Paper Title
Application Semi-Analytical Perturbation Method to System of Partial Differential Equations-Combustion of Spray Combustion
Abstract
The aim of this work is to apply the homotopy perturbation method and homotopy analysis method to the
problem of thermal explosion in a flammable gas mixture with the addition of volatile fuel droplets. The system of equations
that describes the effects of heating, evaporation, and combustion of fuel in a poly disperse spray is simplified. Both
convective and radiative heating of droplets is taken into account in the model. The model for the radiative heating of
droplets takes into account the semi transparency of the droplets. The results of the analysis have been applied to the
modeling of the thermal explosion in diesel engines. We applied the Homotopy Perturbation Method and the Homotopy
Analysis Method to the new model and we found the region of the convergence of the considered solutions of the relevant
physical parameters. The results demonstrate that these methods are very effective for solving nonlinear problems in science
and engineering.
Keywords - Spray Combustion, Semi-Analytical Methods, Partial Differential Equations
Author - Ophir Nave
Published : Volume-4,Issue-9 ( Sep, 2017 )
DOIONLINE Number - IJAECS-IRAJ-DOIONLINE-9326
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Published on 2017-11-23 |
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