A smooth transition section connects two open channels of the same width, as shown in Figure P10.15. The water depth decreases so that the ratio of the downstream to upstream depths Y2/Y1 = 0.5. If the upstream Froude number F1 = 0.35, determine the downstream Froude number F2, and the ratio h/Y1.

A smooth transition section connects two open channels of the same width, as shown in Figure P10.15. The water depth decreases so that the ratio of the downstream to upstream depths Y2/Y1 = 0.5. If the upstream Froude number F1 = 0.35, determine the downstream Froude number F2, and the ratio h/Y1.

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter7: Permeability

Section: Chapter Questions

Problem 7.5P

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Concept explainers

Open Channel Flow

Open channel flow is a branch of fluid mechanics. It deals with the flow of fluid in an open conduit or free surface. In an open channel flow, gravity induces the flow of water whose surface is open to the air. This flow is free-falling rather than confined in rigid body conduits. The open channel flow depends upon two parameters that are the cross-section of the conduit and the velocity profile. Practical examples of open channel flow are streams, rivers, canals, and other drainage systems.In open channel flow, the cross-sectional area of at least one of the sides is exposed to air, and the surface of water faces atmospheric pressure. This flow is also known as free gravity flow. The cross-sectional area of the conduit can be either man-made or a natural channel. For instance, the flow in rivers and streams are natural conduits, and the flow in a canal and sanitary systems are man-made or engineered channels.

Question

A smooth transition section connects two open channels of the same width, as shown in Figure P10.15. The water depth decreases so that the ratio of the downstream to upstream depths Y₂/Y₁ = 0.5. If the upstream Froude number F₁ = 0.35, determine the downstream Froude number F₂, and the ratio h/Y₁.

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