Slip-flow heat transfer in microtubes with axial conduction and viscous dissipation - An extended Graetz problem

被引：49

作者：

Cetin, Barbaros ^{[1
]}

Yazicioglu, Almila Guvenc ^{[2
]}

Kakac, Sadik ^{[3
]}

机构：

[1] Vanderbilt Univ, Dept Mech Engn, Nashville, TN 37235 USA

[2] Middle E Tech Univ, Dept Mech Engn, TR-06531 Ankara, Turkey

[3] TOBB Univ Econ & Technol, Dept Mech Engn, TR-06560 Ankara, Turkey

来源：

INTERNATIONAL JOURNAL OF THERMAL SCIENCES | 2009年 / 48卷 / 09期

关键词：

Microtube; Slip-flow; Heat transfer; Graetz problem; NUMBER; RAREFACTION;

D O I：

10.1016/j.ijthermalsci.2009.02.002

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This study is an extension of the Graetz problem to include the rarefaction effect, viscous dissipation term and axial conduction with constant-wall-heat-flux thermal boundary condition. The energy equation is solved analytically by using general eigenfunction expansion. The temperature distribution and the local Nusselt number are determined in terms of confluent hypergeometric functions. The effects of the rarefaction, axial conduction and viscous dissipation on the local Nusselt number are discussed in terms of dimensionless parameters such as the Knudsen number, Peclet number and Brinkman number. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：1673 / 1678

页数：6

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