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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 1 Open System Analysis-1. Conservation of Mass Spring Work Where x is displacement of spring from rest

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 2 Open System Analysis-1. Conservation of Mass Work from expansion of solid bars Where σ n is the normal stress, N/m 2

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 3 Open System Analysis-1. Conservation of Mass Stretching a liquid film Where σ s is surface tension in N/m

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 4 Open System Analysis-1. Conservation of Mass Raising or accelerating a body

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 5 Open System Analysis-1. Conservation of Mass Nonmechanical work Electrical –force is voltage and displacement is electrical charge Magnetic –magnetic field strength is force –total magnetic dipole moment is the displac. etc.

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 6 Open System Analysis-1. Conservation of Mass OPEN SYSTEMS ANALYSIS - 1 Conservation of Mass

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 7 Open System Analysis-1. Conservation of Mass What are open systems? System

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 8 Open System Analysis-1. Conservation of Mass Steady and unsteady mass flow in a control volume...

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 9 Open System Analysis-1. Conservation of Mass An unsteady situation: dm C.V. /dt >0 Mass flow into control surface, kg/s Mass in system,m(t) Control surface Control Volume

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 10 Open System Analysis-1. Conservation of Mass A steady situation: dm C.V. /dt =0 Massoutflow Massinflow Control surface Control Volume

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 11 Open System Analysis-1. Conservation of Mass An unsteady situation: dm C.V. /dt >0 Massoutflow Massinflow Control surface Control Volume

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 12 Open System Analysis-1. Conservation of Mass The general balance principle for the lumped system: A rate equation Rate of change of mass in system = Rate of all mass inflow Rate of all mass outflow - Net rate of mass creation +

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 13 Open System Analysis-1. Conservation of Mass Rate of change of mass in the control volume = Rate of all mass inflow =

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 14 Open System Analysis-1. Conservation of Mass Rate of all mass outflow = Net rate of mass creation =

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 15 Open System Analysis-1. Conservation of Mass General lumped form

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 16 Open System Analysis-1. Conservation of Mass Steady state lumped form

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 17 Open System Analysis-1. Conservation of Mass Average velocities...

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Instructor’s Visual Aids Heat Work and Energy. A First Course in Thermodynamics © 2002, F. A. Kulacki Chapter 3 Module 3 Slide 18 Open System Analysis-1. Conservation of Mass Mass flow Average velocity or mass average velocity

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