الفهرس 
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Abstract
In open channel flow, the rapid transition from a supercritical flow to a subcritical flow is known as a hydraulic jump. Generally, a hydraulic jump is occurred after control gates, weirs and spillways. Many experimental, analytical, and numerical studies have been conducted to investigate the characteristics of the hydraulic jump. After many years of sustained research, many of its hydraulic features are now well understood. A hydraulic jump is a phenomenon that well known to hydraulic engineers as an advantageous means of dissipating energy, reduce erosion in waterways of spillways and chutes, raise the water level in the channels for irrigation and increase the weight of water behind the structures for equilibrium. A review of literature has shown that previously researchers concentrated more on the horizontal channels while little information is available on sloping channels. In the present study a theoretical and experimental study has been presented to examine the characteristics of the hydraulic jump in a mild slope circular channel where mild slope is less than the critical slope and the normal depth is greater than critical depthcnyy.A hydraulic model investigation is led to study the characteristics of a hydraulic jump in a sloping channel. The main equation is based on the application of the one-dimensional momentum equation. An experimental study has been done using 40 experimental runs in circular section flume with mild slope equals 0.000833 for eight different discharges ranged from 3.92 to 12.07 l/sec. The flume dimensions are 1.00 m width, 1.00 m height, and 14.25 m long it made of a concrete bed and glass walls. For experimental work, a Perspex circular pipe of 6.00 m length with internal diameter D=0.242 m. The experiments are conducted over a range of Froude numbers from 1.78 to 8.87. from experimental the discharge can be measured and the sequent depth is known so the initial depth can be determined. The solutions for other characteristics have been calculated. Also, water surface profiles and length of the jump for different discharges are evaluated. The results of the experimental study have been used to evaluate a developed prediction equation for calculating the specific energy for the hydraulic jump in mild slope in a circular open channel.