# Hazen-Williams Pipe Inside Diameter

on . Posted in Fluid Dynamics

Hazen-Williams coefficient uses the inside pipe diameter as one of its parameters for calculating the flow rate of water through the pipe. The inside diameter is a crucial factor in determining the hydraulic characteristics of the pipe.

It's worth noting that the Hazen-Williams coefficient is an empirical formula and is primarily applicable to water flow in municipal water supply systems.  While it's a convenient and widely used method, especially for its simplicity, more advanced hydraulic models may be used for applications where higher accuracy is required or for non-standard conditions.

### Hazen-Williams Pipe Inside Diameter formula

$$d = ( Q \;/\; C \; 0.285 \; m^{0.54} )^{1/2.63}$$     (Hazen-Williams Pipe Inside Diameter)

$$Q = C \; 0.285 \; d^{2.63} \; m^{0.54}$$

$$C = Q \;/\; 0.285 \; d^{2.63} \; m^{0.54}$$

$$m = ( Q \;/\; C \; 0.285 \; d^{2.63} ) ^{1/0.54}$$

### Solve for d

 flow rate, Q Hazen-Williams coefficient, C hydraulic grade line, m

### Solve for Q

 Hazen-Williams coefficient, C pipe inside diameter, d hydraulic grade line, m

### Solve for C

 flow rate, Q pipe inside diameter, d hydraulic grade line, m

### Solve for m

 flow rate, Q Hazen-Williams coefficient, C pipe inside diameter, d
Symbol English Metric
$$d$$ = inside diameter of pipe $$in$$ $$mm$$
$$Q$$ = flow rate $$ft^3 \;/\; sec$$ $$m^3 \;/\; s$$
$$C$$ = Hazen-Williams coefficient $$dimensionless$$
$$m$$ = hydraulic grade line slope $$ft$$ $$m$$