Hydraulic jump in circular open channels with mild slope

الملخص EN

A hydraulic jump is a well-known transitional phenomenon from supercritical to subcritical flows with undulations of water-surface.

In this transition, the water flow has a high-velocity, water surface rises abruptly, surface rollers are formed, intense mixing occurs, the air is entrained, and a large amount of energy is dissipated.

In the present study characteristics of the hydraulic jumps in circular open channels with a mild sloped have been discussed under a wide range of experimental conditions.

The study aims to determine the effect of the channel’s mild slope on the characteristics of the hydraulic jumps with circular channels.

A theoretical study has been done and led to obtaining equations that can be used to get specific force for the hydraulic jump that occurred in circular open channels.

A theoretical study is based on using momentum, and Froude’s number equations.

An experimental study has been investigated using Laboratory 40 experimental runs in circular section flume for eight different discharges ranged from 3.92 to 12.07 l/sec were given with mild slope equals 0.000833.

In total, the experiments were conducted over a range of Froude numbers from 1.78 to 8.87.

The experimental works concluded some dimensionless curves and new useful formulas to get the length of the jump, energy dissipated and efficiency.

The conjugated depth ratio is determined and plotted versus the upstream Froude number, downstream Froude number, head loss, and efficiency for different values of critical depths.

The resulting graphs and equations of the present study are readily applicable for a design for the hydraulic jumps in the circular open channels with mild slope.