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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. ; Wolf, M. ; 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)
Artikel, Bibliographie

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 1997
Autor(en): Weigand, B. ; Wolf, M. ; Beer, Hans
Art des Eintrags: Bibliographie
Titel: Heat transfer in laminar and turbulent flows in the thermal entrance region of concentric annuli: Axial heat conduction effects in the fluid
Sprache: Englisch
Publikationsjahr: 1 Januar 1997
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Heat and Mass Transfer
Jahrgang/Volume einer Zeitschrift: 33
(Heft-)Nummer: 1-2
URL / URN: http://dx.doi.org/10.1007/s002310050162
Kurzbeschreibung (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.

Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet für Technische Thermodynamik (TTD)
Hinterlegungsdatum: 26 Feb 2015 16:53
Letzte Änderung: 05 Aug 2019 13:05
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