14 12/07 M

1. For the turbulent mixing layer where the fluid at one side is at rest, give and plot the theoretical half shear layer thickness versus $x$. Use data in the book for any constants. Do the flows shown in the pictures seem consistent with the obtained relationship?

2. For the plane and axisymmetric turbulent jets, give and plot the half jet thickness versus $x$. Get any constant from the book. Also plot the maximum jet velocity versus $x$ for the jets. The book says somewhere that the axisymmetric (round) jet has a faster centerline (maximum) velocity decay as the two-dimensional jet. How did they get that crazy idea?

3. For the plane and axisymmetric turbulent wakes, plot the wake thickness versus x. How do they compare? Also plot the maximum velocity defects versus $x$ and compare those. What is the problem with the axisymmetric turbulent wake for large enough $x$?

4. Would the similarity arguments made in class for a turbulent jet hold for a jet in a coflowing stream (like a jet coming out of a jet engine of a plane in flight)? If not, why not?