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4. 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. hydraulic jump V₂ h2 h₁ Figure for problem 4. (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? -

4. 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. hydraulic jump V₂ h2 h₁ Figure for problem 4. (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? -

Elements Of Electromagnetics
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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4. 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. hydraulic jump V₂ h2 h₁ Figure for problem 4. (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? -
Transcribed Image Text:4. 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. hydraulic jump V₂ h2 h₁ Figure for problem 4. (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? -
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