Analysis of micro-graetz problem in a microtube


AYDIN O., Avci M.

NANOSCALE AND MICROSCALE THERMOPHYSICAL ENGINEERING, vol.10, no.4, pp.345-358, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2006
  • Doi Number: 10.1080/15567260601009197
  • Title of Journal : NANOSCALE AND MICROSCALE THERMOPHYSICAL ENGINEERING
  • Page Numbers: pp.345-358

Abstract

A theoretical analysis is presented for the problem of hydrodynamically developed, thermally developing, steady, laminar forced convective heat transfer of a Newtonian fluid in the entrance region of a microtube. The viscous dissipation effect, the velocity slip, and the temperature jump at the wall are taken into consideration. Two different thermal boundary conditions are considered. the constant heat flux (H1-type) and the constant wall temperature (T-type). Either wall heating (the fluid is heated) or wall cooling (the fluid is cooled) is considered. The downstream variation and the asymptotic value of the Nusselt number are determined as a function of the Brinkman number and the Knudsen number. For softie limiting cases, the results are compared with those existing in the literature and an excellent agreement is observed.