Lecture 8.pptx - Lecture 8 DIFFUSERS(V2 P2 A2(V1 P1 A1(1(2...

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DIFFUSERS (P/  + gz + V 2 /2) = dW n,f /dm – F z 1 = z 2 same elevation, dW n,f /dm = 0 (P 2 – P1) =  V 1 2 - ( V 1 A 1 /A 2 ) 2 )/2 F (1) (2) (V 1 , P 1 , A 1 ) (V 2 , P 2 , A 2 ) Gradually expanding pipe Write mass balance: V 1 A 1 = V 2 A 2 V 2 = V 1 A 1 /A 2 Increase in pressure and decrease in velocity- pressure recovery. Lecture 8
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SUDDEN EXPANSION (P/  + gz + V 2 /2) = dW n,f /dm – F z 1 = z 2 same elevation, dW n,f /dm = 0 V 2 = is practically zero (P 2 – P 1 ) = V 1 2 /2 F (1) (2) (V 1 , P 1 , A 1 ) (V 2 , P 2 , A 2 ) Sudden expansion will slow down a fluid Friction factor is larger than diffuser – chaotic flow – converts all KE into internal energy.
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B.E. FOR GASES (P/  + gz + V 2 /2) = dW n,f /dm – F z 1 = z 2 same elevation, dW n,f /dm = 0 V 1 = is practically zero, F can be neglected (P atm – P 1 ) = V 2 2 /2 V 2 = (2(P 1 – P atm )/  V 2 = (2RT 1 (P 1 – P atm )/ P 1 M)  (1) (2) (V 1 , P 1 ) (V 2 , P 2 ) P 2 = local atmospheric pressure V 1 = practically negligible Closed tank Ideal gas law- PV = nRT = (mass/M)RT n = moles = mass/molecular weight (M) PM = .RT
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FLOW DEVICES: PITOT TUBE Open channel flow H. Pitot (1695-1771) Impact tube or stagnation tube
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