Chemical Reaction in a Non-Newtonian Fluid

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration illustrates a variation of the Graetz problem [1]. A chemical reaction takes place in a non-Newtonian power-law fluid that is in laminar flow in the channel between two parallel plates. In the inlet region
, the fluid temperature
and the concentration
of component
are uniform; in the region
, the wall temperature
and the concentration
of component
are maintained constant.
Contributed by: Clay Gruesbeck (September 2018)
Open content licensed under CC BY-NC-SA
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.
Snapshots
Permanent Citation