hw_05 - Name(s) (up to three students per homework set):...

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Due: Friday October 14, 2005 (see note below) Name(s) (up to three students per homework set) : 1. 2. 3. For instructor or TA use only: Problem Score Points 1 10 2 15 3 10 4 15 5 10 6 15 7 15 8 10 ME 33 Fall Semester, 2005 Homework Set # 5 Professor J. M. Cimbala Note : Since there is no class on Friday October 14, this homework is officially due by 3:00 p.m. Friday in the “IN” slot in the ME 33.1 file folder, located in the second floor stairwell of Reber (near my office). You may hand in the homework any time before the deadline (e.g., on Thursday if you are going out of town). Total: 100 1 . (10 pts) Consider the velocity field given by components u = 2 z 2 , v = 0, and w = 3 x . ( a ) Describe the flow field – i.e., is it steady or unsteady, 2-D or 3-D? ( b ) Calculate the acceleration field , and express your answer in vector form, i.e. a r x yz ia ja k =++ r rr aa r . ( c ) Calculate the volumetric strain rate. Is this flow compressible or incompressible? 2 . (15 pts) Text Problem 2.75 . Hint : You will need to set up an integral for the torque by considering an infinitesimal area element on the disk. Then integrate from
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