Figure (4) Question (: The rectangular channel has a transition that causes its width to narrow to 1.5 m as shown in Figure (4). If the flow is 10 m'/s and yA =5 m, determine the depth of flow at B. Take g-9.81m/s'. 15m

Figure (4) Question (: The rectangular channel has a transition that causes its width to narrow to 1.5 m as shown in Figure (4). If the flow is 10 m'/s and yA =5 m, determine the depth of flow at B. Take g-9.81m/s'. 15m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A hydraulic jump is shown in figure below. The depth of flow z₂ after the hydraulic jump is 5 m larger than z₁. The total flow rate in the channel is 450 m³/s and the channel width is 50 m. The length / over which the jump occurs is 0.4 m. ax= If the depth, z₁, is 6 m then what is the average acceleration (ing's) of the liquid as is flows across the jump. 0.21 Hydraulic jump g's V₂
A trapezoidal channel (b= 1.5 m, m = 2) forms the outlet structure of a lake that discharges to a steep channel as shown in the figure. The lake level far upstream from the outlet is 0.6 m relative to the invert of the outlet structure. If the water discharge, Q, released from the lake was 1.86 m³/s, determine the depth y at the outfall. Flow direction Lake Outfall Q = 1.86 m³/s y = ? Steep channel TER 0.6 m
Q(3):A rectangular channel is to be dug in the rocky portion of a soil. Find its most economical cross-section if it is to convey 12 m3/s of water with an average velocity of 3 m/s. Take Chezy's constant C = 50.
Water flows steadily along a horizontal open channel of uniform width, over a broad-crested weir. The channel bed upstream from the weir (to the left) is d metres above the channel bed downstream from the weir (to the right), as shown in the figure below. The volume flow rate per unit width is Q = 6 m? s-1, and upstream the depth of the water is h1 = 3 m. Take the magnitude of the acceleration due to gravity as g = 10 ms 2. hi D p. h2 U2 (a) Find the upstream speed u1, and show that the flow is subcritical there. (b) Find the specific energy E (in m) for the flow upstream. (c) By applying Bernoulli's equation along a suitable streamline, show that the depth h2 in the downstream section of the channel satisfies the equation 5h – (16 + 5d)h+9 = 0.
In gradually varied flow, the channel bottom, water surface, and EGL are parallel. Select one: O True O False
Water flows over a dam into a rectangular channel of width b (out of page). At the bottom of the dam, the depth of flow is h₁. As you may have seen on watching rapid channel flow, the water may suddenly change elevation to height h₂ as it passes through a highly disturbed region called the hydraulic jump. If velocity is assumed uniform at 1 and 2, compute the height h2 using the control volume analysis. Take the pressures at 1 and 2 as hydrostatic, and assume that the flow is steady. Neglect friction at the channel bed and walls. (Courtesy of the Wright Water Engineers, Inc. and ASDSO) Hydraulic jump h₁ = 3 ft V₁ = 25 ft/s BE 2 h₂ =? V₂ = ? (a) Find the cubic equation, in terms of h₁, V₁, and g, that you must solve for the downstream depth h₂ of the water channel. (b) For h₁ = 3 ft and V₁ = 25 ft/s, find the downstream depth h₂. Use the standard value for g. Note that you are solving a cubic equation, and only one of the solutions is correct.
A channel step, shown in the figure below, is in a 12 m wide channel with discharge, Q, of 46 m3/s. The flow depth at section 1 is 1.6 m and the step height is 0.4 m. The bed of the channel, upstream and downstream of the step, is horizontal and smooth. Part A. Sketch on the figure the variation of the pressure with depth at sections 1 and 2, and on the verticalface of the step. Sections 1 and 2 are located far enough from the step for the velocity to be essentially horizontal and uniform. Part B. Draw the control volume contained between sections 1 and 2 and show on the figure the forces acting on it. Show also your choice for the positive direction of distance and of force. Part C. Write the momentum equation as applied to the control volume between sections 1 and 2, using the sign convention you have chosen. Show the forces and velocities used in the momentum equation. Part D. Compute the following quantities: (a) Velocity of flow at section 1. (b) Specific energy at section 1. (c)…
Water flows at 15 f/s through a 6 ft wide rectangular channel as shown in the figure. The upstream depth of flow (y1) is 1 ft and the downstream depth of flow (y2) is 1.5 ft. Is the flow upstream subcritical or supercritical? Determine if a hydraulic jump will form. Show steps.
Q4: The flow is occurring in a rectangular channel at a velocity of (571/500) m/sec and a depth of 0.2 m. Neglecting the effect of the velocity of approach & applying the relation; Q=1.84*L*H3/2, Analyze that what should be the height of a sharp-crested weir that mustbe installed to raise the water depth upstream of the weir to 1.2 m.
Question : A stream bed has a rectangular cross section 5 meters wide and a slope of 0.0002 m/m. The flow rate in the stream is 8.75 m³/s. A dam is built across the stream, causing the water surface to rise to 2.5 meters just upstream of the dam, as shown below. Assume n = 0.015. y = yn 2.5 m a. Find the normal depth, yn, corresponding to this flow rate and channel geometry. You do not need to solve the equation by hand. To get full credit, show your equation with only one unknown. b. Find the critical depth, yc. c. The yn is found to be 1.8 m by solving the equation numerically. Identify the water surface profile upstream of the dam. Explain your answer for full credit.
Water flows under the partially opened sluice gate, which is in a rectangular channel. Suppose that yA = 8 m and YB = 1.5 m. (Figure 1) Figure ▼ УА Part A A B 1 of 1 C Determine the Froude number at B Express your answer to three significant figures. T