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Transient conservation of mass and conservation of energy

ME 525: Combustion Lecture 7: Coupling of Chemical and Thermal Analyses, Constant Volume, Constant Pressure Reactors. Transient conservation of mass and conservation of energy principles coupled with concepts associated with chemical reactions

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Transient conservation of mass and conservation of energy

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  1. ME 525: CombustionLecture 7: Coupling of Chemical and Thermal Analyses, Constant Volume, Constant Pressure Reactors • Transient conservation of mass and conservation of energy • principles coupled with concepts associated with chemical reactions • including equilibrium and finite rate reactions. • Constant Pressure Reactors • Constant Volume Reactors • Applications of Reactor Models

  2. Transient Conservation of Mass Equations • For a control mass • For Ideal Gas in a control mass • For P-dv work mode in the control mass

  3. Transient Conservation of Species Equations • For a control mass • Summing over all species must retrieve • conservation of mass

  4. Transient Conservation of Energy Equation • For a control mass • Defining heating value and average specific heat of the • mixture

  5. Control Mass Reactor Model Summary • Energy (1), Species (N), Mass Conservation (1) and Constitutive (eg. P-v-T relationship) Energy Species Mass Text Book derives the reactor equations on a molar basis for constant volume and constant pressure and on a mass basis for the well stirred and plug flow reactors.

  6. Applications of Reactor Models • Combustion in Otto and Diesel Cycle Engines using constant volume • and constant pressure reactor theory for cycle analyses including • challenges such as engine knocks, fuel blending, fuel flexibility, and • engine control algorithms (See example 6.1). • Combustion in Gas turbine engines and rocket engines using well stirred • (See Example 6.2, 6.4), plug flow and network (see Fig. 6.12) reactors. • Reactor networks allow consideration of global as well as detailed • chemistry and a combination of the two. Additional approximations • such as full or partial equilibrium of some species and ultra-slow, fast, • and ultra-fast reactions of other species. • Reactor networks also allow consideration of additional heat transfer • and work modes such as radiation heat transfer and electrochemical • work for applications including those involving batteries. • Some models of turbulent combustion rely on reactor networks of various • sizes and time scales.

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