Glushkov D.O.   Кузнецов Г.В.   Strizhak P.A.  

Mathematical modeling of heat and mass transfer processes in the conditions of phase transitions and chemical reaction at the ignition of condensed substances by local energy sources

Reporter: Strizhak P.A.

Experimental researches of integrated characteristics and regularities of a heat and mass transfer at ignition of the condensed substances (CS) by single "hot" particles are not always possible. It is caused by process specifics (temperature changing of energy source during the induction period) and limitation of known experimental techniques opportunities. Mathematical modeling allows excluding a lot of problems connected, for example, with parameters recording of high-growth real physical process, and besides let us describe in more detail consecutive stages from the initial moment of CS warming up before it ignition.
Heat and mass transfer mathematical model at ignition of CS is presented by system of the nonlinear non-stationary differential equations in the private derivatives corresponding to basic provisions of the general theory of heat transfer in chemical kinetics and free convection.
Decision algorithm for set of differential equations with the corresponding initial and boundary conditions is based on the finite-difference method. To solve difference analogous of differential equations, a locally one-dimensional method was used. The one-dimensional difference equations were solved with the use of an implicit four-point difference scheme. Nonlinear equations were solved by the iteration method.
Mathematical model verification and assessment of numerical research results reliability is executed by it comparison with known experimental results, and also check of used differential schemes conservatism was done. Besides, testing of the applied numerical methods and the developed decision algorithm on the example of group less complex challenges of heat conductivity and convective heat transfer is held.