Pyrolysis model parameter optimization using a customized stochastic hill-climber algorithm and bench scale fire test data

Title of Document: PYROLYSIS MODEL PARAMETER OPTIMIZATION USING A CUSTOMIZED STOCHASTIC HILL-CLIMBER ALGORITHM AND BENCH SCALE FIRE TEST DATA Robert Dale Webster, Jr. Master of Science, 2009 Directed By: Professor Arnaud Trouvé Department of Fire Protection Engineering This study examines the ability of a stochastic hill-climber algorithm to develop an input parameter set to a finite difference one-dimensional model of transient conduction with pyrolysis to match experimentally determined mass loss rates of three sample materials exposed to a range of constant incident heat flux. The results of the stochastic hill-climber algorithm developed as part of the present study are compared to results obtained with genetic algorithms. Graphical documentation of the impact of single parameter mutation is provided. Critical analysis of the physical meaning of parameter sets, and their realistic range of application, is presented. Criteria are also suggested for stability and resolution of solid phase temperature and fuel mass loss rate in an implicit Crank-Nicolson scheme with explicit treatment of the heat generation source term. PYROLYSIS MODEL PARAMETER OPTIMIZATION USING A CUSTOMIZED STOCHASTIC HILL-CLIMBER ALGORITHM AND BENCH SCALE FIRE TEST DATA

[1]  Kevin B. McGrattan,et al.  Fire Dynamics Simulator (Version 5): User's Guide , 2007 .

[2]  Behdad Moghtaderi,et al.  An Integral Model for the Transient Pyrolysis of Solid Materials , 1997 .

[3]  S. Stoliarov,et al.  Prediction of the burning rates of non-charring polymers , 2009 .

[4]  Guillermo Rein,et al.  The application of a genetic algorithm to estimate material properties for fire modeling from bench-scale fire test data , 2006 .

[5]  Simo Hostikka,et al.  Estimation of pyrolysis model parameters for solid materials using thermogravimetric data , 2008 .

[6]  C. Diblasi,et al.  Modeling and simulation of combustion processes of charring and non-charring solid fuels , 1993 .

[7]  D. Drysdale An Introduction to Fire Dynamics , 2011 .

[8]  R. N. Walters,et al.  A molecular basis for polymer flammability , 2009 .

[9]  James G. Quintiere,et al.  A Semi-Quantitative Model For The Burning Rate Of Solid Materials , 1992 .

[10]  A. Fernandez-Pello,et al.  Application of genetic algorithms and thermogravimetry to determine the kinetics of polyurethane foam in smoldering combustion , 2006 .

[11]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[12]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[13]  C. Fernandez-Pello,et al.  Generalized pyrolysis model for combustible solids , 2007 .

[14]  A. Gray,et al.  I. THE ORIGIN OF SPECIES BY MEANS OF NATURAL SELECTION , 1963 .

[15]  C. Darwin The Origin of Species by Means of Natural Selection, Or, The Preservation of Favoured Races in the Struggle for Life , 1859 .

[16]  J. Crank,et al.  A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type , 1947, Mathematical Proceedings of the Cambridge Philosophical Society.

[17]  J. Staggs A Theoretical Investigation into Modelling Thermal Degradation of Solids Incorporating Finite-Rate Kinetics , 1997 .

[18]  Glenn P. Forney,et al.  Fire Dynamics Simulator (Version 2) -- Technical Reference Guide | NIST , 2001 .

[19]  Kevin B. McGrattan,et al.  Fire dynamics simulator (ver-sion 3) technical reference guide , 2001 .

[20]  D. Wolpert,et al.  No Free Lunch Theorems for Search , 1995 .