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Heat transfer in laminar and turbulent flows in the thermal entrance region of concentric annuli: Axial heat conduction effects in the fluid

Weigand, B. and Wolf, M. and Beer, Hans (1997):
Heat transfer in laminar and turbulent flows in the thermal entrance region of concentric annuli: Axial heat conduction effects in the fluid.
In: Heat and Mass Transfer, 33 (1-2), pp. 67-80. ISSN 0947-7411,
[Article]

Abstract

The present analytical study investigates the influence of axial heat conduction within the flow on the heat transfer in the thermal entrance region of a concentric annular duct with laminar and turbulent internal flow. The solution is based on a decomposition of the elliptic energy equation into a pair of first order partial differential equations. By using a new defined vector norm it is possible to obtain a selfadjoint eigenvalue problem for the extended Graetz problem even though the original convective diffusion operator is non-selfadjoint. The obtained exact analytical solutions for the Graetz problem with axial heat conduction are as simple to compute as the related solutions of the parabolic problem.

Item Type: Article
Erschienen: 1997
Creators: Weigand, B. and Wolf, M. and Beer, Hans
Title: Heat transfer in laminar and turbulent flows in the thermal entrance region of concentric annuli: Axial heat conduction effects in the fluid
Language: English
Abstract:

The present analytical study investigates the influence of axial heat conduction within the flow on the heat transfer in the thermal entrance region of a concentric annular duct with laminar and turbulent internal flow. The solution is based on a decomposition of the elliptic energy equation into a pair of first order partial differential equations. By using a new defined vector norm it is possible to obtain a selfadjoint eigenvalue problem for the extended Graetz problem even though the original convective diffusion operator is non-selfadjoint. The obtained exact analytical solutions for the Graetz problem with axial heat conduction are as simple to compute as the related solutions of the parabolic problem.

Journal or Publication Title: Heat and Mass Transfer
Journal volume: 33
Number: 1-2
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD)
Date Deposited: 26 Feb 2015 16:53
Official URL: http://dx.doi.org/10.1007/s002310050162
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