(All parts as a Project or one part as a problem.) Solve for the 2D flow in channels of various...

(All parts as a Project or one part as a
problem.) Solve for the 2D flow in channels of various shapes as shown in
Figure 10.27.

(a) In the sharp bend, the channel is 1
dimensionless unit wide, and each leg is 3 units long.

(b) In the smooth bend, the radius along
the centerline is one gap width.

(c) In the smooth bend, long radius, the
radius is 1.5 times the gap size.
(d) In the T, each leg is 3 units long. For all cases use a fully developed
flow profile for a channel at the inlet with a dimensionless average flow rate
of 1.0.

Use Comsol Multiphysics in a nondimensional
form with a density of 0.001 (to get basically low Reynolds number) to
determine the pressure drop; then calculate it for flow in a straight channel
that is as long as the centerline distance of the device. Subtract the straight
channel result from the total to obtain the excess pressure drop. Comment. What
is K_{L}? For one of the cases recalculate the pressure drop with a
dimensional density of 1 (Re = 1).