Water flows in a two-dimensional channel of width W and depth D as shown in the diagram. The hypothetical velocity for the water is V(x,y)||=||Vs|(1- 4x²/W²)(1- y²/D²) where V, is the velocity at the water surface midway between the channel walls. The coordinate system is as shown; x is measured from the center plane of the channel and y downward from the water surface. Find the discharge in the channel in terms of V1, D, and W

Water flows in a two-dimensional channel of width W and depth D as shown in the diagram. The hypothetical velocity for the water is V(x,y)||=||Vs|(1- 4x²/W²)(1- y²/D²) where V, is the velocity at the water surface midway between the channel walls. The coordinate system is as shown; x is measured from the center plane of the channel and y downward from the water surface. Find the discharge in the channel in terms of V1, D, and W

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter18: Mathematics In Engineering

Section: Chapter Questions

Problem 3P

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