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Question A2 Figure QA2 is a schematic view of a river flow down an infinite hill with a constant angle of 0. Assume the viscosity and density of water are μ and p respectively. Furthermore assume in this motion the depth of the river remains unchanged and pressure is constant. a) List all the assumptions that you make in order to simplify the conservation of mass and N-S equations. b) Derive and list the simplified equations. c) Find a general solution to the velocity distribution across the river depth and then by applying the appropriate boundary conditions find an expression for the velocity profile. d) Determine the depth of the river in terms of volume flow rate Q per unit width. O AY River bed h Water Ꮎ Figure QA2 9

Question A2 Figure QA2 is a schematic view of a river flow down an infinite hill with a constant angle of 0. Assume the viscosity and density of water are μ and p respectively. Furthermore assume in this motion the depth of the river remains unchanged and pressure is constant. a) List all the assumptions that you make in order to simplify the conservation of mass and N-S equations. b) Derive and list the simplified equations. c) Find a general solution to the velocity distribution across the river depth and then by applying the appropriate boundary conditions find an expression for the velocity profile. d) Determine the depth of the river in terms of volume flow rate Q per unit width. O AY River bed h Water Ꮎ Figure QA2 9

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
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Question A2 Figure QA2 is a schematic view of a river flow down an infinite hill with a constant angle of 0. Assume the viscosity and density of water are μ and prespectively. Furthermore assume in this motion the depth of the river remains unchanged and pressure is constant. a) List all the assumptions that you make in order to simplify the conservation of mass and N-S equations. b) Derive and list the simplified equations. c) Find a general solution to the velocity distribution across the river depth and then by applying the appropriate boundary conditions find an expression for the velocity profile. d) Determine the depth of the river in terms of volume flow rate Q per unit width. River bed y h Water Ꮎ Figure QA2 g
Transcribed Image Text:Question A2 Figure QA2 is a schematic view of a river flow down an infinite hill with a constant angle of 0. Assume the viscosity and density of water are μ and prespectively. Furthermore assume in this motion the depth of the river remains unchanged and pressure is constant. a) List all the assumptions that you make in order to simplify the conservation of mass and N-S equations. b) Derive and list the simplified equations. c) Find a general solution to the velocity distribution across the river depth and then by applying the appropriate boundary conditions find an expression for the velocity profile. d) Determine the depth of the river in terms of volume flow rate Q per unit width. River bed y h Water Ꮎ Figure QA2 g
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