Mathematical Modeling of Heat and Mass Transfer Processes with Chemical Reaction at Polymeric Material Ignition by Several Small-Size Hot Particles

Abstract

Numerical research of interconnected heat and mass transfer processes in the “two hot particles—polymeric material—air” system was executed. The joint effect of several local heat sources on the main integrated characteristic of ignition process (ignition delay time) was established. Two ignition models characterized by the relative positioning of hot particles on a polymeric material surface were revealed. Besides, there were established characteristics of local heat sources and the distance between them (700 K<Tp<1150 K andL>1.5orTp>1150 K and0.25<L<1.5)when regularities of heat and mass transfer processes in the “two hot particles—polymeric material—air” system are similar to regularities of heat and mass transfer processes in the “single hot particle—polymeric material—air” system.

Identification of areas of emergence of critical flow regimes of nonlinear viscous liquids in a tubular reactor

“…Substituting the expansion functions for the investigated functions, we obtain a system of four algebraic equations (the continuity equation is not used, because with its help the coefficients of the Taylor series for the function r V  are obtained) [6].…”

“…In the mathematical models available to date, the non-Newtonian properties of liquids are not taken into account and there are no methods for calculating the qualitative characteristics using the molecular mass distribution [5][6].…”