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EML 5709 Homework 3 Spring 1995

  1. Estimate the maximum likely rotational speed of the bathtub vortex created when you step out of the tub and pull the plug. Assume typical bathtub dimensions.
  2. Some people claim that the bathtub vortices on the northern hemisphere rotate counter-clockwise and in the southern hemisphere clockwise. Is this true? Are there no bathtub vortices on the equator.
  3. If athmospheric air rises vertically, what general effect do you expect on the wind speeds?
  4. Make question 3.2 in the book.
  5. Consider inviscid, incompressible, steady flow. Are the streamlines the only lines along which the Bernoulli law holds?
  6. Make question 3.3 in the book.
  7. You and a friend visit the fluids lab and are shown a running water tunnel. Your friend claims that the surface velocity increases as the square root of distance as it speeds up through the narrowing duct. Certainly you can see the water speed up downstream, but how can he see what power of distance it is?? Your own eyes must be even better fluid measuring devices; you can find the point where the average velocity is half the average velocity in the measuring section. Explain both observation.
  8. Discuss what form(s) of the Bernoulli law would apply to a running river.



Author: Leon van Dommelen