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5310 Combustion Introduction Lecture 15

5310 Combustion Introduction Lecture 15 - MAE 5310...

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1 MAE 5310: COMBUSTION FUNDAMENTALS Coupled Thermodynamic and Chemical Systems: Plug Flow Reactor October 25, 2011 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk
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2 PLUG FLOW REACTOR OVERVIEW Assumptions 1. Steady-state, steady flow 2. No mixing in the axial direction. This implies that molecular and/or turbulent mass diffusion is negligible in the flow direction 3. Uniform properties in the direction perpendicular to the flow (flow is one dimensional). This implies that at any cross-section, a single velocity, temperature, composition, etc., completely characterize the flow 4. Ideal frictionless flow. This assumption allows the use Euler equation to relate pressure and velocity 5. Ideal gas behavior. State relations to relate T, P, ρ , Y i , and h Goal: Develop a system of 1 st order ODEs whose solution describes the reactor flow properties, including composition, as a function of distance, x T=T(x) [X i ]=[X i ](x) P=P(x) V=u(x) x
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3 GOVERNING EQUATIONS ( 29 0 0 2 0 0 2 = - = +
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