Suppose that you wish to assess the hazard posed by a hydraulic jump in a flooded river. The river channel can be assumed to have a uniform rectangular cross-section and you can safely measure the flow speed and depth downstream of the jump to be ud and hd, respectively. Take the gravitational constant to be g = 9.81 ms -2 where required. (a) (b) (c) (d) Derive an equation to determine the flow depth upstream of the hydraulic jump. Formulate the equation as quadratic in D such that f(D) = 0. Give f(D) in symbolic form, using only the downstream Froude number Frd and the ratio D of upstream depth to downstream depth. f(D) = Help

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Suppose that you wish to assess the hazard posed by a hydraulic jump in a flooded river. The river channel can be
assumed to have a uniform rectangular cross-section and you can safely measure the flow speed and depth
downstream of the jump to be ud and hd, respectively. Take the gravitational constant to be g = 9.81 ms
-2
where
required.
(a)
(b)
(c)
(d)
Derive an equation to determine the flow depth upstream of the hydraulic jump. Formulate the equation as quadratic in
D such that f(D) = 0. Give f(D) in symbolic form, using only the downstream Froude number Frd and the ratio D
of upstream depth to downstream depth.
f(D) =
Help
Transcribed Image Text:Suppose that you wish to assess the hazard posed by a hydraulic jump in a flooded river. The river channel can be assumed to have a uniform rectangular cross-section and you can safely measure the flow speed and depth downstream of the jump to be ud and hd, respectively. Take the gravitational constant to be g = 9.81 ms -2 where required. (a) (b) (c) (d) Derive an equation to determine the flow depth upstream of the hydraulic jump. Formulate the equation as quadratic in D such that f(D) = 0. Give f(D) in symbolic form, using only the downstream Froude number Frd and the ratio D of upstream depth to downstream depth. f(D) = Help
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