2010 BRAE312 HW-3res-DarcyW

2010 BRAE312 HW-3res-DarcyW - BRAE 312 Problem 24 3...

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Unformatted text preview: BRAE 312 Problem 24 - 3 Reservoirs Given: A three reservoir (branching pipe system) Elev A (ft) = 240 Temp: Pipe: Elev C (ft) = 170 60 degrees F Cast Iron Dia 1 (in.) = 30 L1 = 4000 ft e = 0.0005 Dia 2 (in.) = 24 L2 = 3000 ft C hw = 130 Dia 3 (in.) = 18 L3 = 1500 ft Q2 (CFS) = 7 Required: 1. Pressure at Junction 2. Elevation of Reservoir B Solve using Hazen Williams, Darcy Weisbach, and Mannings Equation Solution: Derivation of Velocity for 3 Reservoir Problem: Using the Darcy-Weisbach Equation for Friction Loss, hf: eqn 8.13 Moving f and hf to opposite sides of the equation by dividing: Taking the Square Root of both sides, and factoring out the V 2 term: The Colebrook-White equation for the friction factor says: eqn 8.51 Substituting the Colebrook-White equation into the Darcy-Weisbach for 2 2 f L V h f D g = 2 1 2 f L V f D gh = 1 2 f L V gDh f = 1 / 2.51 ( 2) 3.7 Re e D LOG f f ⎛ ⎞ ⎛ ⎞ = − + ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ 1 Substituting the Colebrook-White equation into the Darcy-Weisbach for...
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This note was uploaded on 01/13/2011 for the course BRAE 312 taught by Professor Styles during the Fall '10 term at Cal Poly.

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2010 BRAE312 HW-3res-DarcyW - BRAE 312 Problem 24 3...

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