CSP-based chemical kinetics mechanisms simplification strategy for non-premixed combustion: An application to hybrid rocket propulsion

Abstract A set of simplified chemical kinetics mechanisms for hybrid rocket applications using gaseous oxygen (GOX) and hydroxyl-terminated polybutadiene (HTPB) is proposed. The starting point is a 561-species, 2538-reactions, detailed chemical kinetics mechanism for hydrocarbon combustion. This mechanism is used for predictions of the oxidation of butadiene, the primary HTPB pyrolysis product. A Computational Singular Perturbation (CSP) based simplification strategy for non-premixed combustion is proposed. The simplification algorithm is fed with the steady-solutions of classical flamelet equations, these being representative of the non-premixed nature of the combustion processes characterizing a hybrid rocket combustion chamber. The adopted flamelet steady-state solutions are obtained employing pure butadiene and gaseous oxygen as fuel and oxidizer boundary conditions, respectively, for a range of imposed values of strain rate and background pressure. Three simplified chemical mechanisms, each comprising less than 20 species, are obtained for three different pressure values, 3, 17, and 36 bar, selected in accordance with an experimental test campaign of lab-scale hybrid rocket static firings. Finally, a comprehensive strategy is shown to provide simplified mechanisms capable of reproducing the main flame features in the whole pressure range considered.

[1]  Robert W. Bilger,et al.  Conditional moment closure for turbulent reacting flow , 1993 .

[2]  T. Poinsot,et al.  Theoretical and numerical combustion , 2001 .

[3]  F. Bisetti,et al.  Fluctuations of a passive scalar in a turbulent mixing layer. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Carmine Carmicino,et al.  Role of Injection in Hybrid Rockets Regression Rate Behavior , 2005 .

[5]  S. H. Lam,et al.  A study of homogeneous methanol oxidation kinetics using CSP , 1992 .

[6]  James M. Wallace,et al.  Velocity and velocity gradient based properties of a turbulent plane mixing layer , 2012, Journal of Fluid Mechanics.

[7]  A. R. Sorge,et al.  Experimental Investigation into the Effect of Solid-Fuel Additives on Hybrid Rocket Performance , 2015 .

[8]  R. Barlow,et al.  Experiments on the scalar structure of turbulent CO/H2/N2 jet flames , 2000 .

[9]  Francesco Nasuti,et al.  Simulation of Gaseous Oxygen/Hydroxyl-Terminated Polybutadiene Hybrid Rocket Flowfields and Comparison with Experiments , 2015 .

[10]  Robert D. Moser,et al.  Direct Simulation of a Self-Similar Turbulent Mixing Layer , 1994 .

[11]  Habib N. Najm,et al.  CSP analysis of a transient flame-vortex interaction: time scales and manifolds , 2003 .

[12]  R. Barlow,et al.  Piloted methane/air jet flames: Transport effects and aspects of scalar structure , 2005 .

[13]  T. Shimada,et al.  Numerical Simulations of Combustive Flows in a Swirling-Oxidizer-Flow-Type Hybrid Rocket , 2014 .

[14]  H. Pitsch Unsteady Flamelet Modeling of Differential Diffusion in Turbulent Jet Diffusion Flames , 2000 .

[15]  C. Westbrook,et al.  A Comprehensive Modeling Study of n-Heptane Oxidation , 1998 .

[16]  Habib N. Najm,et al.  Skeletal mechanism generation with CSP and validation for premixed n-heptane flames , 2009 .

[17]  Paul G. Arias,et al.  Computational characterization of ignition regimes in a syngas/air mixture with temperature fluctuations , 2017 .

[18]  Habib N. Najm,et al.  Skeletal mechanism generation and analysis for n-heptane with CSP , 2007 .

[19]  D. Bianchi,et al.  Hybrid Rockets with Axial Injector: Port Diameter Effect on Fuel Regression Rate , 2016 .

[20]  Y. Xuan,et al.  A flamelet-based a priori analysis on the chemistry tabulation of polycyclic aromatic hydrocarbons in non-premixed flames , 2014 .

[21]  Mauro Valorani,et al.  Tangential stretching rate (TSR) analysis of non premixed reactive flows , 2017 .

[22]  Cosmin Safta,et al.  TChem - A Software Toolkit for the Analysis of Complex Kinetic Models , 2020 .

[23]  Carmine Carmicino,et al.  Influence of a Conical Axial Injector on Hybrid Rocket Performance , 2006 .

[24]  S. H. Lam,et al.  Conventional asymptotics and computational singular perturbation for simplified kinetics modelling , 1991 .

[25]  Ömer L. Gülder,et al.  Soot formation in high pressure laminar diffusion flames , 2012 .

[26]  Michael E. Mueller,et al.  Effects of non-unity Lewis number of gas-phase species in turbulent nonpremixed sooting flames , 2016 .

[27]  Kenneth K. Kuo,et al.  Fundamentals of Hybrid Rocket Combustion and Propulsion , 2007 .

[28]  F. Bisetti,et al.  Statistics and scaling of turbulence in a spatially developing mixing layer at Reλ = 250 , 2012 .

[29]  Habib N. Najm,et al.  An automatic procedure for the simplification of chemical kinetic mechanisms based on CSP , 2006 .

[30]  Chung King Law,et al.  Detailed kinetic modeling of 1,3‐butadiene oxidation at high temperatures , 2000 .