Fluid flow in microtubes with axial conduction including rarefaction and viscous dissipation

Cetin B., GÜVENÇ YAZICIOĞLU A., KAKAÇ S.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, vol.35, no.5, pp.535-544, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 5
  • Publication Date: 2008
  • Doi Number: 10.1016/j.icheatmasstransfer.2008.01.003
  • Journal Name: INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.535-544
  • Keywords: microtube, slip flow, Knudsen number, axial conduction, viscous dissipation, EXTENDED GRAETZ PROBLEM, PRESSURE-DRIVEN MICROFLOWS, LAMINAR FORCED-CONVECTION, HEAT-TRANSFER, SLIP-FLOW, NUMBER, MICROCHANNELS, CHANNELS, REGION
  • Middle East Technical University Affiliated: Yes

Abstract

Graetz problem inside the microtube is revisited considering rarefaction effect, viscous dissipation term and axial conduction in the fluid for uniform wall temperature boundary condition in the slip flow regime. The flow is assumed to be hydrodynamically fully developed, thermally developing, and the velocity profile is solved analytically. The temperature field is determined by the numerical solution of the energy equation. The rarefaction effect is imposed to the problem via velocity-slip and temperature jump boundary conditions. The local and fully developed Nu numbers are obtained in terms of dimensionless parameters; Pe, Kn, Br, K. Fully developed Nu numbers and the thermal entrance length are found to increase by the presence of the finite axial conduction. (C) 2008 Elsevier Ltd. All rights reserved.