Use this free online Hydraulic Jump Calculator to quickly determine the downstream depth (y2) and energy loss (hL) for open channel flow. Essential for civil engineering and fluid dynamics applications, ensuring accurate design and analysis of water structures like spillways and weirs.
Formula:
The primary formula for calculating the downstream depth (y2) in a rectangular channel, given the upstream depth (y1) and upstream Froude number (Fr1), is:
y2 / y1 = 0.5 * (-1 + √(1 + 8 * Fr12))
Where the upstream Froude number (Fr1) is calculated as:
Fr1 = V1 / √(g * y1)
And the energy loss (hL) across the hydraulic jump is given by:
hL = (y2 - y1)3 / (4 * y1 * y2)
- y1: Upstream flow depth (e.g., meters, feet)
- y2: Downstream flow depth (e.g., meters, feet)
- V1: Upstream flow velocity (e.g., m/s, ft/s)
- g: Acceleration due to gravity (e.g., 9.81 m/s2, 32.2 ft/s2)
- Fr1: Upstream Froude Number (dimensionless)
- hL: Energy loss (e.g., meters, feet)