Local integral method for computing molecular diffusion and chem

Details Local integral method for computing molecular diffusion and chem Local integral method for computing molecular diffusion and chem

1993-07-30

1996-12-10

Voeltz, Emanuel T.

Boots, shoes, and leggings

364499, 364578, G06F 1700

Patent

active

055837891

ABSTRACT:
A local integral method for computing molecular diffusion and chemical reaction within a material wherein shape and time evolution values of one or more material surfaces are computed, and a rate of stretch of each material surface is determined as a function of time. A set of ordinary differential equations are solved at a multiplicity of points on the material surface. The ordinary differential equations are reduced from and represent an approximation of a more complex and complete set of governing partial differential equations. One or more conserved scalars are tracked and conserved scalar values and a gradient of the conserved scalars are determined. A rate of change from the gradient of the conserved scalars is also determined. A mass fraction and a reaction rate of each chemical species of the material is correlated as a function of determined conserved scalar values and a determined gradient of the conserved scalars. The local integral method of this invention is particularly useful as a general tool for simulating nitrogen oxides output and other flame properties of a wide class of combustion applications.

REFERENCES:
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patent: 5148379 (1992-09-01), Konno et al.
C. H. H. Chang, W. J. A. Dahm and G. Tryggvason, "Lagrangian Model Simulations of Molecular Mixing, Including Finite Rate Chemical Reactions, in a Temporally Developing Shear Layer", Physics of Fluids A, vol. 3, pp. 1300-1311, 1991.
G. Tryggvason and W. J. A. Dahm, "An Integral Method for Mixing, Chemical Reactions, and Extinction in Unsteady Strained Diffusion Layers", Combustion & Flame, vol. 83, pp. 207-220, 1991.

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