A Francis turbine runner diameters are 2.5 m at inlet and 1.5 m at outlet. The discharge flow rate is 60 m3/s of water under a head of 70m. Its inlet blade angle is 100°. Assume: 1- Radial discharge at flow velocity of 14 m/s at outlet. 2- Constant runner width. 3- Turbine efficiency = 88% Estimate the followings:

Needs Complete solution with 100 % accuracy.

7) A pump has the following characteristic: Volume flow rate 23 46 69 92 115 (m³/h) Head (m) 17 16 13.5 10.5 6.6 The is used to pump water from a lower tank to a higher tank through a total length of pump 800 m of 150 mm diameter pipe. The difference between the water levels in the two tanks is 8m. Neglecting all losses except friction and assuming that C; = 0.004, find the rate of flow between the two reservoirs. [Ans: = 60m/hr]

B-A pump has the following parameters N=2133.5 RPM, Ns = 40 RPM, D= 37.1 cm and is used to pump water up to 90 m(H) at maximum efficiency operation: write the answer only (a) At what speed should the pump be operated to pump water up to (76 m)? (b) What is the discharge in each case? (c) What is pumping power needed in each case? (d) What is consumed electrical power in each case if max = 90%? e- A pump discharges liquid at the rate of Q against a head of H. If specific weight of the liquid is w, find the expression for the pumping power.

What is the required pump power (P.) for the system below? • The source reservoir is on the right side of the figure • The outflow is released as a water jet to the atmosphere (on the left) • Discharge rate is 0.11 mº/s Pipe total length is 180 m • Pipe diameter is 0.2 m Friction factor (f) is 0.01 • Minor losses are negligible EL: 480 m - EL: 330 m

A single jet Pelton wheel is required to drive a generator to develop 10Mw. The available head at the nozzle is 762m. Assuming electric generator efficiency is 95%, Pelton wheel efficiency 87%, coefficient of velocity 0.97, mean bucket velocity 0.46 of the jet velocity, outlet bucket angle 15° and the friction of bucket reduces the relative velocity by 15%, find (a) the flow rate of water through turbine (b) the diameter of the jet (c) the force exerted by the jet to the nozzle.

An inward flow reaction turbine has an external and internal diameters of runner 67.5 cm and 50 cm, respectively, and corresponding widths or breadths 15 cm and 22.5 cm, respectively. The effective head is 21 m. If the velocity of flow at inlet is 3 m/s and the guide vane angle is 12°, the runner vane is radial at inlet. Assume that the turbine discharges radially at outlet also.  A.  Find the outlet vane angle, in degree.  B. Find the Power developed, in kilowatts.

A proposed hydro-electric power plant has the following data:Elevation of normal headwater surface = 194 mElevation of normal tailwater surface = 60 mLoss of head due to friction = 6.5 mTurbine discharge at full gate opening = 5 m³/secTurbine efficiency at rated capacity = 90%Turbine is to be connected to a 60 cycle AC generator.Find the number of poles of the generator? ANSWER: 10 poles

PROBLEM 1 In an axial flow pump, the rotor has an outer diameter of 75 om and an inner diameter of 40 cm, it rotates at 500 rpm. At the mean blade radius, the inlet blade angle is 12 deg and the outlet blade angle is 15 deg Sketch the corresponding velocity diagrams at inlet and outlet and estimate the following (1) the head the pump will generate, A. 11.2 m B 17 6m C5.4 m D 19 8 m (ii) the discharge or rate of flow in l/s B. 203 s C.407 Us D 609 Vs A 705 Vs (iii) the shaft h.p input required to drive the pump and B 230 hp C:300 hp D 401 hp A 170 hp (V) the specific speed of the pump. B. 65 C.45 D 75 A 80

A Kaplan turbine delivering 40 MW works under a head of 35 m and runs at 167 rpm.The hub diameter is 2.5 m and runner tip diameter is 5 m. The overall efficiency is 87%.Determine the blade angles at the hub and tip and also at a diameter of 3.75 m. Also find the speed ratio and flow ratio based on tip velocity. Assume nH = 90%. Outlet blade angle at the tip O 11.75 20.3 43.7 O 52.5