Theoretical model of chemically reacting recirculating flows

Technical Report · Tue Apr 01 04:00:00 EST 1980

OSTI ID:5586966

Mitchell, R E

A theoretical model designed to calculate the aerodynamic, thermal and concentration distributions established in a confined, axisymmetric laminar diffusion flame is described. The computer program developed can be used to examine a wide variety of laminar flow situations ranging from the isothermal flow of a single fluid through a pipe to the flow of a reactive gas jet issuing into a coflowing gas stream. Allowances can be made for natural convection effects, variable thermodynamic and transport properties and detailed finite-rate chemistry. An iterative procedure is employed to find the solution to the set of finite-difference equations which are representative of the mass, momentum and energy conservation laws. The procedure advances each dependent variable field from one iteration to the next by successively treating chemical, and radial and axial convective and diffusive contributions to the conservation equations implicitly. The procedure is stable and results in an accurate steady-state solution. The governing elliptic differential equations, the boundary conditions and te expressions for the thermodynamic and transport properties of the gas mixture are presented. The finite-difference and solution procedures are described and test problems used to validate the theoretical model are discussed.

• Research Organization: Sandia Labs., Livermore, CA (USA)
• DOE Contract Number: EY-76-C-04-0789
• OSTI ID: 5586966
• Report Number(s): SAND-79-8236
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
AERODYNAMICS
CHEMICAL REACTIONS
COMBUSTION
DIFFERENTIAL EQUATIONS
DISPERSIONS
EQUATIONS
FLAMES
FLUID FLOW
FLUID MECHANICS
FLUIDS
GAS FLOW
GASES
LAMINAR FLOW
MATHEMATICAL MODELS
MECHANICS
MIXTURES
OXIDATION
THERMOCHEMICAL PROCESSES
THERMODYNAMICS