THERMAL SCIENCE

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Barbaros Cetin

,

Ozgur Bayer

EVALUATION OF NUSSELT NUMBER FOR A FLOW IN A MICROTUBE USING SECOND-ORDER SLIP MODEL

ABSTRACT
In this paper, the fully-developed temperature profile and corresponding Nusselt value is determined analytically for a gaseous flow in a microtube with a thermal boundary condition of constant wall heat flux. The flow assumed to be laminar, and hydrodynamically and thermally fully developed. The fluid is assumed to be constant property and incompressible. The effect of rarefaction, viscous dissipation and axial conduction, which are important at the microscale, are included in the analysis. Second-order slip model is used for the slip-flow and temperature jump boundary conditions for the implementation of the rarefaction effect. Closed form solutions for the temperature field and the fully-developed Nusselt number is derived as a function of Knudsen number, Brinkman number and Peclet number.
KEYWORDS
microtube, rarefaction, second-order slip model, viscous dissipation, axial conduction
PAPER SUBMITTED: 2010-07-01
PAPER REVISED: 2010-09-14
PAPER ACCEPTED: 2010-11-11
DOI REFERENCE: https://doi.org/10.2298/TSCI11S1103C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 1, PAGES [S103 - S109]
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Evaluation of Nusselt number for a flow in a microtube using second-order slip model

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