# Hazen-Williams Flow through a Pressurized Pipe Equation

on . Posted in Fluid Dynamics

The Hazen-Williams Equation can be used for flow through an open channel or through a pressurized pipe.

## Hazen-Williams flow through a pressurized pipe Equation formulas

$$\large{ p_d = \frac{4.52 \; Q^{1.852}} {C^{1.852} \; d^{4.8704}} }$$     (US units)

$$\large{ p_d = \frac{10.67 \; Q^{1.852}} {C^{1.852} \; d^{4.8704}} }$$     (SI units)

Symbol English Metric
$$\large{ p_d }$$ = pressure drop over the length of pipe $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ Q }$$ = flow rate $$\large{\frac{ft^3}{sec}}$$ $$\large{\frac{m^3}{s}}$$
$$\large{ C }$$ = Hazen-Williams coefficient $$\large{dimensionless}$$
$$\large{ d }$$ = inside diameter of pipe $$\large{in}$$ $$\large{mm}$$