CE 502 Assignment 03 PDF

SAMRAT ASHOK TECHNOLOGICAL INSTITUTE VIDISHA (Department of Civil Engg) Assignment No 03 Date of issue 01.10.24 Date of submission 07.10.24 1.Explain the dynamic equation for gradually var...

SAMRAT ASHOK TECHNOLOGICAL INSTITUTE VIDISHA (Department of Civil Engg) Assignment No 03 Date of issue 01.10.24 Date of submission 07.10.24 1.Explain the dynamic equation for gradually varied flow with assumptions made and expression for it. 2.Differentiate between the back water and drawn down curves 3.Define the terms: (i) Afflux and (ii) Back water curve. Obtain an expression for length of the backwater curve. 4.A river 45 m wide has a normal depth of flow of 3 m and an average bed slope of 1 in 10000. A weir is built across the river raising the water surface level at the weir site to 5 m above the bottom of the river. Assuming that the back water curve is an arc of circle, calculate the approximate length of the backwater curve. Consider that the river is prismatic. Take the value of N in Manning’s formula as 0.025. 5.What is mean by ‘Hydraulic jump’ in an open channel? What are its uses. 6.Derive an expression for calculating the depth of hydraulic jump and loss of energy head due to hydraulic jump. 7.Describe the venturiflume with the help of neat sketch. Derive an expression for calculating the discharge through it 8.A sluice gate discharges water into horizontal rectangular channel with a velocity of 10 m/s and depth of flow of 1 m. Determine the depth of flow of water after the jump and consequent loss in total head 9.Uniform flow occurs at a depth of 1.5 m in a long rectangular channel 3 m wide and laid to a slope of 0.0009. If Manning’s N = 0.015 calculate: Maximum height of hump on the floor to produce critical depth. Width of contraction which will produce critical depth without increasing the upstream depth of flow. 10.Water flows at a velocity of 1 m/s and a depth of 2 m in an open channel of rectangular cross-section, 3 m wide. At a certain section the width is reduced to 1.8 m and the bed is raised by 0.65 m. Will the upstream depth be affected? If so, to what extent. 11.A hydraulic jump occurs in a V-shaped channel having sides sloping at 45°. Derive an equation relating the two depths and the flow rate. If the depths before and after the jump in the above channel are 0.50 m and 1.0 m, determine (a)The flow rate; (b) Froude numbers before and after the jump. 12.Elaborate the different water profiles with respect to slopes and zones. 13.What do you understand by surges ? Explain the negative surge and positive surge? 14.A horizontal rectangular channel of 3 m width and 2 m water depth conveys water at 18 m3/s. If the flow rate is suddenly reduced to 23 of its original value, compute the magnitude and speed of the upstream surge. Assume that the front of the surge is rectangular and friction in the channel is neglected. 15.A horizontal rectangular channel of 3 m width and 2 m water depth conveys water at 18 m3/s. If the flow rate is suddenly reduced to 23 of its original value, compute the magnitude and speed of the upstream surge. Assume that the front of the surge is rectangular and friction in the channel is neglected. 16 In a rectangular channel 12 m wide and 3.6 m deep water is flowing with a velocity of 1.2 m/s. The bed slope of the channel is 1 in 4000. If flow of water through the channel is regulated in such a way that energy line is having a slope of 0.00004 find the rate of change of depth of water in the channel. 17 A wide channel laid to a slope of 1 in 1000 carries a discharge of 3.5 m3/s per metre width at a depth of 1.6 m. Find out the value of Chezy’s constant C. Consider the flow to be uniform If the actual depth varies from 1.5 m at an upstream location to 1.7 m at a location 300 m downstream or in other words the flow is gradually varied, what will be the value of Chezy’s coefficient C 18.The normal depth of flow of water, in a rectangular channel 1.5 m wide, is one metre. The slope of the channel is 0.0006 and Manning’s rugosity co-efficient N 0.012. Find the critical depth. At a certain section of the same channel the depth is 0.92 m while at a second section the depth is 0.86 m. Find the distance between the two sections. Also find whether the section is located downstream or upstream with respect to the first section. 19. A weir is installed across a rectangular open channel thereby raising the flow depth from 1.5 m in a normal flow to 2.5 m at the weir. The width of the channel is 10 m and it is laid to a slope of 1 in 10000. Find an approximate length of the backwater curve considering the average velocity, average depth and average slope midway between the two sections. Take the value of Manning’s rugosity co-efficient equal to 0.02. 20. A river 45 m wide has a normal depth of flow of 3 m and an average bed slope of 1 in 10000. A weir is built across the river raising the water surface level at the weir site to 5 m above the bottom of the river. Assuming that the back water curve is an arc of circle, calculate the approximate length of the backwater curve. Consider that the river is prismatic. Take the value of N in Manning’s formula as 0.025. ======================================================================