Head Difference Between Two Ends of a Pipe Calculator

Head Difference Between Two Ends of a Pipe Due to Friction Equation

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

h_f = 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)

Calculator

Property to Calculate:

Darcy-Weisbach friction factor (f):

Length of pipe (L):

Velocity of fluid (V):

Gravitational acceleration (g):

Diameter of the pipe (d):

Flow rate (Q):

Equation 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).