Evaluation of nusselt number for a flow in a microtube with second-order model including thermal creep
Author(s)
Date
2012-07Source Title
Proceedings of the ASME 2012 10th International Conference on Nanochannels, Microchannels and Minichannels, ICNMM 2012
Publisher
ASME
Pages
251 - 256
Language
English
Type
Conference PaperItem Usage Stats
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Abstract
In this paper, Nusselt number for a flow in a microtube is determined analytically with a constant wall heat flux thermal boundary condition. The flow assumed to be incompressible, laminar, hydrodynamically and thermally fully-developed. The thermo-physical properties of the fluid are assumed to be constant. The effect of rarefaction, viscous dissipation, axial conduction, which are important at the microscale, are included in the analysis. For the implementation of the rarefaction effect, two different second-order slip models are used for the slip-flow and temperature-jump boundary conditions together with the thermal creep at the wall. Closed form solutions for the fully-developed temperature profile and Nusselt number are derived as a function of Knudsen number, Brinkman number and Peclet number. Copyright © 2012 by ASME.
Keywords
Closed form solutionsConstant wall heat flux
Second-order models
Second-order slip models
Temperature profiles
Thermal boundary conditions
Thermo-physical property
Viscous dissipation
Boundary conditions
Creep
Heat flux
Nusselt number
Microchannels