Details

The laminar velocity profile of a power-law fluid is given by [1]

where and are power-law parameters, is the distance between the parallel plates, is the vertical coordinate and is the horizontal pressure gradient.

The energy and mass conservation equations, assuming that all physical properties are constant and that viscous dissipation and axial heat conduction effects are negligible, are:

,

with

,

,

and

.

,

,

,

.

The results show that the temperature and conversion profiles are parabolic and become progressively blunter as the value of decreases below unity and sharper for .

Reference

[1] R. B. Bird, W. E. Stewart and E. N. Lightfoot, Transport Phenomena, 2nd ed., New York: John Wiley & Sons, Inc., 2002.