigh number Ra, 103 ≤ Ra ≤ 106, Darcy number Da, 10-5 ≤ Da ≤ 10-3, and Prandtl number Pr, 0.2 ≤ Pr ≤ 100) in terms of stream functions and isotherm contours, and local and average Nusselt numbers.

AB - In this paper natural convection flows in a square cavity filled with a porous matrix has been investigated numerically when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the porous medium. Penalty finite element method with bi-quadratic rectangular elements is used to solve the non-dimensional governing equations. Numerical results are presented for a range of parameters (Rayleigh number Ra, 103 ≤ Ra ≤ 106, Darcy number Da, 10-5 ≤ Da ≤ 10-3, and Prandtl number Pr, 0.2 ≤ Pr ≤ 100) in terms of stream functions and isotherm contours, and local and average Nusselt numbers.

KW - Natural convection

KW - Non-uniform heating

KW - Penalty finite element method

KW - Square cavity

UR - https://www.scopus.com/pages/publications/33847295614

U2 - 10.1016/j.ijheatmasstransfer.2006.10.010

DO - 10.1016/j.ijheatmasstransfer.2006.10.010

M3 - Article

AN - SCOPUS:33847295614

SN - 0017-9310

VL - 50

SP - 1892

EP - 1901

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 9-10

ER -

Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side wall(s)

Abstract

Keywords

ASJC Scopus subject areas

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