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Title: Application of fractional calculus to modeling transient combustion of solid propellants
Authors: Kulish, Vladimir
Horák, Vladimír
Duc, Linh Do
Lukáč, Tomáš
Keywords: Combustion
Fractional calculus methods
Issue Date: 2017
Source: Kulish, V., Horák, V., Duc, L. D., & Lukáč, T. (2017). Application of fractional calculus to modeling transient combustion of solid propellants. AIP Conference Proceedings, 1798(1), 020088-.
Conference: AIP Conference Proceedings
Abstract: It was Zel’dovich, who first considered the transient combustion problem of solid propellants. Some more detailed models of that process have been developed afterwards. However, until today, numerical methods remain the prevailing tool for modeling unsteady combustion processes. In this work, it has been demonstrated that at least one of the problems of the unsteady combustion theory, which previously investigated numerically, can be treated analytically by means of fractional calculus. The solution for the unsteady speed of combustion thus derived is then compared with the solution obtained by numerical means in previous studies. The comparison shows a good agreement between those results, especially for small values of time.
DOI: 10.1063/1.4972680
Schools: School of Mechanical and Aerospace Engineering 
Rights: © 2017 American Institute of Physics (AIP). This paper was published in AIP Conference Proceedings and is made available as an electronic reprint (preprint) with permission of American Institute of Physics (AIP). The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Conference Papers

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