Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 11, Problem 11.77P
Consider a Rankine cycle with saturated steam leaving the boiler at a pressure of 2 MPa and a condenser pressure of 10 kPa.
(a) Calculate the thermal efficiency of the ideal Rankine cycle for these operating conditions.
(b) It the net reversible work for the cycle is 0.5 MW, calculate the required flow rate of cooling watersupplied to the condenser at 15°C with an allowable temperature rise of 10°C.
(e) Design a shell-and-tube heat exchanger (one-shell, multiple-tube passes) that will meet the heat rateand temperature conditions required of the condenser. Your design should specify the number oftubes and their diameter and length.
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A. Calculate the thermal efficiency of a Rankine cycle in which the steam is initially dry saturated at 2 Mpa and the condenser pressure 7kN/m². Express this efficiency as a percentage of a Carnot cycle efficiency of the same limits of temperature.
B. If the steam leaves the boiler at 350°C with the same pressure of the boiler and condenser given above. Explain why the Rankine efficiency in (A) is less than in (B), and why the ratio of efficiencies of the
respective Rankine and Carnot is grater.
Q.3 A. Calculate the thermal efficiency of a Rankine cycle in which the steam is initially dry
saturated at 2 Mpa and the condenser pressure 75 kN/m?. Express this efficiency as a
percentage of a Carnot cycle efficiency of the same limits of temperature.
B. If the steam leaves the boiler at 350°C with the same pressure of the boiler and
condenser given above. Explain why the Rankine efficiency in (A) is less than in (B), and
why the ratio of efficiencies of the respective Rankine and Carnot is greater.
It is proposed to design and develop a Rankine cycle Steam Power Plant in which steam at 80 barand 500 oCis supplied to the turbine which exhausts at a pressure of 0.11 bar into a condenser. Condensate from the condenser is returned to Steam Generator (Boiler) by a Feedwater Pump. The processes in the turbine and pump can be assumed to be reversible adiabatic. In addition, pressure and temperature drops can be neglected throughout the cycle. Sketch the T-s diagram for this cycle and calculate the following performance parameters:i) Cycle Thermal Efficiency ii) Work Ratioiii) Specific Steam Consumptioniv) Condenser Heat Loadv) Mass flow rate of steam to generate a net power output of 40 Megawatts (MW).vi) Mass flow rate of cooling water required for the condenser if the cooling water inlettemperature is 26 oC and its outlet temperature is limited to 40 oC. The specific heat capacityof the cooling water is 4.18 kJ/kg K.viii) The total amount of sensible heat in kW supplied to the…
Chapter 11 Solutions
Fundamentals of Heat and Mass Transfer
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