- Author
-
Brown, R. L.
- Title
- Numerical Solution of the Time Dependent Partial Differential Equations Which Describes a One-Dimensional, Laminar, Premixed Flame. Final Report.
- Coporate
- National Bureau of Standards, Gaithersburg, MD
- Report
-
NBSIR 76-994,
January 1976,
175 p.
- Distribution
- Available from National Technical Information Service
- Keywords
-
combustion
|
flame chemistry
|
laminar flames
|
flame equations
- Abstract
- The set of time dependent, parabolic differential equations, which describe the physical and chemical processes in a one-dimentional, laminar, premixed flame is solved by adapting a soluition procedure originally developed to solve the two-dimensional steady state boundary layer equations. The flame equations are integrated by an implicit method until the steady state is reached. This corresponds to a flame propagating steadily through a mixture of combustible gases. By a suitable choice of boundary conditions, it is also possible to model a flame which is stablilized on a burner. Solution of the flame equations yields the concentration profiles of the different chemical species as well as the temperature profile. From these one can also calculate the production rates of each species, the rate of each chemical reaction, and the heat release rate at each point in the flame. The velocity of the freely propagating flame can be calculated from the integrals over the whole flame zone of any of the species production rates. The model incorporates realistic thermodynamic data and transport property documentation of the computer program which accomplishes the integration is presented.