Laminar forced convection in a circular tube with constant heat flux and slip flow
Document Type
Article
Publication Date
10-1-1997
Abstract
An analytical solution to the problem of laminar gas flow in microtubes with a constant heat flux boundary condition at the wall is presented. The microtube diameter is small enough that the Knudsen number becomes an important parameter; thus, both a slip flow hydrodynamic condition and a temperature jump thermal condition are assumed at the wall. The fluid is assumed to be hydrodynamically fully developed at the tube entrance. An indirect solution method utilizes the solution for a previously reported isothermal wall problem. The results indicate that the fully developed Nusselt number decreases with Knudsen number. For instance, with a Knudsen number of 0.04, the Nusselt number for fully developed flow is reduced 14% over that obtained for a nonslip boundary condition. The reduction is strongly influenced by the increased temperature jump as Knudsen number increases. © 1997 Taylor & Francis Group, LLC.
Publication Title
Microscale Thermophysical Engineering
Recommended Citation
Ameel, T.,
Wang, X.,
Barron, R.,
&
Warrington, R.
(1997).
Laminar forced convection in a circular tube with constant heat flux and slip flow.
Microscale Thermophysical Engineering,
1(4), 303-320.
http://doi.org/10.1080/108939597200160
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9430