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Hello, coul you please help to solve the above problems?Warm regards.I. (10 points) The river flow at an upstream gauging station is measured to be 1250 ms, and at another gauging station 2.5 km downstream, the discharge is measured to be 700 m’s at the same instant of time. If the river channel is uniform with a width of 250 m estimate the rate of change in the water surface clevation in meter per hour. Is it rising or falling? 2. (10 points) A rectangular channel 6 m wide with a depth of flow of 3 m has a mean velocity of 1.5 ms. The channel undergoes a smooth, gradual contraction to a width of 45 m (a) Calculate the depth and velocity in the contracted section (b) Calculate the net fluid force on the walls and floor of the contraction in the flow direction In cach case, identify any assumptions that you make. 3. (10 points) In very slow motion of a fluid around a sphere, the drag force on the sphere, D. depends on the sphere diameter, the velocity of the approach flow, and the fluid viscosity. Complete the dimensional analysis. How many dimensionless groups are there and what are the implications for the corresponding values of the group’s)? Why was the fluid density not included in the list of variables! 4. (10 points) The upstream conditions are the same as in Exercise 2.1, but there is a smooth contraction in width from 10 tandar ta bomFind the depth of now and change in water surface elevation in the contracted section. What is the greatest allowable contraction in width so that choking is previed lead los coefficient -0) 5. (15 points) Determine the upstream depth of flow in a subcritical transition from an upstream rectangular flume that is 49 wide boa downstream trapezoidal channel with a width of 75 and side slopes of 2:1. The transition bottom drops from the stream flume to the downstream trapezoidal channel. The flow rate is 12.000 , and the depth in the downstream trapezoidal channel is 22 Use a head los coefficient of OS. 6. (15 points) A rectangular channel 3.6 m wide contract 1.8-m wide rectangular channel and then expand back to the 3.6-mn width. The contraction is gradual enough that had loss can be neglected at the expansion low cocficientis 05 The discharge through the transition is 10 Ir the downstream depth at the re-expanded section is 2.4 m, calculate the depths at the approach section and the contracted section Show the positions of the depth and specific energy for all three section is energy diagram 7. (15 points) A natural channel cross-section has a bank-full cross-sectional area of 45m anda top width of 37.5 m. The maximum value of F F has been calculated to be 1.236. Find the discharge range, if any, within which multiple critical depths could be expected 8. (15 points) A hydraulic jump is to be formed in a trapezoidal channel with a base width of 20 and side slopes of 2:1. The upstream depth is 1.25 ft and 0-1000 cfs. Find the downstream depth and the head loss in the jump Solve by Figure 3.2 and verify by manual calculations. Compare the results for the sequent depth ratio and relative head loss with those in a rectangular channel of the same bottom width and approach Froude number

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