Module 6 :
Chapter 11 : Applications of Viscous Flows Through Pipes
 
   Recap
   In this course you have learnt the following
 
  • The Fanning’s friction coefficient for a flow through a closed duct,  in terms of wall shear stress, and Cf  = ( ¼)(Dh/L)ΔP*/(1/2) ρV2 in  terms of piezometric pressure drop Darcy’s friction factor is defined as f = 4Cf
 
  • Loss of head in a pipe flow is expressed in terms of Darcy’s friction factor as  h f = f(L/D)(V2/2g)
 
  • Friction factor in case of laminar fully developed flow is found by N-S equation and is given by f = 64/Re. Friction factor for turbulent flow depends both on Re and the roughness at pipe surface.
 
  • Flows, in practice, takes place through several pipes together either in series or parallel or in combination of both of them. The relationship between the head causing the flow ΔH and flow rate Q can be expressed as ΔH= RQ2, where R is the flow resistance in the hydraulic path.
 
  • The loss of head due to friction over a length L of a pipe. Where the entire flow is drained off uniformly from the side tappings, becomes 1/3 of that in a pipe of same length and diameter, but without side tappings.
 
  • An additional head loss over that due to pipe friction takes place in a flow through pipe bends and pipe fittings like valves, couplings and so on.
 
  • The hydraulic power can be transmitted by a pipeline. For a maximum power transmission, the head due to friction in the flow equals to one third of the head at source to be transmitted. The maximum power transmitted efficiency is 67%.
 

 

Congratulations!    you have finished Chapter 11.

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