Numerical simulation for conjugate problem of natural convection on both sides of a vertical wall

Han-Taw Chen, Shiuh Ming Chang

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The present analysis is presented to predict the heat transfer rate between two natural convection systems at different temperatures separated by a vertical plate, where the effects of one-dimensional heat conduction along the plate and transverse heat conduction will be discussed. Thus, the countercurrent boundary layer flow is formed on the two sides. Governing boundary layer equations with their corresponding boundary conditions for these two natural convection systems are cast into dimensionless forms by using the non-similarity transformation. The resulting system of equations is solved by using the finite difference approximation for the heat conduction equation and the local non-similarity method in conjunction with the Nachtsheim-Swigert iteration scheme for boundary layer equations. Excellent agreement between the present results predicted by using the approximation of heat conduction along the plate and reliable experimental data is obtained. This implies that the present analysis provides accurate prediction for such problems.

Original languageEnglish
Pages (from-to)383-390
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Volume39
Issue number2
DOIs
Publication statusPublished - 1996 Jan 1

Fingerprint

Natural convection
Heat conduction
free convection
conductive heat transfer
boundary layer equations
Computer simulation
Boundary layers
simulation
boundary layer flow
Boundary layer flow
approximation
iteration
casts
heat transfer
Boundary conditions
boundary conditions
Heat transfer
predictions
Temperature
temperature

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

@article{08a66ed02b0147b9b8ebb7a02f4fab40,
title = "Numerical simulation for conjugate problem of natural convection on both sides of a vertical wall",
abstract = "The present analysis is presented to predict the heat transfer rate between two natural convection systems at different temperatures separated by a vertical plate, where the effects of one-dimensional heat conduction along the plate and transverse heat conduction will be discussed. Thus, the countercurrent boundary layer flow is formed on the two sides. Governing boundary layer equations with their corresponding boundary conditions for these two natural convection systems are cast into dimensionless forms by using the non-similarity transformation. The resulting system of equations is solved by using the finite difference approximation for the heat conduction equation and the local non-similarity method in conjunction with the Nachtsheim-Swigert iteration scheme for boundary layer equations. Excellent agreement between the present results predicted by using the approximation of heat conduction along the plate and reliable experimental data is obtained. This implies that the present analysis provides accurate prediction for such problems.",
author = "Han-Taw Chen and Chang, {Shiuh Ming}",
year = "1996",
month = "1",
day = "1",
doi = "10.1016/0017-9310(95)00130-2",
language = "English",
volume = "39",
pages = "383--390",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "2",

}

Numerical simulation for conjugate problem of natural convection on both sides of a vertical wall. / Chen, Han-Taw; Chang, Shiuh Ming.

In: International Journal of Heat and Mass Transfer, Vol. 39, No. 2, 01.01.1996, p. 383-390.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Numerical simulation for conjugate problem of natural convection on both sides of a vertical wall

AU - Chen, Han-Taw

AU - Chang, Shiuh Ming

PY - 1996/1/1

Y1 - 1996/1/1

N2 - The present analysis is presented to predict the heat transfer rate between two natural convection systems at different temperatures separated by a vertical plate, where the effects of one-dimensional heat conduction along the plate and transverse heat conduction will be discussed. Thus, the countercurrent boundary layer flow is formed on the two sides. Governing boundary layer equations with their corresponding boundary conditions for these two natural convection systems are cast into dimensionless forms by using the non-similarity transformation. The resulting system of equations is solved by using the finite difference approximation for the heat conduction equation and the local non-similarity method in conjunction with the Nachtsheim-Swigert iteration scheme for boundary layer equations. Excellent agreement between the present results predicted by using the approximation of heat conduction along the plate and reliable experimental data is obtained. This implies that the present analysis provides accurate prediction for such problems.

AB - The present analysis is presented to predict the heat transfer rate between two natural convection systems at different temperatures separated by a vertical plate, where the effects of one-dimensional heat conduction along the plate and transverse heat conduction will be discussed. Thus, the countercurrent boundary layer flow is formed on the two sides. Governing boundary layer equations with their corresponding boundary conditions for these two natural convection systems are cast into dimensionless forms by using the non-similarity transformation. The resulting system of equations is solved by using the finite difference approximation for the heat conduction equation and the local non-similarity method in conjunction with the Nachtsheim-Swigert iteration scheme for boundary layer equations. Excellent agreement between the present results predicted by using the approximation of heat conduction along the plate and reliable experimental data is obtained. This implies that the present analysis provides accurate prediction for such problems.

UR - http://www.scopus.com/inward/record.url?scp=0029731704&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029731704&partnerID=8YFLogxK

U2 - 10.1016/0017-9310(95)00130-2

DO - 10.1016/0017-9310(95)00130-2

M3 - Article

AN - SCOPUS:0029731704

VL - 39

SP - 383

EP - 390

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 2

ER -