Example 10. 6 Uniform Flow, VariableRoughnessWater flows along the drainage canal having the properties shown inFig. E10.6a. If the bottom slope is S,= 1m/500m=0.002, estimatethe flowrate0.7 m -n3 = 0.030nį = 0.020(3)0.2 mn2 =0.0150.25 m(2)2/3Quotal = Q1 + Q2+ Q3 = A¡V1 + A¸V2 + A3V3Manning equation

Answered: Example 10. 6 Uniform Flow, Variable…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A Cipolletti weir, popular in irrigation systems, is trapezoidal,with sides sloped at 1:4 horizontal to vertical, as in Fig. The following are flow-rate values, from the U.S.Dept. of Agriculture, for a few different system parameters. Use this data to correlate a Cipolletti weir formula with areasonably constant weir coefficient.
Find the hydraulic radius Wetted area=18.9 m2 Wetted perimeter=12.3 m
A circular corrugated-metal water channel has a slope of1:800 and a diameter of 6 ft. (a) Estimate the normal discharge,in gal/min, when the water depth is 4 ft. (b) For thiscondition, calculate the average wall shear stress.
A trapezoidal channel having a cross-sectional area A,, wetted perimeter P,, Manning's coefficient n and laid to a slope S, carries a certain discharge Q, at a depth of flow equal to d. To increase the discharge the base width of the channel is widened by x, keeping all other parameters viz., S, d, side slope and n same. Prove that 1+ Q, 1+ where Q, is the new discharge in the cdhannel.
Water flows in a rectangular channel that is 0.5 m wide as shown. The upstream depth is 70 mm. The water surface rises 40 mm as it passes over a portion where the channel bottom rises 10 mm. If viscous effects are negligible. What is the flow rate? (2) 100 mm (1) 70 mm 10 mm
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A rectangular channel, laid out on a 0.5° slope, delivers afl ow rate of 5000 gal/min in uniform fl ow when the depthis 1 ft and the width is 3 ft. (a) Estimate the value ofManning’s factor n. (b) What water depth will triple thefl ow rate?
A circular jet of water impinges on a flat plate as shown in Figure P10.49. The water spreads out equally in all directions and at station 1, the flow is essentially uniform over the depth Y1. The jet exit velocity V is 10 m/s and the exit diameter D is 10 mm. If you are given that R = 8D, and Y1 = D/4 (a) Find the Froude number of the flow at station 1. (b) If you are given that a circular hydraulic jump forms near station 1, estimate the depth of water after the hydraulic jump using the one-dimensional hydraulic jump relationship. Under what conditions will the accuracy of this estimate improve?
Please answer Fluid Mechanics Hw problem #8
Problem 5: Pipe Flow A 10,000 ft P BC 20,000 ft D This semester we worked through several versions of the pipe flow problem sketched above, in which a 3.0 ft diameter pipe is used to convey water from reservoir A (surface elevation 80 ft) to reservoir D (surface elevation 90 ft). In week 14, we considered a specific example with a cast iron pipe (A = 0.00085 ft), flow rate of Q=40 ft³/s, and average velocity of V = 5.66 ft/s. For these conditions, the friction factor was λ = 0.015 and the pump added 86 ft of head. Assume the water temperature is always 60°F. Part A Assuming the pump is 75% efficient and electricity costs 10e/kW.hr, how much will it cost to run this pump for a year? Hint, 1 kW hr = (1000 watts) (1 hr) = (1000 J/s)(3600 s) = 3.6x106 J. Part B Now let us assume we need to double the discharge to Q = 80 ft³/s, but unlike the example in week 13, we are not going to make the false assumption that the friction factor λ is constant. You may, however, assume that the roughness…

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