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Head Difference Between Two Ends of a Pipe Calculator






 

 

 

 

 

 




How This Is Calculated


$$ h_f = 4 f \frac{L}{d} \frac{V|V|}{2g} = \frac{32fLQ|Q|}{{\pi}^2 g d^5} $$ where:

hf   =   Head difference   (m)

f   =   Darcy-Weisbach friction factor   (dimensionless)

L   =   Length of pipe   (m)

V   =   Velocity of fluid   (m/s)

g   =   Gravitational acceleration   (m/s²)

d   =   Diameter of the pipe   (m)

Q   =   Flow rate   (m³/s)


Assumptions


  • The fluid is incompressible and Newtonian.
  • The fluid is in a steady flow.
  • The fluid flow is laminar.
  • The cross-section is uniform.
  • There is no heat transfer.
  • The pipe is ideal (i.e., there is no friction from roughness or imperfections).


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