CIVL 151_Tutotial 3

CIVL 151_Tutotial 3 - Tutorial3 Tutorial 3 31,March,2009 Problem1 oil,spgr=0.83,forV0 =20 m/s Problem1 1. 2.Pressureisthesame everywhere

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CIVL 151 Fluid mechanics torial 3 Tutorial 3 31, March, 2009
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Problem 1 What force F is required to hold the plate from flowing oil, sp gr = 0.83, for V 0 = 20 m/s ?
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Problem 1 1. Establish the control volume; 2. Pressure is the same M 1 everywhere; 3. The equation of motion is: M 4. Therefore: = 0 FM M 0 M Q V = (. ) ( ) 0 2 1 0 8 1000 dV V ρ π == = ×× × 4 628 N = M 2
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Problem 2 If 600 L/s of water flows through an 50 cm diameter pipeline that contains a horizontal 90 o bend and the pressure at the entrance to the bend is 140 kPa, determine the force components, parallel and normal to the approach velocity, required to hold the bend in place. lt l Neglect losses.
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Problem 2 1. Establish the control volume; 2. Mass conservation : Q =constant, 2 /( ) . 2 12 1 3 057 m/s VVQ d π == = 3. Energy equation: d h γγ ++ = 22 11 p Vp V zz gg 4 Since z 1 = z 2 and V 1 = V 2 , we have p 1 = p 2 4. The equation of motion : F p1 F M . Find the magnitudes of these terms: M 1 F x F px FF =− py M 5. Find the magnitudes of these terms: y . 3 06m/ s 140 kPa Qp p = () ( / . 32 140 10 4 0 5 )=27475 N p Fp A = × e me way erefore nd .. 1000 0 6 3 057=1834.2 N MQ V ρ = × 29309.2 N xp FM F = += 9309 2 N The same way,
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This note was uploaded on 04/18/2009 for the course CE 309 taught by Professor Lee during the Spring '07 term at USC.

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CIVL 151_Tutotial 3 - Tutorial3 Tutorial 3 31,March,2009 Problem1 oil,spgr=0.83,forV0 =20 m/s Problem1 1. 2.Pressureisthesame everywhere

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