1) Consider a uniform, rectangular channel with width b and no bottom slope,through which water is flowing in the shallow-water regime, i.e. the waves arelong compared to the water's depth h.• Write the equations for conservation of mass and x-momentum in a rainyday, when a volume r(x, t) of water falls on the channel per unit surfaceand unit time (Notice that the rain brings no horizontal momentum, andneglect any possible effect that its vertical momentum may have on thepressure at the water's surface.)• Manipulate your equations into an equation for hi and one for ut, whereh(x, t) is the water's height and u(x, t) is its mean velocity in the x direc-tion.• Interpret the meaning of the term that appears as a forcing in the equationfor ut, considering for simplicity solutions (and rain) that do not depend onx. (Hint: you may want to compare the total momentum in an arbitrarysegment of the channel at two times separated by a small interval At.)

Name: 1) Consider a uniform, rectangular channel with width b and no bottom
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: 1) Consider a uniform, rectangular channel with width b and no bottom slope,through which water is flowing in the shallow-water regime, i.e. the waves arelong compared to the water's depth h.• Write the equations for conservation of mass and x-momen

Answered: Image /qna-images/answer/5a6cc358-ea83-4b2e-ab99-217ce076e342.jpg

Engineering

Mechanical Engineering

1) Consider a uniform, rectangular channel with width b and no bottom slope, through which water is flowing in the shallow-water regime, i.e. the waves are long compared to the water's depth h. • Write the equations for conservation of mass and x-momentum in a rainy

1) Consider a uniform, rectangular channel with width b and no bottom slope, through which water is flowing in the shallow-water regime, i.e. the waves are long compared to the water's depth h. • Write the equations for conservation of mass and x-momentum in a rainy

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

See similar textbooks

Similar questions

Water is flowing in an open channel at a depth of 2 m and breadthof 3 m and a velocity of 3 m/s. What is the flow rate at thechannel?
I need the answer as soon as possible
The trapezoidal channel of Fig. is made of brickworkand slopes at 1:500. Determine the fl ow rate if thenormal depth is 80 cm.
Find the discharge if flow velocity 0.8 m/s and area of channel 0.3 m2
Uniform water flow in a wide brick channel of slope 0.02°moves over a 10-cm bump as in Fig.. A slightdepression in the water surface results. If the minimumwater depth over the bump is 50 cm, compute (a) thevelocity over the bump and (b) the flow rate per meterof width.
Please answer these 2 questions. Only final answer needed. Please fast.
Fast plz
Consider gradually varied ﬂow of water in a 20-ft wide rectangular channel with a ﬂow rate of 300ft3/s and a Manning coefﬁcient of 0.008. The slope of the channel is 0.01, and at the location x = 0, the mean ﬂow speed is measured to be 5.2ft/s. Determine the classiﬁcation of the water surface proﬁle, and, by integrating the GVF equation numerically, calculate the ﬂow depth y at (a) x = 500ft, (b) 1000ft, and (c) 2000ft.
1. In a steady spatially varied flow in a prismatic open channel, the (a) depth does not change along the channel length (b) discharge is constant along its length (c) discharge varies along the length of channel (d) discharge varies with respect to time.
The tank shown drains through a triangular weir whose flowrate is described by the equation given. Determine the time it will take for the tank to drain from completely full (h = 5 ft) to 5.25 feet deep (h = 0.25 ft) assuming there is no flow into the tank. Volumetric Flowrate h=5 ft + 5 ft 3 ft³ S = 2.48 h².5 (for h in feet) 10 ft -20 ft- -20 ft-
Water flows in a rectangular channel with a width of 2.5 m. The kinetic energy correction coefficient (i.e. velocity coefficient) is estimated as a = 1.2. If the flow rate is 5 m³/s and the flow depth is 1.5 m: (a) determine the specific energy of the flow. (b) Calculate the alternate depth considering α = 1.0.
The equilateral-triangle channel in Fig. has constantslope So and constant Manning factor n. If y= a/2,fi nd an analytic expression for the fl ow rate Q.