Method for calculating the thermal state of convectively cooled combustion chambers

An iterative method is developed for calculating the thermal state of combustion chambers, in which, together with separating the radiative and convective heat-transfer problems, the initial system of equations is partially linearized. This approach permits the construction of optimal iteration parameters which increase the range of convergence. Using this iterative method, a numerical solution is obtained for two models of radiative heat transfer which takes into account the nonlocal nature of the radiative heat transfer. It is found that due to the optimization of the transition operators from iteration to iteration, this method converges over a wider range of variation of the parameters than the method of successive approximations. In addition, the rate of convergence is found to be quite high and is practically independent of the flow rate of the cooling air, which allows the analysis of the thermal state of a combustion chamber over a wide range of variation of the parameters of the cooling system, taking into account the nonlocal nature of the radiative heat transfer.