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Equations Of Fluid Mechanics

# Equations Of Fluid Mechanics - P2 V222 gZ2 Loss=P1 V122 gZ1...

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Equations Of Fluid Mechanics + + + = + + + P2ρ V222 gZ2 Loss P1ρ V122 gZ1 WShaft net in + + = + + + - P2ρ V222 gZ2 P1ρ V122 gZ1 WShaft net in Loss , = - WShaft net in WPump WTurbine + + = + + + - - P2ρ V222 gZ2 P1ρ V122 gZ1 WPump WTurbine Loss + + + + = + + + P2ρ V222 gZ2 WTurbine Loss P1ρ V122 gZ1 WPump Energy Equations in terms of Heads + + + + P2ρ2g V222g Z2 hTurbine = + + + hLoss P1ρ1g V122g Z1 hPump

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+ + + + = + + + P2γ V222g Z2 hTurbine hLoss P1γ V122g Z1 hPump + + = + + + - - P2γ V222g Z2 P1γ V122g Z1 hPump hTurbine hLoss + + = + + + - - P2γ α2V222g Z2 P1γ α1V122g Z1 hPump hTurbine hLoss = α 2 for Laminar flow = α 1 for Turbulent flow Flow in the pipe Equations = fD 4f = = Re ρVDμ VDν (Reynolds Number) = f τw12ρV2 (Fanning Friction Factor)
= fD 8τwρV2 (Darcy Friction Factor) = f 16Re (Fanning Friction Factor)(Laminar Flow) = fD 64Re (Darcy Friction Factor)(Laminar Flow) = Q πD4∆P128 μL = V D2∆P32 μL = ∆P 128μLQπD4 = ∆P 32μLVD2 (Laminar) = τw ∆PD4L (Laminar) = , + , hloss hL Major hL minor = ∆P

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