Operational Reactor Safety - MIT OpenCourseWare. Andrew C. Kadak, 2008 Department of Nuclear Science...

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Prof. Andrew C. Kadak, 2008 Page 1 Department of Nuclear Science & Engineering Operational Reactor Safety 22.091/22.903 Professor Andrew C. Kadak Professor of the Practice Lecture 8 Power Cycles for Nuclear Plants Rankine and Brayton

Transcript of Operational Reactor Safety - MIT OpenCourseWare. Andrew C. Kadak, 2008 Department of Nuclear Science...

Prof. Andrew C. Kadak, 2008Page 1Department of Nuclear Science & Engineering

Operational Reactor Safety22.091/22.903

Professor Andrew C. KadakProfessor of the Practice

Lecture 8Power Cycles for Nuclear Plants

Rankine and Brayton

Prof. Andrew C. Kadak, 2008Page 2Department of Nuclear Science & Engineering

Topics to be Covered• Review of Rankine Cycle

– Basic

– Superheat

– Multi-fluid cycles

• Brayton cycle

• Pressure Ratios

Prof. Andrew C. Kadak, 2008Page 3Department of Nuclear Science & Engineering

Important Terms and Concepts

• Enthaply - h = Btu/lbm (heat content)

• Entropy - Btu/0R

• Specific Heat - Cp Btu/lbm 0R at constant pressure

• Mass Flow Rate = m - lbm/hr

• Pressure Ratio - P2/P1 (For gas systems)

• Power – Watts - Btu/hr

• Work - Btu

• Efficiency - (Wt - Wp) / Qin (Heat Added)

.

..

Prof. Andrew C. Kadak, 2008Page 4Department of Nuclear Science & Engineering

Governing Equations• Heat Transfer

– Mass flow, specific heat, temperature

– Mass flow, specific enthalpy

– Efficiency factors – heat loss

• Use of Steam Tables

• Quality

Prof. Andrew C. Kadak, 2008Page 5Department of Nuclear Science & Engineering

Thermal Efficiency = Heat Added - Heat RejectedHeat Added

Rankine Cycle

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Prof. Andrew C. Kadak, 2008Page 6Department of Nuclear Science & Engineering

Important Equations

Qin = m (h1 - hB)Wt = m (h1 - h2)Wp = m (hB - h3)

...

Qin = Cp m (Tin – Tou).

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Prof. Andrew C. Kadak, 2008Page 7Department of Nuclear Science & Engineering

Rankine Cycle with Feedwater Heaters

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Prof. Andrew C. Kadak, 2008Page 8Department of Nuclear Science & Engineering

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Prof. Andrew C. Kadak, 2008Page 9Department of Nuclear Science & Engineering

Power Cycles

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Prof. Andrew C. Kadak, 2008Page 10Department of Nuclear Science & Engineering

Binary Cycle Plants

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Gas Reactor Cycles

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Brayton Gas Cycle - Open

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Perfect Gas Relationships

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Prof. Andrew C. Kadak, 2008Page 14Department of Nuclear Science & Engineering

Indirect Brayton Open Cycle

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1

23

4

Brayton Cycle – Direct Closed

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Prof. Andrew C. Kadak, 2008Page 16Department of Nuclear Science & Engineering

Indirect Closed Cycle – Gas to Gas

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Prof. Andrew C. Kadak, 2008Page 17Department of Nuclear Science & Engineering

Indirect Gas to Steam Generator

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Prof. Andrew C. Kadak, 2008Page 18Department of Nuclear Science & Engineering

Specific Heats of Gases

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Prof. Andrew C. Kadak, 2008Page 19Department of Nuclear Science & Engineering

Ideal Brayton Cycle

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Non-Ideal Brayton Cycle

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Prof. Andrew C. Kadak, 2008Page 21Department of Nuclear Science & Engineering

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Prof. Andrew C. Kadak, 2008Page 22Department of Nuclear Science & Engineering

Gas-Steam Reactor Power Plant

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Prof. Andrew C. Kadak, 2008Page 23Department of Nuclear Science & Engineering

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Prof. Andrew C. Kadak, 2008Page 25Department of Nuclear Science & Engineering

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Prof. Andrew C. Kadak, 2008Page 26Department of Nuclear Science & Engineering

Reading and Homework Assignment

1. Outside Reading El Wakil Chapters 7, 8

1. Handout Problem

Prof. Andrew C. Kadak, 2008Page 27Department of Nuclear Science & Engineering

Handout Problem

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22.091 Nuclear Reactor SafetySpring 2008

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