hw3 - 2.016 Homework #3 Prof. A. Techet; Fall 2005 Issued:...

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2.016 Homework #3 Prof. A. Techet; Fall 2005 Issued: September 27, 2005 Due: October 4, 2005 Problem 1: Unsteady Potential Flow and Added Mass a. Derive added mass around a sphere. Hint: if you print out the Added Mass Derivation handout, the math is all done for you, and you can hand that worksheet in. ( r F , p , d r A , R , r All you have to do is draw a picture on the page illustrating how to set up the integral i.e. a picture of a sphere showing the coordinate system, and " , and another picture showing how to calculate from d r A . d r A x b. In this derivation, are we integrating the static pressure or the dynamic pressure? What happens if we include the other pressure term as well? c. The equation she = U cos # r + R 3 2 r 2 $ % ( ) = U cos R 3 2 r 2 $ % ( ) et says that the potential function for flow around a stationary sphere is , but the potential function given in the derivation is . What is the difference between these two potential functions? What type of flow does this correspond to? Why would we not include that in the
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hw3 - 2.016 Homework #3 Prof. A. Techet; Fall 2005 Issued:...

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