**OCEN 462 Homework Assignments**

*All homework is due at the beginning of the
class*

**HW 1: **2.92,
2.93, 2.94, 2.96, 2.98, 2.101, 4.5*, 4.15, 4.25 **
Due February 6**
**
Solution**

*
Plot streamlines using computer.

**HW 2: **6.1,
6.4, 6.5, 6.6, 6.7, 6.8, 6.11, 6.14, 6.15, 6.19 **
Due February ****
13 **
**
Solution**

**HW 3: **6.21,
6.22, 6.25*, 6.28, 6.30,
6.31, 6.32
**
Due February 20 **
**
Solution****
**
* plot streamlines with the values
of stream function = 0, 5, and 10 using computer (no
hand drawing) and determine the direction of flow.

**HW 4:** 6.34,
6.36, 6.38, 6.39, 6.40, 6.45, 6.46
**
Due February 27 **
**
Solution**

**HW 5: **6.47,
6.49,
6.51, 6.54, 6.57, 6.60,
6.61, 6.63 **
Due March 11 (Wednesday) **
**
Solution**

__Ideal Flow
Machine Problem I1:__

Run "Ideal
Flow Machine" and plot streamlines
for Problem 6.47:

Apply strength of free stream = 1 and strength of source = -6 (sink).

From the streamlines,

Show there exists a stagnation point.

Identify the streamline above which the flow will escape
from being sucked into the sink.

I__deal Flow Machine Problem I2:__

Run "Ideal
Flow Machine" and plot streamlines:

Apply strength of free stream = 1, strength of doublet = -6

(a) Draw streamlines with no vortex. Show there exist two
stagnation points at angles 0 and 180 degree.

(b) Add a vortex with strength = 6, draw streamlines and identify
the new stagnation point(s)

Is the stagnation point(s) on the surface of the cylinder?

(c) Add a vortex with strength = 18, draw streamlines and identify
the new stagnation point(s).

Is the stagnation point(s) on the surface of the cylinder?

__Ideal Flow Machine Problem I3:__

Run "Ideal Flow Machine" and plot streamlines:

Apply strength of source = 5 with one source located at (0, 2) and
another source at (0, -2)

Draw streamlines and show there exists a "wall" along the x axis.

**HW 6: **6.67,
6.69, 6.72, 6.73, 6.74, 6.76, 6.77, 6.80, 6.90 **
Due March 25 (Wednesday) **
**
Solution**

**HW 7: **8.2, 8.9,
8.16, 8.19, 8.26, 8.27, 8.33, 8.34
**
Due April 1 (Wednesday) **
**
Solution**

**HW 8:**
10.3, 10.6,
10.13*,10.14*, 10.15, 10.16
**
Due April 8 (Wednesday) **
**
Solution**

* plot using computer (no
hand plotting)

**HW 9:**
10.30, 10.34, 10.38, 10.44,
10.51, 10.54, 10.60, 10.66, 10.69
**
Due April 24 **
**
Solution**

**HW 10: **10.73,
10.77, 10.80, 10.88, 10.89, 10.91, 10.93
**
Due ****
May 1 **
**
Solution**