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Heat Transfer Research
Fator do impacto: 0.404 FI de cinco anos: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Imprimir: 1064-2285
ISSN On-line: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018025779
pages 107-123

EXTENDED GRAETZ PROBLEM WITH BRINKMAN EXTENSION FOR LAMINAR VISCOUS FLOW IN ANNULI

Aidar Kadyirov
Institute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences
E. K. Vachagina
Federal Research Center "Kazan Scientific Center of the Russian Academy of Sciences", 2/31 Lobachevsky Str., P.O. Box 261, Kazan, 420111, Russia

RESUMO

The Fourier method is used to solve the extended Graetz problem for laminar flow in annuli by including the effects of axial conduction in both the upstream and the downstream directions. The exact solution is obtained under unequal constant wall temperatures and including the effects of viscous dissipation. The results are compared with other well-known data. The eigenvalues and asymptotic Nusselt numbers are derived as a function of the geometric characteristic and Peclet number as parameters.


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