third_exam_2001 - CEE 310 Fluid Mechanics Third Exam(2 Hour...

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Unformatted text preview: CEE 310 Fluid Mechanics Third Exam (2 Hour) May 15, 2001 Page 1 of 8 Name:_______________________ Section______________________ Instructions: 1. Write your name on the cover sheet and on each additional sheet of the paper you use. 2. You are allowed to have one-page 8.5in x 11in information sheet. 3. Please budget your time so that you can do all of the problems. Scores General Question 1 /10 2 /6 3 /10 4 /9 5 /10 6 /5 Calculation 1-(a) /10 1-(b) /7 1-(c) /8 Calculation 1-(a) /8 1-(b) /7 1-(c) /10 Bonus point /5 Total _______________________________ CEE 310 Fluid Mechanics Third Exam (2 Hour) May 15, 2001 Page 2 of 8 General Questions (50%) 1. If the velocity component of the flow field is 2 2 2 = − = = w y x v xy u (a) Is the flow two- or three-dimensional? (1%) (b) Is the flow steady? (1%) (c) Is the flow irrotational or rotational? (1%) (d) What is the magnitude of the vorticity? (1%) (e) Is the flow incompressible or compressible? (1%), Why? (1%) (f) Determine the corresponding stream function that passes through the origin (2%) (g) Determine the corresponding potential function that passes through the origin (2%)? 2. (a) What are the two main flow characteristics of a potential flow? (2%) (Please write down the expressions) (b) The following figure is the two measured velocity profiles in the pipe: Profile (i) Profile (ii) To simulate the flow profile (i), which equation (Euler equation or Navier-Stokes equation) should be used? (1%) Why? (1%) (c) Similarly, to simulate the flow profile (ii), which equation (Euler equation or Navier-Stokes equation) should be used? (1%) Why? (1%) CEE 310 Fluid Mechanics Third Exam (2 Hour) May 15, 2001 Page 3 of 8 3. One of the important issues in the design of a concrete canoe is to minimize drag force (total ship resistance) as much as possible. A scale model usually provides a basis to guide the design process of the prototype. Using the Buckingham basis to guide the design process of the prototype....
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This note was uploaded on 04/06/2008 for the course CEE 310 taught by Professor Wu during the Spring '08 term at University of Wisconsin.

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third_exam_2001 - CEE 310 Fluid Mechanics Third Exam(2 Hour...

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