Analytical solution for transient laminar fully developed free convection in vertical channels

M. A. Al-Nimr; M. A.I. El-Shaarawi

doi:10.1007/s002310050017

Analytical solution for transient laminar fully developed free convection in vertical channels

M. A. Al-Nimr, M. A.I. El-Shaarawi^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

13 Scopus citations

Abstract

Using Green's function method, analytical solutions for transient fully developed natural convection in open-ended vertical circular and two-parallel-plate channels are presented. Different fundamental boundary conditions for these two configurations have been investigated and the corresponding fundamental solutions are obtained. These fundamental solutions may be used to obtain solutions satisfying more general thermal boundary conditions. In terms of the obtained unsteady temperature and velocity profiles, the transient volumetric flow rate, mixing cup emperature and local nusselt number are estimated.

Original language	English
Pages (from-to)	241-248
Number of pages	8
Journal	Heat and Mass Transfer
Volume	30
Issue number	4
DOIs	https://doi.org/10.1007/s002310050017
State	Published - Apr 1995

ASJC Scopus subject areas

Condensed Matter Physics
Fluid Flow and Transfer Processes

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10.1007/s002310050017

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title = "Analytical solution for transient laminar fully developed free convection in vertical channels",

abstract = "Using Green's function method, analytical solutions for transient fully developed natural convection in open-ended vertical circular and two-parallel-plate channels are presented. Different fundamental boundary conditions for these two configurations have been investigated and the corresponding fundamental solutions are obtained. These fundamental solutions may be used to obtain solutions satisfying more general thermal boundary conditions. In terms of the obtained unsteady temperature and velocity profiles, the transient volumetric flow rate, mixing cup emperature and local nusselt number are estimated.",

author = "Al-Nimr, \{M. A.\} and El-Shaarawi, \{M. A.I.\}",

year = "1995",

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doi = "10.1007/s002310050017",

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pages = "241--248",

journal = "Heat and Mass Transfer",

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T1 - Analytical solution for transient laminar fully developed free convection in vertical channels

AU - Al-Nimr, M. A.

AU - El-Shaarawi, M. A.I.

PY - 1995/4

Y1 - 1995/4

N2 - Using Green's function method, analytical solutions for transient fully developed natural convection in open-ended vertical circular and two-parallel-plate channels are presented. Different fundamental boundary conditions for these two configurations have been investigated and the corresponding fundamental solutions are obtained. These fundamental solutions may be used to obtain solutions satisfying more general thermal boundary conditions. In terms of the obtained unsteady temperature and velocity profiles, the transient volumetric flow rate, mixing cup emperature and local nusselt number are estimated.

AB - Using Green's function method, analytical solutions for transient fully developed natural convection in open-ended vertical circular and two-parallel-plate channels are presented. Different fundamental boundary conditions for these two configurations have been investigated and the corresponding fundamental solutions are obtained. These fundamental solutions may be used to obtain solutions satisfying more general thermal boundary conditions. In terms of the obtained unsteady temperature and velocity profiles, the transient volumetric flow rate, mixing cup emperature and local nusselt number are estimated.

UR - https://www.scopus.com/pages/publications/0002911833

U2 - 10.1007/s002310050017

DO - 10.1007/s002310050017

M3 - Article

AN - SCOPUS:0002911833

SN - 0947-7411

VL - 30

SP - 241

EP - 248

JO - Heat and Mass Transfer

JF - Heat and Mass Transfer

IS - 4

ER -

Analytical solution for transient laminar fully developed free convection in vertical channels

Abstract

ASJC Scopus subject areas

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