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.

            Ideal 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