A 3.0-m rectangular channel carries a discharge of 8.0 /s with a water depth of 4.0 m. A free jump is forced to form at a section where the channel width increases to 4.0 m. The relation between and...

A 3.0-m rectangular channel carries a discharge of 8.0

/s with a water depth of 4.0 m. A free jump is forced to form at a section where the channel width increases to 4.0 m. The relation between

and

is given as

where

is the conjugate depth in the expanding section of the channel,

is the conjugate depth if the channel width has not been changed, and

is equal to the initial width, b, divided by the expanded width B. Determine the conjugate depth at the enlarged section.