Problem 3 Steam flows steadily into a turbine with a mass flow rate of 30 kg/s and a negligible velocity at 10 MPa and 700°C. The steam leaves the turbine at 0.8 MPa and 250°C with a velocity of 210 m/s. The rate of work done by the steam in the turbine is measured to be 26 MW. If the elevation change between the turbine inlet and exit is negligible, determine the rate of heat transfer associated with this process. m = 30 kg/s V₁~0m/s P₁ = 10 MPa T₁-700°C Qout Steam turbine V₂-210 m/s P=0.8 MPa T₂=250°C Wout -26 MW
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- A pump drawing water from a reservoir and discharging it into the atmosphereat point B. The pressure at point A in the suction pipe is negative < 200mmHg, and discharges 100 L/s. Determine the following.a. Energy head at point A with respect to the datumb. Energy head at point B with respect to the datumc. Energy head added by the pump without head loss.The difference in elevation between the surfaces of water in the storage reservoir and the intake to a turbine was 40.4m. During a test the pressure head at the later point was 38.6m and the discharge was 1.25 m/sec. What was the power delivered to the turbine in KWWater from a large tank enters into a pipe and discharges to the atmosphere through a nozzle connected at the other end of the pipe. The tip of the nozzle is located 240 m below the water surface in the reservoir. The jet formed at the tip of the nozzle has a diameter of 100 mm and velocity of 60 m/s. Neglecting minor losses, a) Compute the power produced by the jet in hpb) compute the power lost due to friction in the pipe
- A liquid of specific gravity SG = 1.62 flows in a 75 mm diameter horizontal pipe. The total energy at a certain point in the flow is 81 m. The elev. and pressure at this point is 4.7 m., and 63,716 Pa, respectively. Compute the discharge (in m3/s) in the pipe. Round off to three decimal places.Steam enters a long, horizontal pipe with an inlet diameter of D1=12 cm with a velocity of 2 m/s. And out let D2=10 cm, Determine (a) the mass flow rate of the steam and (b) the rate of heat transfer Take; h1 = 3051.6 kJ/kg; h2 = 2950.4kJ/kg, v=0.25799 m3 /kgA liquid of specific gravity of 1.75 flows in a 6 cm horizontal pipe. The total energy at certain point in the flow is 80 J/N (joules/newton). The elevation of the pipe above the fixed datum is 2.6 m. If the pressure is 75 kPa. Determine the velocity of flow in m/s. A.23.86 b.32.45 c.37.85 d.42.25l
- A pump is attached to a fire hydrant, where it is desired to produce a jet that rises to a maximum height of 40 m and delivers water at a rate of 100 L/s. At the attachment location, the diameter is 100 mm and the pressure is estimated as 150 kPa. The discharge nozzle has a diameter of 80 mm and is inclined at an angle of 50 degrees to the horizontal. If friction losses are neglected, estimate the head that must be added by the pump to achieve the desired objective. The path of the water jet is parabolic.2) Water vapor enters a continuous flow adiabatic turbine at 15 MPa pressure, 500 oC temperature and 90 m/s velocity, and exits at 20 kPa pressure, 92% dryness and 80 m/s speed. Since the mass flow rate of the steam is 43.2 tons/h, a) The power produced in the turbine (in MW, HP, ton.km/h), b) Find the turbine inlet and outlet cross-sectional areas (in m2, cm2).Solve the heat equation ut=cuxx on the domaion 0≤x≤2, t>0 subject to u(x,0)=x(x−2), u(0,t)=0,u(2,t)=0
- 3.Consider a system with a specific discharge of 3 m2/s as shown in Figure 2. Thedepth, y1, upstream of the step is 2 meters. The downward step height is 0.2 meters. (a) Determine the Froude number of upstrem and downstrem of flow(b) Determine the upstream and downstream specific energy, E.The nozzle which furnished the water to a certain hydraulic turbine 275mm in diameter and has coefficients of velocity and discharge of 0.98 and 0.96, respectively. The nozzle is supplied from a 60cm pipe in which the water approached the nozzle with a total head of 330m. Compute the following: a. Energy per second delivered by the jet to the turbine. b. Energy measured in hp lost in passing through the nozzle.The water taken from a stream at an average speed of 5 m/s is transferred to the turbine by a forced (pressurized) pipe system in order to generate electrical energy. After passing through a 10 m3/s flow rate turbine passing through a pressure pipe, it is poured into the lake downstream. the total irreversible (irreversible) load (energy) loss Dec the piping system between points 1 and 2 (excluding the turbine) is determined as 8 m. Calculate the theoretical and actual power of the turbine by taking the efficiency of the turbine generator set, η = 0.85.