Question 2: A Pelton wheel turbine is used in a hydroelectric plant to generate electric power. In this turbine, a high-speed jet with a velocity of V, impinges on buckets at a radial position of r, forcing the wheel to rotate. The Buckets reverse the direction of the jet, and the jet leaves the bucket making an angle B with the direction of the jet, as shown in the figure. Vi Shaft Vi Nozzle Vix y If the wheel has a counterclockwise angular speed of w, what would be a) the magnitude of fluid stream velocity leaving the bucket, V. What would be the velocity component in the horizontal direction, V? b) Assume the volumetric flow of water is Q and its density is p. Derive a formula for the torque applied on the wheel, T, from water. Derive a formula for power, W, that this wheel can deliver as a function c) of V,. B, w, r, and p. d) Wmax? At what angular speed, w, does the wheel delivers its maximum power,

Question 2: A Pelton wheel turbine is used in a hydroelectric plant to generate electric power. In this turbine, a high-speed jet with a velocity of V, impinges on buckets at a radial position of r, forcing the wheel to rotate. The Buckets reverse the direction of the jet, and the jet leaves the bucket making an angle B with the direction of the jet, as shown in the figure. Vi Shaft Vi Nozzle Vix y If the wheel has a counterclockwise angular speed of w, what would be a) the magnitude of fluid stream velocity leaving the bucket, V. What would be the velocity component in the horizontal direction, V? b) Assume the volumetric flow of water is Q and its density is p. Derive a formula for the torque applied on the wheel, T, from water. Derive a formula for power, W, that this wheel can deliver as a function c) of V,. B, w, r, and p. d) Wmax? At what angular speed, w, does the wheel delivers its maximum power,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The velocity of water and pressure at the suction side of a pump is 4m/s and 90kPa respectively. If the velocity of water is 8m/s and the pressure is 140kPa on the discharge side of a pump, what is the head added by the pump?
H.W: The inlet diameter of the centrifugal pump, shown in figure below, is 28 in. and the outlet flow through the pump is 9200 lb/s. The density of the water is 49 lb/ft. What is the velocity at the pump inlet? Ib m = 9200 sec 28 in. V = ? --
An outward flow reaction turbine has inner and outer diameter of the wheel as 1 m and 2 m respectively. The water enters the vane at an angle of 20⁰ and leaves the vanes radially if the velocity of flow remains constant as 10 m/s and the speed of the wheel be 300 r.p,m find the vane angles at inlet and outlet.
Problem 5 A Pelton turbine has six nozzles (see the figure to the right, credit Wikipedia). Each of the nozzles has an outlet velocity of 100 m/s and an exit area of 0.05 m². If the radius of the turbine is 3 meters, and the rotational velocity is 20 rad/s, what is the power generated by the turbine?
3. For a Pelton turbine the pressure of the flow before the nozzle is 5 bar while the velocity of flow leaving the nozzle is 31m/s. If the speed of the turbine is 500 rpm and the wheel diameter is 1.5 m, the efficiency of the nozzle will be: а. 0.96 b. 0.97 c. 0.98 d. 0.99 e. None of the them.
4. A centrifugal pump delivers 1500 L/min of water from an initial pressure of 156 kPa to a final pressure of 328 kPa. The area of the inlet pipe is 315 cm² and the area of the discharge pipe is 80 cm?. Solve for the power input to the pump, kW.
An inward flow reaction turbine, having an inner and outer diameter of 0.45m and 0.90m, respectively. The vanes are radial at inlet and the discharge is radial at outlet and the water enters the vanes at an angle of 12°. Assuming the velocity of flow as constant and equal to 2.8m/s, find the speed of the wheel and the vane angle at outlet. Show schematic diagram and provide solutions.
4. to convert the kinetic energy of water into the mechanical shaft energy. Water enters the turbine, at the inlet, with the velocity Vin = 40m/s and the mass flow rate m=1,000kg/s. Water exits the Vi,z40ms turbine with a negligible velocity, say, Vout = 0 m/s.The efficiency of m - loooly/s Figure on the right shows a hydraulic turbine designed HzO HzO the turbine is 75 %. Potential energy and flow work can be ignored. 4а. Please calculate the specific kinetic energy of water entering the turbine ( ɛr or ke; in J/kg). 4b. Please calculate the rate of total kinetic energy of the water flow ( É̟ or KĖ ; in J/s or W) 4с. Please determine the mechanical power output of this turbine (Wou; in W or kW). 4d. Please determine how much mechanical energy would this turbine generate during an hour
4. A pump has a displacement volume of 6in³. It delivers 24gpm at 1000rpm and 1000psi. If the prime mover input torque is 1100in.lb, (a) What is the overall efficiency of the pump? (b) What is the theoretical torque required to operate the pump?
A Pelton wheel develops 1800 kW under a head of 120 m while running at 210 rpm and discharging of 2.5 m°/s of water. If the head is reduced to 80 m, find the new discharge, power and speed of turbine A.
3. For a Pelton turbine the pressure of the flow before the nozzle is 5 bar while the velocity of flow leaving the nozzle is 31m/s. If the speed of the turbine is 500 rpm and the wheel diameter is 1.5 m, the efficiency of the nozzle will be: a. 0.96 b. 0.97 c. 0.98 d. 0.99
QI: If the overall efficiency of the system and turbine in the figure below is 80 percent. What power is produced for H=60m and Q= 30m'/s? H 3 m diam Water