In the jet impact experiment, water jet impacts on a curved vane in the vertical direction. As shown in the figure below, the exit has an angle with respect to the vertical direction. The distance from the nozzle to the vane surface at the exit is h. The water volume flow rate is measured to be Q, the density of water is p, and the cross section area of the nozzle is Ao. Assume that the flow has reached the steady state. (1)】 Use the Bernoulli's equation to determine the velocity vout at the exit of the vane. Assume that friction between water and the curved vane can be neglected. (2) Apply the Reynolds transport theorem to derive the expression of the impact force F, on the curved vane (neglect the jet weight). (3) Under the condition of a fixed volume flow rate Q, determine the maximum impact force Fr,max that can be obtained when the angle varies (e.g. in different vane designs). Vout Ao Vout h

A centrifugal fan rotates at a speed of 1460r/min and must deliver 1, 3m^3/s of air of density 1,22kg/m^3 at a total pressure of 370pa. Assume the manometric efficiency of the fan is 55% and that the whirl velocity at the exit of the impeller is double that of the peripheral velocity. Ignore mechanical losses and calculate a) the peripheral velocity of the impeller. b) the diameter of the impeller c) the power required to drive the fan

Towards the inside of a cylindrical tank with diameter: D = 24 m, water flows through a tube 1 with a velocity v1 = 20 m / s and exits through tubes 2 and 3 with velocities v2 = 8 m / s and v3 = 10 m / s respectively. At 4 there is a vent valve open to the air from the atmosphere. (a) What is the speed with which the level rises of water in the tank? (b) what is the average velocity of the air flow at valve 4? assuming air is incompressible. Assume the following pipe diameters: D1 = 3 m, D2 = 2 m, D3 = 2.5 m, D4 = 2 m, consider that the density of water is: ρw = 103 kg / m3 , and the density of air is: ρa = 1.2 kg / m3

A thin disc with mass 0.018 kg is kept balanced by a jet of air. The diameter of the jet at the nozzle exit is 5 mm. Find the air jet velocity in m/s. Please note that the only forces involved are the weight of the disc and the force from the air jet (the two are balanced). Use the air density of 1.07 kg/m^3 , g = 9.81 m/s^2 and the correction factor beta of 1

A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles(d)calculate the water horsepower.

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

Q4. Water from a reservoir is conveyed via a pipeline of constant diameter and 1000m length to a turbine situated 90m below the reservoir surface level. The velocity of flow through the pipeline is 5m/s and the energy loss due to friction in the pipeline is 200J/kg. The water leaves the turbine at atmospheric pressure (100 kN/m2) and with negligible velocity. Assuming an efficiency of 85% for the turbine, determine: a). Pipeline diameter b). Pressure at entry to turbine c). Turbine power output. Take f = 0.025

Problem 1. Air in a diffuser (diffuser: A device that increases pressure of a fluid by decreasing fluid velocity). Air enters the diffuser at a inlet outlet steady velocity of 200 m/s, T= 10 °C, and P = 80 kPa. The inlet area of the diffuser is 0.4 m². The air leaving the diffuser (outlet) has a very diffuser small velocity compared to the inlet velocity. Find the mass flow rate (kg/s) of the air and the temperature (°C) leaving the diffuser.

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Q4) The nozzles receive steam at 1.75 MPa, 300 °C, and exit pressure of steam is 1.05 MPa. If there are 16 nozzles, find the cross-sectional area of the exit of each nozzle for a total discharge to be 280 kg/min. Assume nozzle efficiency of 90%. If the steam has velocity of 120 m/s at the entry to the nozzles, by how much would the discharge be increased?