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Application of quasi‐linearization to studies on diffusioin flames
Author(s) -
Sriramulu V.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140111
Subject(s) - linearization , diagonal , diffusion , iterative method , mathematics , mathematical analysis , nonlinear system , algorithm , physics , geometry , thermodynamics , quantum mechanics
A method by which the numerical difficulties that one encounters while attempting to solve the differential equations which describe a diffusion flame can be circumvented is the quasi‐linearization technique. Application of this method in conjunction with difference approximations transforms the equations into tri‐diagonal matrices which can be inverted by the Thomas method. Since this is an iterative method initial profiles are generated by employing Burke‐Schumann kinetics. This method is found to be superior to the marching techiques that are frequently used in the analyses of diffusion flames.