Analytical Solution of the Thermal Entrance Heat Transfer Problem for Viscous Flow in Annulus

被引：2

作者：

Vachagina, E. K. ^{[1
]}

Kadyirov, A. I. ^{[1
]}

机构：

[1] Russian Acad Sci, Kazan Sci Ctr, Lobachevsky St 2-31,POB 190, Kazan 420111, Russia

来源：

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 2016年 / 138卷 / 07期

关键词：

heat transfer; thermal entrance region; annuli; viscous dissipation; analytical solution; separation of variables method; FLUID;

D O I：

10.1115/1.4033093

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The Graetz-Nusselt problem with Brinkman extension is considered for steady-state laminar Newtonian flow in annuli. To solve the problem, a separation of variables method is used. In the limiting cases, the eigenvalues are in full agreement with the eigenvalues corresponding to flat channel and circular pipe. Useful formulas are represented to calculate the length of the thermal entrance region and Nusselt numbers in annuli.

引用

页数：4

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