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The extended Graetz problem with piecewise constant wall heat flux for pipe and channel flows

Weigand, B. and Kanzamar, M. and Beer, Hans (2001):
The extended Graetz problem with piecewise constant wall heat flux for pipe and channel flows.
In: International Journal of Heat and Mass Transfer, 44 (20), pp. 3941-3952. ISSN 00179310,
[Article]

Abstract

Heat transfer in the thermal entrance region of a pipe or a parallel plate channel has been analysed for laminar and turbulent internal flow taking into account axial heat conduction effects in the fluid. The present paper shows an analytical solution for the problem of a piecewise uniform wall heat flux. The obtained exact analytical solutions for the extended Graetz problem are as simple and efficient to compute as the related solutions of the parabolic problem. The obtained results show the effect of axial heat conduction in the fluid for a semi-infinite as well as for a finite length of the heated sections.

Item Type: Article
Erschienen: 2001
Creators: Weigand, B. and Kanzamar, M. and Beer, Hans
Title: The extended Graetz problem with piecewise constant wall heat flux for pipe and channel flows
Language: English
Abstract:

Heat transfer in the thermal entrance region of a pipe or a parallel plate channel has been analysed for laminar and turbulent internal flow taking into account axial heat conduction effects in the fluid. The present paper shows an analytical solution for the problem of a piecewise uniform wall heat flux. The obtained exact analytical solutions for the extended Graetz problem are as simple and efficient to compute as the related solutions of the parabolic problem. The obtained results show the effect of axial heat conduction in the fluid for a semi-infinite as well as for a finite length of the heated sections.

Journal or Publication Title: International Journal of Heat and Mass Transfer
Journal volume: 44
Number: 20
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD)
Date Deposited: 26 Feb 2015 16:52
Official URL: http://dx.doi.org/10.1016/S0017-9310(01)00014-X
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