SECTION:
NAME:
CBE 320
October 30 & 31, 2006
Transport Phenomena
Exam II
Part A: Short Answer
1.
(5 pts.) A Newtonian fluid (
ρ
= 800
kg/m
3
) flows through a horizontal, 1 cm diameter circular pipe that is 1 m
long. The pressure drop across this pipe is
2
×
10
5
Pa, and the average velocity is 0.5 m/s. What is the value of
the friction factor?
2.
(5 pts.) Given the time averaged velocity profile,
¯
v
z
(
r
)
, for turbulent flow of a Newtonian fluid in a circular
tube, write an expression for the timeaveraged viscous force in the
z
direction on the inner tube wall in terms
of this profile.
1
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3.
(5 pts.) The following momentum balance equation was derived in Ch. 3 of BSL. Label each term, providing a
description of the physical meaning of each term.
∂
∂t
(
ρ
v
) =
∇ ·
(
ρ
vv
)
 ∇
p
 ∇ ·
τ
+
ρ
g
4.
(5 pts.) A magnetohydrodynamic pump can drive a fluid by exerting a body force
K
∇
(
H
·
H
)
[force/volume]
on the fluid, where
K
is a material parameter, and
H
is the magnetic field. Assuming the fluid is incompressible
and Newtonian with constant
ρ
and
μ
, write down the equation of motion for this situation in differential form.
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 Fall '08
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 Fluid Dynamics, vz vz vz

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