Steady natural convection flows in a square cavity with linearly heated side wall(s)

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

doi:10.1016/j.ijheatmasstransfer.2006.06.019

Steady natural convection flows in a square cavity with 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

115 Scopus citations

Abstract

The present numerical study deals with natural convection flow in a closed square cavity when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Non-linear coupled PDEs governing the flow have been solved by penalty finite element method with bi-quadratic rectangular elements. Numerical results are obtained for various values of Rayleigh number (Ra) (10³ ≤ Ra ≤ 10⁵) and Prandtl number (Pr) (0.7 ≤ Pr ≤ 10). Results are presented in the form of streamlines, isotherm contours, local Nusselt number and the average Nusselt as a function of Rayleigh number.

Original language	English
Pages (from-to)	766-775
Number of pages	10
Journal	International Journal of Heat and Mass Transfer
Volume	50
Issue number	3-4
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2006.06.019
State	Published - Feb 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.2006.06.019

Cite this

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title = "Steady natural convection flows in a square cavity with linearly heated side wall(s)",

abstract = "The present numerical study deals with natural convection flow in a closed square cavity when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Non-linear coupled PDEs governing the flow have been solved by penalty finite element method with bi-quadratic rectangular elements. Numerical results are obtained for various values of Rayleigh number (Ra) (103 ≤ Ra ≤ 105) and Prandtl number (Pr) (0.7 ≤ Pr ≤ 10). Results are presented in the form of streamlines, isotherm contours, local Nusselt number and the average Nusselt as a function of Rayleigh number.",

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

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TY - JOUR

T1 - Steady natural convection flows in a square cavity with linearly heated side wall(s)

AU - Sathiyamoorthy, M.

AU - Basak, Tanmay

AU - Roy, S.

AU - Pop, I.

PY - 2007/2

Y1 - 2007/2

N2 - The present numerical study deals with natural convection flow in a closed square cavity when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Non-linear coupled PDEs governing the flow have been solved by penalty finite element method with bi-quadratic rectangular elements. Numerical results are obtained for various values of Rayleigh number (Ra) (103 ≤ Ra ≤ 105) and Prandtl number (Pr) (0.7 ≤ Pr ≤ 10). Results are presented in the form of streamlines, isotherm contours, local Nusselt number and the average Nusselt as a function of Rayleigh number.

AB - The present numerical study deals with natural convection flow in a closed square cavity when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Non-linear coupled PDEs governing the flow have been solved by penalty finite element method with bi-quadratic rectangular elements. Numerical results are obtained for various values of Rayleigh number (Ra) (103 ≤ Ra ≤ 105) and Prandtl number (Pr) (0.7 ≤ Pr ≤ 10). Results are presented in the form of streamlines, isotherm contours, local Nusselt number and the average Nusselt as a function of Rayleigh number.

KW - Natural convection

KW - Non-uniform heating

KW - Penalty finite element method

KW - Square cavity

UR - https://www.scopus.com/pages/publications/33845384571

U2 - 10.1016/j.ijheatmasstransfer.2006.06.019

DO - 10.1016/j.ijheatmasstransfer.2006.06.019

M3 - Article

AN - SCOPUS:33845384571

SN - 0017-9310

VL - 50

SP - 766

EP - 775

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 3-4

ER -

Steady natural convection flows in a square cavity with linearly heated side wall(s)

Abstract

Keywords

ASJC Scopus subject areas

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