Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such a channel must satisfy the equation: 1 -3 B = 0 where g = 9.81 m/s?, Ac =the cross-sectional area (m?), and B = Q? the width of the channel at the surface (m). For this case, the width and the cross-sectional area can be related to depth y by B = 3 + y and A. = 3y +: Solve for the critical depth using bisection method using the initial guesses x = 0.5 and xu = 2.5.

Q: For the one-dimensional flow system shown below (units in centimeters):a. What is the value of H…

A: Note: The height H is nothing but the upward seepage pressure developed by the water on the soil…

Q: Q-6: You have been assigned to check the stability of a pond constructed in stiff clay underlain by…

A:

Q: Figure below is a representation of the Altus gravity dam in Oklahoma. Find the magnitudes and…

A:

Q: At a section in a channel expansion, the velocity over 25% of the cross-section is zero and it is…

A: Velocity over  of cross section is zero.The remaining area has uniform velocity.To find: Momentum…

Q: The average hydraulic conductivity of the stratum is----- -----meters/day.

A: Step 1: Given Hydraulic conductivity is a function of depth. At the surface hydraulic conductivity…

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

A:

Q: 3 m P Lower reservoir 100 m 1 m Upper reservoir 10 m

A:

Q: 1. Using a conservation momentum equation, show that the force on the hemispherical vane is twice…

A: Momentum conservation equation: The quantity called momentum that characterizes motion in an…

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: Velocity distribution in the boundary layer is given sin (17) where u is the velocity at 28 by U₁…

A:

Q: A trough with a length of 15 m is filled with water. The ends of the trough have a parabolic shape…

A: Length of the trough, L = 15 m Fluid = water  The shape of the trough, parabolic y = 14x2 bounded up…

Q: A 150m-wide (into the page) concrete dam is used to hold back a 25m-deep water reservoir as shown.…

A: Consider the given data

Q: A well in an infinite confined aquifer (transmissivity = 30 m²/h and aquifer storativity = 0.005)…

A: The draw down in the observation well using the Cooper-Jacob, to first determine the value of U,…

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.