Water flows over the bump in the bottom of the rectangular channel shown in the figure below with a flowrate per unit width of q = 4m²/s. The channel bottom contour is given by zB = 0.2e¯** where zg and x are in meters. The water depth far upstream of the bump isy1 0.4 m. Calculate (a) the water depth, y, and (b) the surface elevation, z, for x = 0.5 m. Assume one-dimensional flow.(a) y = i(b) z=im3V₁31y(x)z(x)-x-0.2

Answered: Image /qna-images/answer/08ba0d2d-de7c-499c-b1ac-203344a52667.jpg

Answered: Water flows over the bump in the bottom…

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Stresses In A Soil Mass

Section: Chapter Questions

Problem 8.14P

See similar textbooks

Similar questions

A sluice gate, as shown in figure 01, is used to control the upstream water level in a3 m wide rectangular channeL The water discharge in the channel is 15 m3/s. You given the water depth at 3 to be 2.5 m and the hydraulic jump Froude number equation
A rectangular channel with a width of B = 2 m drains water with a discharge of Q = 2,4 m3/s. The depths of water at an adjacent point are 1,5 m and 1,4 m. If the Chezy coefficient is 50 and the slope of the Io channel base = 0,0004, calculate the distance between the two faces. Continue to normal depth with the direct step method.
Water flows in a rectangular channel of width, w. In some cases, the water may suddenly increase in elevation as shown in the figure (from h1 to h2) through a highly disturbed region called a hydraulic jump. Assume the velocity is uniform at stations 1 and 2, and assume the pressures are distributed hydrostatically. (a) Using the conservation of mass and momentum, find the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g. (b) Using the Bernoulli equation and whatever other necessary equation(s), find the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g. In light of (a) and (b) above, does your answer to this part make sense? Explain.(c) For h1 = 1 m and V1 = 7:6 m/s, find the downstream height, h2, using whichever of the above approaches is the most correct. (Note that there are two valid solutions - explain.) What is the downstream velocity?
(c) Determine the downstream depth, y2(d) Determine the absolute change in the water surface from location 1 to location 2.
A river of width 6 m conveys water at normal depth 2.0 m along a slope of 0.0002 and n = 0.035, upstream of a water fall. The water falls to a depth of 1.9 m. Taking N = 3 steps/ section, determine:( i) Type of flow profile (ii) Length of gradually-varied flow profile produced based on the method of numerical integration, and (iii) Profile sketch
A channel carries irrigation water at an average velocity of 2 m/s. The channel is 650 m long, 2 m deep, and has a base width of 4.25 m. If the side slopes are 1:1. a. Determine the channel dimensions and area of a geometrically similar model constructed at 10:1 scale. b. Determine the discharge (flow rate) from the model required for kinematic similarity. 1 c. Determine the discharge (flow rate) from the model required for dynamic similarity using the Froude number.
(Question: 4: A well with a storage coefficient of 0.05 m/s has a slope define by rise = 3 and run = 4. Find the velocity of flow using Darcy’s equation.)The soil porosity in the area where the 46-cm diameter well in Question#4 is 48%, find the discharge of the groundwater.
A half-full circular open channel is shown below. The diameter of the channel is D=2 m. (2) Calculate the wetted perimeter (WP) ______m (2 decimal places)
11. A channel runs almost parallel to a river as shown in the figure. The water level in the river has an elevation of 36 m. and the elevation of the channel is 33 m. The river and channel are 600 m apart and a previous formation of the average thickness of 9 m and hydraulic conductivity of 0.80 m/hr joints them together. Compute the hydraulic gradient Compute the rate of seepage flow from the river to the channel per meter width in liters per day. If the seepage velocity is 0.048 m/day, compute the void ratio of the previous medium.
A trapezoidal channel with a bottom width of Bo = 4 m and a sidewall slope of m = 2 carries a discharge of 8 m3/s. what is the critical depth of the channel? ( Show calculation and sketch) a) 0.84 m b) 0.72 m c) 0.96 m d) 0.66 m
The L-shaped gate ABC shown in figure is 2 m wide and hinged at point B. Compute the water depth h that makes the gate open.
length of sharp-crested rectangular weir (w/ end contractions) = 2 m Q = 0.89 m^3/s What is the height (P) needed to maintain the upstream depth of 2.25 meters? (Neglect the velocity of approach) *Use the Francis Formula in solving*

SEE MORE QUESTIONS

Recommended textbooks for you

Fundamentals of Geotechnical Engineering (MindTap…

Civil Engineering

ISBN:

9781305635180

Author:

Braja M. Das, Nagaratnam Sivakugan

Publisher:

Cengage Learning