Find an expression for the flowrate and average velocity

Reference no: EM13543425

Water flows steadly in an open topped channel of rectangular cross section. The channel width is B and the depth of the water is D. The flow is designed using a rectangular coordinate system whose orgin is at the free surface midway between the walls. The x axis is normal to the walls, and the y axis points vertically downward. The velocity W is normal to the xy plane and is given by

W(xy) = Wmax[1-(4x^2/B^2)][1-(y^2/D^2)]

Find an expression for the flowrate and average velocity as functions of B,D and Wmax

Reference no: EM13543425

Questions Cloud

Calculate the coefficient of volume compressibility : In an oedometer test, the void ratio of a clay sample changed from 1.62 to 1.41 as the vertical effective stress imposed on the sample was increased from 100 kPa to 200 kPa. Later on, the vertical effective stress on the sample was decreased

How many rapid sand filter boxes of dimensions 10 m 10 m : A streamlined, high-speed train travels at 200 km/hr. The flow over the train is similar to flow over a flat plate. Estimate the boundary layer thickness at the end of the train, which is 125 m long. The temperature is 10°C.

Calculate the over consolidation ratio of the clay layer : From the results of an oedometer test on an undisturbed sample of clay taken at a depth of 10 m from the ground surface, the maximum vertical preconsolidation pressure (s’vmax or s’c) was found to be 560 kPa. The clay layer has a saturated unit weigh..

Calculate the primary consolidation settlement : An oedometer test on a clay soil gave the following results: Cc = 0.4, Ce = 0.08, OCR = 5. The thickness of the clay layer in the field is 2.6 m. The existing vertical effective stress at the mid-depth of the clay layer is 150 kPa. This vertical effe..

Find an expression for the flowrate and average velocity : Water flows steadly in an open topped channel of rectangular cross section. The channel width is B and the depth of the water is D. The flow is designed using a rectangular coordinate system whose orgin is at the free surface midway

Calculate its elongation when a load of 300 n is applied : Consider a cylindrical nickel wire 2.0 mm in diameter and 3 x 10^4 mm long. Calculate its elongation when a load of 300 N is applied. Assume that the deformation is totally elastic.

Calculate the super-elevation required for a horizontal : Calculate the super-elevation required for a horizontal curve on a two-lane, two- way highway with 60 mph design speed, and a 1200 ft. radius curve. What is the required length of the spiral curve

Determine the final temperature when valve is opened : An adiabatic piston-cylinder device equipped with a spring maintains the pressure inside at at 300kPa when the volume is 0, and 3000kPa when the volume is 5 m3. The device is connected to a steam line maintained at 1500kPa and 200 C, and the initial ..

What is the minimum removal efficiency of the electrodialys : An electrodialysis is used to treat a stream of 125 m3/d produced water with a salinity of 13,000 mg/L NaCl before the produced water is discharged to the river with the flow rate of 5 million L/d and salinity of 20 mg/L NaCl

User Account

All Pages