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CHAPTER
Idealized Flow Machines 1
CHAPTER OUTLINE
1.1 Conservation Equations 1
1.1.1 Conservation of mass 2
1.1.2 Conservation of momentum 3
1.1.3 Conservation of energy 3
1.2 Flow Machines with No Heat Addition: The Propeller 3
1.2.1 Zero heat addition with V V 3
e 0
1.2.2 Zero heat addition with V V 4
e 0
1.2.3 Zero heat addition with P ¼ constant 04
1.2.4 Propulsive efficiency4
1.3 Flow Machines with P [ 0 and Q [ Constant: The Turbojet, Ramjet, and Scramjet5
1.3.1 Heat addition, Q 0 5
1.3.2 Constant heat addition, Q ¼ constant 0 7
1.3.3 Overall efficiency8
1.3.4 Fuel efficiency8
1.4 Flow Machines with P [ 0, Q [ Constant, and A0 [ 0: The Rocket 11
1.5 The Special Case of Combined Heat and Power: The Turbofan 12
1.5.1 Very small bypass ratio, b 1, the turbojet15
1.5.2 Very large bypass ratio, b [ 1, the turboprop 15
1.5.3 Finite b, the turbofan16
1.6 Force Field for Air-Breathing Engines 16
1.7 Conditions for Maximum Thrust 22
1.8 Example: Jet and Rocket Engine Performance 25
1.8.1 Jet engine performance25
1.8.2 Rocket engine performance 26
1.9 Nomenclature 27
1.9.1 Subscripts 28
1.10 Exercises 29
Reference 34
1.1 CONSERVATION EQUATIONS
A flow machine is one that ingests a stream of fluid, processes it internally in some fashion, and then
ejects the processed fluid back into the ambient surroundings. An idealization of such a generalize
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