Fluid Mechanics Question An empirical equation for the velocity distribution in a horizontal, rectangular, open channel is given by u= umax(y/d)n where u is the velocity at a distance y feet above the floor of the channel. If the depth of flow is 1.2m, umax=3m/s, and n=1/6, what is the discharge in cubic meters per second per meter of width of the channel? What is the mean velocity?

Q: Explain, using sketches, the viscous flow past a long circular cylinder, with the flow direction…

A: The flow in which the velocity of flow is constant or varies uniformly at any point is known as…

Q: What is the velocity (v) of a stream with a discharge (Q) of 1.20 × 103 m3/s  and a cross-sectional…

A: Given data in question  Discharge 1.20×103 m3/s Area 3.73×103 m2 To find out  Velocity of stream

Q: A formula to estimate the volume rate of flow, Q, flowing over a dam of length, B, is given by the…

A: Here is the step-by-step explanation: Step 1: Understanding the Given Formula:​The formula provided…

Q: a) A fluid is weighed in the lab. It is found that 2.1 U.S. gallons of the fluid weighs 155.2…

A:

Q: Calculate the diameter of a pipe that must carry 140 L/min at a velocity of 5 m/s *.

A:

Q: DATA SHEET Pipe Section Material Pipe Pressure at Length Dia. Reynolds Roughness Flow Velocity…

A: Calculating pressure; Pressure 'P'=ρgh=32.2×62.35×1bFx3×150 ft=301166.014×1bfft2=20.9143…

Q: Ichetucknee Springs is a Florida State Park that is about 30 miles northwest of Gainesville. One of…

A: The width of the river is B=40 ft or B=12.192 m. The length of the river is L=6 mi or L=9656.07 m.…

Q: A reservoir has a water height (H) of 15 meters (from the surface to the centerline of the reservoir…

A:

Q: This problem involves a cylinder falling inside a pipe that is filled with oil, as depicted in the…

A: Given data: diameter (d) = 100 mm =0.1m D= 100. 5 mm = 0.1005 m  * length (L) = 200 mm =0.2 m…

Q: The amount of water passing a point on the stream channel (Discharge) during a given time is a…

A: Area, A= 10 m2, Velocity= 2m/s, Find the Discharge, Q=?

Q: Three pipes steadily deliver water at 20°C to a large exit pipe as shown in the figure given below.…

A: Given Data: Diameter of pipe1 = D1 = 4 cm = 0.04 m Diameter of pipe2 = D2 = 5 cm = 0.05m Diameter of…

Q: As shown in the figure below, water behind a dam enters an intake pipe at a pressure of 24 psia and…

A: To solve this problem, first we need to calculate the specific gravity. Then the Bernoulli equation…

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.