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      Evaluation of nusselt number for a flow in a microtube with second-order model including thermal creep

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      Author(s)
      Çetin, Barbaros
      Date
      2012-07
      Source 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 Paper
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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 solutions
      Constant 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
      Permalink
      http://hdl.handle.net/11693/28091
      Published Version (Please cite this version)
      http://dx.doi.org/10.1115/ICNMM2012-73321
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      • Department of Mechanical Engineering 288
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