MER332 Fluid Mechanics II
Spring 2010
HW #9 Due Monday May 3, 2010 at NOON.
Problem 1. A two dimensional source is placed in a uniform flow of velocity of 2 m/s in the xdirection. The volume flow rate issuing from the source is 4 m3/s per meter.
(a) Find the location of the stagnation point.
(b) Sketch the body shape passing through the stagnation point.
(c) Find the width of the body.
(d) Find the maximum and minimum pressures on the body when the pressure in the uniform
flow is atmospheric. The fluid is air and the temperature is 20 oC.
Problem 2. Repeat Problem 1 using the Java-based potential flow solver available at
http://www.engapplets.vt.edu/ “The Ideal Flow Machine.” Include an image of the resulting
streamlines in your solution.
Problem 3. Using the potential flow solver described above, place a doublet of strength -8 m3/s at
the center of the field. Add a uniform flow velocity 2 m/s in the x direction. Place a clockwise
vortex at the center of the field. Find the strength of the vortex that will cause the two stagnation
points to coincide. Include an image of the resulting streamlines in your solution. Verify your
solution analytically.
Problem 4. Use the potential flow solver described above to design your own flow. Identify the
body shape that passes through the stagnation point (if applicable).
Grading Scheme: Completion of this assignment can earn you up to 2 points on your quiz average.
(However to earn the full two points you need to write this up neatly and use words to describe what
you are doing). Failure to do the assignment will earn you -2 points on your quiz average..