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Shock tube experiments, paired with precision laser diagnostics, are idealvenues to provide kinetics data critically needed for the development,validation and optimization of modern combustion kinetics models. However, todesign sensitive, accurate, feasible and information-rich experiments that mayyield such data often requires sophisticated planning. This study presents amathematical framework and quantitative approach to guide such experimentaldesign, namely a method to pin-point the optimal conditions for specificexperimentation under realistic constraints of the shock tubes and diagnostictools involved. For demonstration purpose, the current work is focused on a keytype of shock tube kinetic experiments -- direct determination of fundamentalreaction rate constants. Specifically, this study utilizes a Bayesian approachto maximize the prior-posterior gain in Shannon information of the rateconstants to be inferred from the intended experiment. Example application ofthis method to the experimental determination of the CH$_3$OH + H (k$_1$) andCH$_2$O + H (k$_2$) rate constants is demonstrated in shock tube/laserabsorption studies of the CH$_3$OH pyrolysis system, yielding new recommendedrate constant expressions (over 1287 K - 1537 K) as: k$_1$ = $ 2.50 \times 10^6(T/K)^{2.35} exp(-2975 K /T) \, cm^3mol^{-1}s^{-1} \pm 11.4\%$ and k$_2$ =$7.06 \times 10^7 (T/K)^{1.9} exp(-1380 K/T) \, cm^3mol^{-1}s^{-1} \pm 9.7 \%$.Potential extension to other types of kinetic studies, e.g. prediction ofcombustion benchmarks such as ignition delay times and species yields, andglobal uncertainty minimization of generic reaction models, are also brieflydiscussed.

Information-Driven Design for Shock Tube / Laser Absorption Studies of  Fundamental Rate Constants in Combustion, with Application to Methanol  Pyrolysis