Critical conditions for thermal explosion in reactive viscous flows
Abstract
Thermal stability of some simple steady viscous flows of a reactive fluid with heated boundaries is investigated; only flows which are known exact solutions of the NavierStokes equations are considered. Two approaches are used: (1) a perturbation series about the inviscid solution; and, briefly, (2) a stepfunction approximation to the reaction rate term. Results for the critical value of the FrankKamenskii parameter and the critical maximum temperature are presented and compared.
 Publication:

Combustion and Flame
 Pub Date:
 May 1981
 DOI:
 10.1016/00102180(81)900535
 Bibcode:
 1981CoFl...41..201Z
 Keywords:

 Chemical Explosions;
 Combustible Flow;
 Critical Temperature;
 Pipe Flow;
 Thermal Stability;
 Viscous Flow;
 Circular Cylinders;
 Concentric Cylinders;
 Couette Flow;
 Flow Distribution;
 Laminar Flow;
 NavierStokes Equation;
 Parallel Plates;
 Reaction Kinetics;
 Steady Flow;
 Step Functions;
 Fluid Mechanics and Heat Transfer