Water of density ρ flows in an open channel of constant width w with an initial depth of H1. At some point, the bottom rises smoothly to a height H3 and the depth of the water decreases to H2, as shown in Figure P10.18. If the upstream Froude number F1 = 0.4, and the downstream Froude number F2 = 1.0: (a) Find H2/H1 (this is a number). (b) Find H3/H1 (this is a number). (c) Find the force Fx exerted by the water on the step in the horizontal direction. Express the result in terms of the non-dimensional force coefficient using ρ, g, w, and H2 (this is a number). Show all your working, and state all your assumptions. Viscous forces can be neglected.

Q: 5. When depth of flow is more than critical depth, it is called as: a) Supercritical flow b)…

A: 5. The water profile is classified based on the flow of water longitudinally. They are classified as…

Q: 1 3 2 Figure Q1

A:

Q: Water is flowing through an inclined aquifer (a=10°) as shown in the following figure. The depth of…

A:

Q: An artificial reservoir is obtained via a concrete dam. Water backs up behind the concrete dam as…

A:

Q: A free vortex is defined by its stream function = (-150 In r) m²/s, where r is in meters. (Figure 1)…

A: Given :  ψ=(-150lnr) m2s Determine the velocity of particle at r=4m Determine the gage pressure at…

Q: CV B Bolts Spigot In n CV A W water ZA W. faucet Out

A:

Q: A rectangular channel with a width of Bo = 3 m and water depth of y = 1.41 m carries a discharge of…

A: Width of channel (Bo) = 3m Depth of flow (y) = 1.41 Discharge (Q) = 0.8 m3/s Determine the momentum…

Q: Estimate the uplift pressure under bottom left corner of this dam If the entire dam sits 6ft below…

A: Find the hydraulic head as follows:

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.