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Evaluation of Nusselt Number for a Flow in a Microtube With Second-Order Model Including Thermal Creep

[+] Author Affiliations
Barbaros Çetin

Bilkent University, Ankara, Turkey

Paper No. ICNMM2012-73321, pp. 251-256; 6 pages
doi:10.1115/ICNMM2012-73321
From:
  • ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 Fluids Engineering Division Summer Meeting
  • ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels
  • Rio Grande, Puerto Rico, USA, July 8–12, 2012
  • Conference Sponsors: Heat Transfer Division, Fluids Engineering Division
  • ISBN: 978-0-7918-4479-3
  • Copyright © 2012 by ASME

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

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