HW#7 Solutions
Solutions to proofs are available in the textbook.
Problem 5.60
[Difficulty: 4]
U
y
x
Given:
Flow in boundary layer
Find:
Expression for particle acceleration a x; Plot acceleration and find maximum at x = 0.8 m
Solution:
Basic equations
u
Problem 5.1
[Difficulty: 1]
The list of velocity fields provided above
Given:
Which of these fields possibly represent two-dimensional, incompressible flow
Find:
We will check these flow fields against the continuity equation
Solution:
Governing
u v w 0 (
Problem 4.33
Given:
Data on flow down an inclined plane
Find:
Find u max
[Difficulty: 2]
Solution:
Basic equation
mflow = u dA
Assumptions: 1) Steady flow 2) Incompressible flow
Evaluating at 1 and 2
h
h
0
0
2
2
g sin ( ) w
g sin ( )
y
mflow =
h y