ФАКЕЛЬНЫЕ ПРОЦЕССЫ С ПОЗИЦИЙ ТЕОРИИ ВЕРОЯТНОСТИ

Abstract

To solve the problem of determining the flame temperature in the working space of the thermal units it is proposed to calculate the change of adiabatic enthalpy by using methods of probability theory. It is shown that the normal function of the fuel cells distribution allows to obtain the integral function of enthalpy and adiabatic temperature along the length of flame distribution, including at asymmetrical distribution function. The problem is solved regarding homogeneous diffusive gaseous flames, associated with the combustion of sprayed liquid fuel. Transfer equations solutions regularization’s conditions are defined, homochronic number and Bio mass transfer number relation’s approximations are proposed. For synthesis of the solution on canals of initial forms the corresponding linear connections are proposed; the limits of change of the mass transfer Bio number and the convergence of series sums in the regularization of solutions of the surface combustion equation are defined according to the method of Burke-Schumann. Flame length’s dispersion factor’s variability is considered. The explanation of the S-shaped temperature curve observed by the burning of nearly all fuels in installations of various types is proposed. Flame processes generally examined by probability theory with various density of normal distribution function φ(U) for homogenic flame by normal integral function Ф(U) are described. The steady form Ф(U) significantly explains the S-shaped longitudinal temperature function observed in practice and which serves as a basis for thermal and non-stationary theory of ignition. Actual flame’s temperature determination is possible on flare’s continuum adiabatic temperature placement taking into account the radiative properties of all heat transfer system’s elements. Likewise the task of heterogenic flame’s axial temperature’s description with variable dispersion factor σ can be solved. © 2017, National University of Science and Technology MISIS. All rights reserved.