SLIP-FLOW IN RECTANGULAR MICROTUBES

Microscale fluid dynamics has received intensive interest due to the e xtraordinary advances in electronic device miniaturization, where the peaks of temperature from hotspots must be reduced by a coolant flowin g in a microchannel. One of the most meaningful microscale effects is the emergence of slip flow. The present analysis is concerned with the 2-D velocity distribution of steady-state, hydrodynamically der elope d, laminar slip flow, for Newtonian fluids in rectangular ducts. The s olutions describing velocity profiles, friction factors, shear stresse s, momentum flux, and kinetic energy correction factors are derived re sorting to the integral transform technique. The results are shown as functions of the aspect ratio and the Knudsen number, in the limit of Kn --> 0 they reproduce perfectly the well-known results of macroscale fluid dynamics.