5310 Combustion Introduction Lecture 14

# 5310 Combustion Introduction Lecture 14 - MAE 5310...

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MAE 5310: COMBUSTION FUNDAMENTALS Coupled Thermodynamic and Chemical Systems: Well-Stirred Reactor (WSR) Theory October 20, 2011 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk

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WELL-STIRRED REACTOR THEORY OVERVIEW Well-Stirred Reactor (WSR) or Perfectly-Stirred Reactor (PSR) is an ideal reactor in which perfect mixing is achieved inside the control volume Extremely useful construct to study flame stabilization, NO x formation, etc.
APPLICATION OF CONSERVATION LAWS ( 29 0 , , , , , = - + = = - + = out i in i i i i i i i i i out i in i i cv i Y Y m V MW Y m m MW m m m m V dt dm ϖ Rate at which mass of i accumulates within control volume Rate at which mass of i is generated within control volume Mass flow of i into control volume Mass flow of i out of control volume Relationship between mass generation rate of a species related to the net production rate

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APPLICATION OF CONSERVATION LAWS [ ] ( 29 [ ] ( 29 [ ] [ ] ( 29 ( 29 ( 29 - = - = = = = = = = N i in i in i N i i out i in out N j j j i i i out i cv i i T h Y T h Y m Q h h m Q MW X MW X Y T X f T X f 1 , 1 , 1 , , ϖ Outlet mass fraction, Y i,out is equal to the mass fraction within the reactor Conversion of molar concentration into mass fraction (see slide 2) So far, N equations with N+1 unknowns, need to close set Application of steady-flow energy equation Energy equation in terms of individual species
WSR SUMMARY Solving for temperature and species mass fraction is similar to calculation of adiabatic flame temperature (Glassman, Chapter 1) The difference is that now the product composition is constrained by chemical kinetics rather than by chemical equilibrium WSR (or PSR) is assumed to be operating at steady-state, so there is no time dependence Compared with the constant pressure and constant volume reactor models considered previously

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## This note was uploaded on 02/11/2012 for the course MAE 5310 taught by Professor Danielkirk during the Fall '09 term at FIT.

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5310 Combustion Introduction Lecture 14 - MAE 5310...

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