SIMULATION OF TRANSIENT COMPRESSIBLE TURBULENT REACTIVE FLOWS

Abstract A simulation procedure capable of handling transient compressible flows involving combustion is presented. The method uses the velocity components and pressure as primary flow variables. The differential equations governing the flow are discretized by integration over control volumes. The integration is performed by application of up-wind differencing in a staggered grid system. The solution procedure is an extension of the SIMPLE-algorithm accounting for compressibility effects. Turbulence is treated by solving the equations of kinetic energy of turbulence and of dissipation rate of kinetic energy of turbulence. The combustion model incorporates solution of balance equations for the mixture fraction and the mass fraction of fuel. The rate of combustion in the latter equation is modelled according to the “eddy-dissipation model” of Magnussen and Hjertager. A validation calculation of the classical shock-tube problem is performed and good agreement between analytical solution and computed predicti...

[1]  Bjørn H. Hjertager,et al.  COMPUTER SIMULATION OF FLOW, HEAT TRANSFER AND COMBUSTION IN THREE-DIMENSIONAL FURNACES , 1982 .

[2]  H. Wagner,et al.  Experiments on velocity augmentation of spherical flames by grids , 1976 .

[3]  Essam E. Khalil,et al.  THE CALCULATION OF LOCAL FLOW PROPERTIES IN TWO-DIMENSIONAL FURNACES , 1975 .

[4]  Bjørn H. Hjertager,et al.  Pressure development due to turbulent flame propagation in large-scale methaneair explosions , 1982 .

[5]  John H. S. Lee,et al.  Flame acceleration due to turbulence produced by obstacles , 1980 .

[6]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[7]  D. Spalding.  Mixing and chemical reaction in steady confined turbulent flames , 1971 .

[8]  B. Magnussen.  On the structure of turbulence and a generalized eddy dissipation concept for chemical reaction in turbulent flow , 1981 .

[9]  B. Hjertager,et al.  On mathematical modeling of turbulent combustion with special emphasis on soot formation and combustion , 1977 .

[10]  B. Launder,et al.  Mathematical Models of turbulence , 1972 .

[11]  M. Chapman,et al.  Computer simulation of combustion processes in a stratified charge engine , 1976 .

[12]  A. D. Gosman,et al.  Multidimensional Calculation of Combustion in an Idealised Homogeneous Charge Engine: a Progress Report , 1981 .

[13]  Elaine S. Oran,et al.  Application of time-dependent numerical methods to the description of reactive shocks , 1979 .