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# hw_10 - Name(s(up to three students per homework set Due In...

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Due: In class, Friday December 2, 2005 Name(s) (up to three students per homework set) : 1. 2. 3. For instructor or TA use only: Problem Score Points 1 15 2 10 3 25 4 20 5 15 6 15 ME 33 Fall Semester, 2005 Homework Set # 10 Professor J. M. Cimbala Total: 100 1 . (15 pts) Text Problem 4.90 . Do the text problem as Part (a) of this homework problem. Additional Parts : ( b ) Calculate the r - x component of the shear stress, i.e., τ = τ rx , and calculate τ along the inner wall of the cylinder. Hint : Use Eq. 9-63, where here x is used for the axial coordinate instead of z . ( c ) Integrate shear stress along the pipe wall for a horizontal pipe of length L from location 1 to location 2, and generate an expression for the pressure drop P = P 1 P 2 . Verify that your result makes physical sense from the definition of dP / dx . 2 . (10 pts) Text Problem 7.50 . 3 . (25 pts) Water ( ρ = 1000 kg/m 3 , µ = 1.00 × 10 -3 kg/m s) is pumped from a large reservoir to another large reservoir whose surface is z res = 7.3 m higher, as sketched (not to scale). The piping is of constant inner diameter D = 2.5 cm
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