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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