Energy Losses in Fluid Flow through Pipes

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Learn about major and minor losses in fluid flow through pipes, and explore the Darcy-Weisbach formula and Chezy's formula for calculating head losses due to friction. Practice numerical problems to strengthen your understanding of fluid mechanics concepts.

  • Fluid Mechanics
  • Energy Losses
  • Pipes
  • Friction
  • Darcy-Weisbach

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  1. When fluid flow through pipes, the fluid experiences some resistance due to which energy of fluid is lost. This losses is classified in two parts Major Losses & Minor Losses

  2. Energy Losses Major Losses Minor Losses

  3. This is due to friction and calculated by following formulas: 1. Darcy- Weisbach Formula: hf= (4.f.L.V2)/(d.2g) where hf = Coefficient of friction (function of Reynolds's Number) f = Friction Factor = 16/Re Re< 2000 (Viscous Flow) = 0.079/(Re)1/44000<Re< 106 Re = ( Vd)/ or (Vd)/ = density = dynamic viscosity = kinematic viscosity L = length of pipe V = mean velocity of flow d = diameter of Pipe g = acceleration due to gravity (9.8 m/s2) 2. Chezy s Formula: V= C (mi) V = mean velocity of flow m = hydraulic mean depth = A (area of flow)/ P ( wetted perimeter) = d/4 (in case of pipe) i = loss of head per unit length of pipe (hf /L) C = Chezy s constant

  4. Numerical: Q1.Find the head loss due to friction in a pipe of diameter 250 mm & length 60m, through which water is flowing at a velocity of 3.0 m/s using (i) Darcy formula (ii) Chezy s formula for which C = 55 . Take kinematic viscosity of water = 0.01 stokes Q2. Find the diameter of pipe of length 2500m when the rate of flow of water is 0.25m3/s and head lost due to friction is 5 m Take C= 50 in Chezy s formula. Q3. An oil of kinematic viscosity 0.25 stokes is flowing through a pipe of diameter 300 mm at a rate of 300 litre/s . Find the head lost due to friction for a length of 60 m of pipe. Q4. An oil of specific gravity 0.7 is flowing through a pipe of diameter 300 mm at the rate of 500 liters/s. Find the head lost due to friction and power required to maintain the flow for a length of 1000m. Take = 0.29 stokes

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