Analytical solution for a single droplet diffusion combustion problem accounting for several chain reaction stages |
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| Institution: | 1. Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow 117218, Russia;2. Moscow M.V. Lomonosov State University, Moscow 119992, Russia;1. School of Information and Electronics, Beijing Institute of Technology, 100081 Beijing, China;2. Department of Cell Biology, The Key Laboratory of Geriatrics, Beijing Institute of Geriatrics, Ministry of Health, 100730 Beijing, China;1. Division of Fluid Mechanics, Lund University, 221 00 Lund, Sweden;2. Department of Energy Technology, Aalborg University, Esbjerg 6700, Denmark |
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| Abstract: | In the present study we investigate steady-state combustion of a liquid fuel droplet in the atmosphere of oxidizer under the condition of non-equilibrium evaporation from the surface.Utilizing the fact that chemical interactions of fuel with oxidizer involve a chain mechanism or several reaction stages, we transform the Shvab-Zel'dovich method so as to obtain exact analytical solution accounting for the possibility of several chain reactions.The obtained results show that this method is effective for solving the combustion problem and allow to define the values of parameters in gas around the droplet more accurately than the original method having taken into account one brutto-reaction. |
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