HW_27_Soln - ME 309 Fall 2008 Section 2 (Merkle) Homework #...

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ME 309 Fall 2008 Section 2 (Merkle) Homework # 27 Due Mon 3 Nov 2008 Problem 27-1 . The pipe in a ventilating system has a length of 14.3 m and an ID of 0.240 m . The sum of the minor losses is 4.15. The pump characteristics at the specified RPM are given by: 2 10 . 13 3 . 16 Q h - = Plot the required head for the piping system as a function of flow rate and the pump operating line as a function of flow rate to obtain a graphical solution for the operating point. Given : L 14.3 ID 0.24 K_elbow (5) 0.21 K_entry 1.3 k_damper 1.8 sum K 4.15 nu 1.56E-05 rho 1.18E+00 15 . 4 8 . 1 3 . 1 21 . 0 * 5 = + + = K

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Calculate system head requirement: Apply steady mechanical energy equation—from room (stagnant air) to exhaust outlet. ( ) [ ] pump tot h h z z g u u p p Δ - + - + - + - ρ 1 2 2 1 2 2 1 2 2 1 ignore gravity density is small . 101325 2 1 = = p p Mechanical energy reduces to: tot gh u P + = 2 2 2 1 Power required to force air through piping system. Total head loss:
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This note was uploaded on 03/09/2010 for the course ME 309 taught by Professor Merkle during the Spring '08 term at Purdue University-West Lafayette.

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HW_27_Soln - ME 309 Fall 2008 Section 2 (Merkle) Homework #...

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