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

Date

2009-09-01

Author

Cetin, Barbaros
Güvenç Yazıcıoğlu, Almıla
KAKAÇ, SADIK

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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.

Subject Keywords

General Engineering, Condensed Matter Physics

URI

https://hdl.handle.net/11511/49136

Journal

INTERNATIONAL JOURNAL OF THERMAL SCIENCES

DOI

https://doi.org/10.1016/j.ijthermalsci.2009.02.002

Collections

Department of Mechanical Engineering, Article

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Citation Formats

B. Cetin, A. Güvenç Yazıcıoğlu, and S. KAKAÇ, “Slip-flow heat transfer in microtubes with axial conduction and viscous dissipation - An extended Graetz problem,” INTERNATIONAL JOURNAL OF THERMAL SCIENCES, pp. 1673–1678, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49136.