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A Novel Operator-Splitting Technique for One-Dimensional Laminar Premixed Flames

Bhashyam, AT and Deshpande, SM and Mukunda, HS and Goyal, G (1986) A Novel Operator-Splitting Technique for One-Dimensional Laminar Premixed Flames. In: Combustion Science and Technology, 46 (3-6). 223 -247.

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Abstract

This paper is concerned the calculation of flame structure of one-dimensional laminar premixed flames using the technique of operator-splitting. The technique utilizes an explicit method of solution with one step Euler for chemistry and a novel probabilistic scheme for diffusion. The relationship between diffusion phenomenon and Gauss-Markoff process is exploited to obtain an unconditionally stable explicit difference scheme for diffusion. The method has been applied to (a) a model problem, (b) hydrazine decomposition, (c) a hydrogen-oxygen system with 28 reactions with constant Dρ 2 approximation, and (d) a hydrogen-oxygen system (28 reactions) with trace diffusion approximation. Certain interesting aspects of behaviour of the solution with non-unity Lewis number are brought out in the case of hydrazine flame. The results of computation in the most complex case are shown to compare very favourably with those of Warnatz, both in terms of accuracy of results as well as computational time, thus showing that explicit methods can be effective in flame computations. Also computations using the Gear-Hindmarsh for chemistry and the present approach for diffusion have been carried out and comparison of the two methods is presented.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Taylor and Francis.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 30 Jan 2010 09:00
Last Modified: 30 Jan 2010 09:00
URI: http://eprints.iisc.ernet.in/id/eprint/21084

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