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 Navier-Stokes equations are considered. Two approaches are used: (1) a perturbation series about the inviscid solution; and, briefly, (2) a step-function approximation to the reaction rate term. Results for the critical value of the Frank-Kamenskii parameter and the critical maximum temperature are presented and compared.
- Publication:
-
Combustion and Flame
- Pub Date:
- May 1981
- DOI:
- 10.1016/0010-2180(81)90053-5
- 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;
- Navier-Stokes Equation;
- Parallel Plates;
- Reaction Kinetics;
- Steady Flow;
- Step Functions;
- Fluid Mechanics and Heat Transfer