ACCOUNTING FOR REACTANT CONSUMPTION IN THE THERMAL-EXPLOSION PROBLEM PART-II - A DIRECT SOLUTION WITH APPLICATION TO THE FRANK-KAMENETSKII PROBLEM

The thermal explosion problem with reactant consumption is investigate d. A direct solution for the problem using a marching Taylor series ex pansion was obtained. The derivatives in the Taylor series are obtaine d from the original equations. The states defining criticality are acc urately determined for various degrees of reaction. The results obtain ed are compared with those in the literature by other authors. An appr oximate method for determining the flammability limits as well as the critical states is presented. Copyright (C) 1997 by The Combustion Ins titute.