Question

A horizontal steady-state turbine is being designed to serve as an energy source for a small...

A horizontal steady-state turbine is being designed to serve as an energy source for a small electrical generator. (assume its adiabatic and frictionless) The power required from the turbine is 1037 kW. The inlet to the turbine is steam at T1 = 600 0 C and P1 = 10 bar, with a mass flow rate of 2.5 kg/s. The inlet pipe is 10 cm in diameter. The conditions at the turbine exit are T2 = 400 0 C and P2 = 1 bar. From this information, recommend a diameter for the outlet pipe.

Engineering   Chemical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Approximate calculation:

Assuming ideal behavior, V2/V1 = P1*T2/(P2*T1) = 10*673/(1*873) =7.709

Ratio of areas A2/A1= 7.709

(D2/D1)^2 = 7.709

D2/D1 = 2.776

Hence outlet diameter = 2.776*10 cm = 27.76 cm

Detailed Calculation :

Here work required by turbine, W = mx(h1-h2)

m is mass flowrate, x is steam fraction,h1 & h2 are Enthalpies at inlet (P1=10 bar,T1=873K) and outlet(P2=1bar,T2=673K)

x = 1.0 for pure steam

w= 1037 kW

m= 2.5 kg/s

From steam temperature table ratio of specific volumes V2/V1 = 6.014

D2= 24.52 cm

From steam pressure table ,ratio of specific volume ,V2/V1= 8.613

D2= 29.35 cm

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Water at p1 = 20 bar, T1 = 400oC enters a turbine operating at steady state...
Water at p1 = 20 bar, T1 = 400oC enters a turbine operating at steady state and exits at p2 = 1.5 bar, T2 = 230oC. The water mass flow rate is 4000 kg/hour. Stray heat transfer and kinetic and potential energy effects are negligible. Determine the power produced by the turbine, in kW, and the rate of entropy production in the turbine, in kW/K.
Question 1 A steam turbine drives an electric generator (so the turbine delivers shaft work). The...
Question 1 A steam turbine drives an electric generator (so the turbine delivers shaft work). The inlet steam flows through a 12.0 cm diameter pipe to the turbine at the rate of 2.50 kg/s at 600.0 °C and 10.0 bar absolute. The exit steam discharges through a 25.0 cm diameter pipe at 400.0 °C and 1.00 bar absolute. The turbine is adiabatic, and the process is at steady state. Neglect the potential energy effects. ̇ (a) Calculate ∆Ek term for...
A steam turbine has inlet steam pressure p1 = 1.4 MPa absolute. Inlet steam temperature is...
A steam turbine has inlet steam pressure p1 = 1.4 MPa absolute. Inlet steam temperature is T1 = 400 oC. This corresponds to inlet enthalpy per unit mass of h1 = 3121 kJ/kg. Exit pressure of the steam is p2 = 101 kPa absolute. Exit steam temperature is T2 = 100 oC. This corresponds to exit enthalpy per unit mass of h2 = 2676 kJ/kg. Inlet speed of the steam is V1 = 15 m/s and exit speed is V2...
Consider now a turbine(Q=0) that operates with N2 steam with T1 = 753.15K and P1 =...
Consider now a turbine(Q=0) that operates with N2 steam with T1 = 753.15K and P1 = 6 bar and P2 = 1 bar. The efficiency is 80% and the molar flowrate is (note not mass flow rate) is 200 mol/s. The inlet velocity is 30 m/s and the exit velocity is 120 m/s. The inlet is 6 m above the base of the turbine and the exit is 2 m above the base.   a. Determine the output of the turbine...
1. You are to do a preliminary design study for a small demonstration steam turbine power...
1. You are to do a preliminary design study for a small demonstration steam turbine power plant. - Steam will be provided by a small steam generator fired by natural gas.   - Your system will take in steam at 30 bar and 400 oC. - The steam passes through a two stage turbine. At a pressure of 10 bars, the steam leaves the first stage of the turbine and will pass through a reheat loop in the steam generator which...
1. A feedwater heater operating at steady state has two inlets and one exit. At inlet...
1. A feedwater heater operating at steady state has two inlets and one exit. At inlet 1, water vapor enters at p1 = 7 bar, T1 = 200oC with a mass flow rate of 40 kg/s. At inlet 2, liquid water at p2 = 7 bar, T2 = 40oC, density = 992.260 kg/m3 enters through an area A2 = 25 cm2. Liquid water at 7 bar with a density of 902.527 kg/m3 exits at exit 3 with a volumetric flow...
13)  A turbine, operating under steady-flow conditions, receives 5000 kg of steam per hour. The steam enters...
13)  A turbine, operating under steady-flow conditions, receives 5000 kg of steam per hour. The steam enters the turbine at a velocity of 3000 m/min, an elevation of 5 m and a specific enthalpy of 2787 kJ/kg. It leaves the turbine at a velocity of 6000 m/min, an elevation of 1 m and a specific enthalpy of 2259 kJ/kg. Heat losses from the turbine to the surroundings amount to 16736 kJ/h. Determine the power output of the turbine. 14) 12 kg...
1- A certain amount of O2, as an ideal gas, is contained in a cylinder-piston system...
1- A certain amount of O2, as an ideal gas, is contained in a cylinder-piston system and develops a process from T1 = 300 K, P1 = 200 kPa to T2 = 1500 K and P2 = 150 kPa. Determine the specific entropy change in kJ / (kg K). 2- A certain amount of H2O in a closed rigid cylinder is cooled from T1 = 800 ° F and P1 = 100 lbf / in2 to P2 = 20 lbf...
1) A nozzle is a device for increasing the velocity of a steadily flowing stream of...
1) A nozzle is a device for increasing the velocity of a steadily flowing stream of fluid. At the inlet to a certain nozzle the enthalpy of the fluid is 3025 kJ/kg and the velocity is 60 m/s. At the exit from the nozzle the enthalpy is 2790 kJ/kg. The nozzle is horizontal and there is negligible heat loss from it. (i) Find the velocity at the nozzle exit. (ii) If the inlet area is 0.1 m2 and specific volume...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT