# Hydraulic Depth

on . Posted in Fluid Dynamics

Hydraulic depth, abbreviated as $$d_h$$, also called hydraulic mean depth, is the area cross-section of water in a pipe or channel divided by the wetting perimeter.  The hydraulic depth is directly proportional to the cross-sectional area of flow and inversely proportional to the wetted perimeter of the channel.  A higher hydraulic depth indicates a more efficient flow, as a larger cross-sectional area relative to the wetted perimeter reduces the energy loss due to friction.  Hydraulic depth is commonly used in the design and analysis of open channel flow systems, such as rivers, canals, and irrigation ditches.

### Hydraulic Depth formula

$$d_h = A_c \;/\; P_w$$     (Hydraulic Depth)

$$A_c = d_h \; P_w$$

$$P_w = A_c \;/\; d_h$$

### Solve for dh

 area cross-section, Ac wetting perimeter, Pw

### Solve for Ac

 hydraulic depth, dh wetting perimeter, Pw

### Solve for Pw

 area cross-section, Ac hydraulic depth, dh

Symbol English Metric
$$d_h$$ = hydraulic depth $$ft$$ $$m$$
$$A_c$$ = area cross-section of the flow $$ft^2$$ $$m^2$$
$$P_w$$ = wetting perimeter of the channel $$ft$$ $$m$$