Chapter 14, Problem 5P

A rectangular channel 2.0 m wide and 1.0 m deep carries a discharge of 4.0 m3/s. A horizontal datum is assumed 2.0 m below the channel bed at a certain point. Calculate the total energy and the specific energy at that point

A coal-fired power plant discharges 1 m^3/s of cooling water into a river, which has a flow of 9 m^3/s and a temperature of 20 degree C. According to the regulation, the temperature in the river immediately below the discharge cannot be increased by higher than 1 degree C. Therefore, what is the highest temperature of the cooling water is allowed for discharge?

A pipe is used to deliver water at a rate of 3.8 m³/s from the intake to the turbine. The difference in elevation between the intake’s water surface and the turbine is 200 m. Knowing the headloss in the pipeline from the intake to the turbine is 8 m, find the power (in kW) generated by the turbine if its efficiency is 80%.

You are asked to determine the  depth of the well in (cm)  for  a geothermal operation  for producing a power of  854.5 KJ/sec  for a water mass flow rate of 2.730 x 106 Kg / hour .

Calculate the specific energy of 13 m3/s of water flowing with a velocity of 1.5 m/s in a rectangular channel 7.5 m wide. Find the depth of water in the channel when the specific energy would be minimum. What would be the value of critical velocity as well as minimum specific energy?

At a proposed hydroelectric power plant site, the average elevation of headwater is 600m and the tailwater elevation is 480m. The average annual water flow is determined to be equal to that volume flowing through a rectangular channel 4m wide and 0.5m deep and average velocity of 5.5m/s. Assuming the plant will operate 350 days/year, find the energy kwh that the plant site can developed if the hydraulic turbine that will be used has an efficiency of 78% and generator efficiency of 90%. Consider a headwork loss of 4% of the available head.

Determine the total energy production of a run-of-river plant having an total efficiency of 85%. It receives flow by means of a penstock, 400m long with 1.2m diameter, and f=0.015 in Darcy-Weisbach equation. The available head is 200m and seasonal fluctuations of upstream and downstream water levels are ignored. The flow duration data are tabulated as below.

Water passes under a sluice gate in a horizontal rectangular channel of width 2.0 m. The depths of flow on either side of the sluice gate are 1.8 m and 0.3 m. Assuming no energy loss at the gate, calculate the force on the gate

For a 100 MW hydro power plant, calculate the water volumetric flow ratefor the 3 head values of 50m, 100m and 300m. Assume effective head to be85% of the gross head.