Homework Set #5:
Due date: 10/29/07, by 11:00 am.
Problem #1:
Solve Problem 3B.1 in Chapter 3 of BSL.
Problem #2
:
The annular space between two coaxial long circular pipes is filled with a viscous, Newtonian
fluid. The radii of the inner and outer wetted surfaces are
κ
R and R, respectively. The inner pipe
is rotating with an angular velocity of
Ω
. Determine the velocity profile of the fluid and the
torque required to keep the inner pipe rotating, using the equations of motion and continuity. For
simplicity it is assumed that there is no flow in the axial direction of the pipes.
Problem #3:
a)
Derive a dimensionless partial differential equation of motion describing unsteadystate
flow of an incompressible fluid in a circular pipe, based on the following dimensionless
variables
max
/
=
/
z
uuu
r
r
R
=
±±
where
u
max
and
R
are the maximum velocity of the fluid at steady state and radius of the
pipe, respectively.
b)
The solution of the dimensionless equation of motion obtained in (a) is given graphically
in the figure below. Consider a heavy oil, with a kinematic viscosity of 3.45 10
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 dicarlo
 0.7 cm, long circular pipes, diameter production tubing, 0.8 103 kg

Click to edit the document details