a) A suction pump. Consider a pipe that is inserted vertically into water. By suction, the pipe is evacuated of air. How high will the water rise? b) A water turbine is designed to extract kinetic energy from the hor- izontal flow of water and convert it into rotation of the turbine. You may assume that the height of the fluid does not change as it flows through the turbine, and that the fluid is incompressible. If the velocity is lowered from 100 m/s to 70 m/s as the fluid flows through the turbine, what is the change in pressure? c) Is the pressure higher upstream or downstream?

A shower head in your apartment needs to have water come out with a speed of 9.6m/s. The shower head has 20 circular openings. Each opening has a radius of 1mm. The shower head is connected to a pipe with radius of 0.8cm. The bathroom pipe is 8m above the ground level. The pipe at the ground level has twice the radius of the pipe in the bathroom upstairs. a) What is the volume flow rate at the ground floor? b) What must be the gauge pressure between the ground floor and the bathroom pipe? c) What is the gauge pressure between the bathroom pipe and the shower head opening where the water exits the shower head?

5. Consider two tanks, A and B, each with a large opening at the top. The two tanks contain different liquids. A small hole is made in the side of each tank at the same depth h below the liquid surface, but the hole in tank A has three times the cross-sectional area of the hole in tank B. (a) If it is known that the mass flow rate is the same for the two holes, find the ratio of PALPB of the densities of the liquids in tanks A and B. (b) (c) equal volume flow rates, what height above the hole must the liquid in tank A be just then? Find the ratio RVAIRVB of the volume flow rates from the two tanks. At one instant, the liquid in tank B is 90 cm above the hole. If the tanks are to have

5.19 Consider the piping system shown in the following diagram. The pump operates at 1750 rpm. El 1475' L= 8000'; D = 12";f=0.026 El 1200' Pump 106 Turbomachinery: Concepts, Applications, and Design The pump curve is given by h,=350-24Q² where h, is given in ft. and Q in cfs. What would the head and flow rate delivered be under these conditions? Ans: Q=160 cfs; h,=288 ft 5.20 Solve the previous problem for two identical pumps connected in (a) series and (b) parallel. Ans: a) Q=2.83 cfs, h,=315 ft; b) Q=2.58 cfs; h,=310 ft %D

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.

A pump has overall efficiency of 70 %. It delivers 90 Ipm at 1000 rpm and 700 N/cm". If the prime mover input torque is 12 KN-cm, calculate a) the actual torque of the pump b) volumetric displacement in cm". Comment on the significance of torque in pumps. A BI

Uz な、 以う0 Vrz VF = Vz Ure Maxe Dr. Ayser Muneer Turbomachines Example (5-2) An inward flow reaction turbine is supplied with water at a rate of (600 Vsec) with a 3 velocity of flow of (2 m/sec). the velocity of periphery and velocity of whirl at inlet are 24 m/sec and 18 m/sec respectively. Assuming radial discharge at outlet and the velocity of flow to be constant, find; 1- Vane angle at inlet, and 2- Head of water on the wheel. V Solution Vn Q = 0.6 m/sec, Vn=2m/sec, uj=24 m/sec, Vu=18m/sec, V1=Vr2 m/sec

find a and b. A jet of water of diameter 50 mm, having a velocity of 30 m/s strikes a curved vane which is moving with a velocity of 15 m/s. The jet makes an angle of 30º with the direction of motion of vane at inlet and leaves at an angle of 120º to the direction of motion of vane at outlet,Calculate: a) Vane angles, if water enters and leaves the vane without shock b) work done per second per unit weight of water striking the vanes per second.