Application of fractional calculus to modeling transient combustion of solid propellants
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...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Language: | English |
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2017
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| Online Access: | https://hdl.handle.net/10356/83627 http://hdl.handle.net/10220/42685 |
| _version_ | 1826122677283192832 |
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| author | Kulish, Vladimir Horák, Vladimír Duc, Linh Do Lukáč, Tomáš |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Kulish, Vladimir Horák, Vladimír Duc, Linh Do Lukáč, Tomáš |
| author_sort | Kulish, Vladimir |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T05:52:26Z |
| format | Conference Paper |
| id | ntu-10356/83627 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:52:26Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | ntu-10356/836272023-03-04T17:07:41Z Application of fractional calculus to modeling transient combustion of solid propellants Kulish, Vladimir Horák, Vladimír Duc, Linh Do Lukáč, Tomáš School of Mechanical and Aerospace Engineering AIP Conference Proceedings Combustion Fractional calculus methods 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. MOE (Min. of Education, S’pore) Published version 2017-06-13T08:11:34Z 2019-12-06T15:27:02Z 2017-06-13T08:11:34Z 2019-12-06T15:27:02Z 2017 Conference Paper 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-. https://hdl.handle.net/10356/83627 http://hdl.handle.net/10220/42685 10.1063/1.4972680 en © 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: [http://dx.doi.org/10.1063/1.4972680]. 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. 5 p. application/pdf |
| spellingShingle | Combustion Fractional calculus methods Kulish, Vladimir Horák, Vladimír Duc, Linh Do Lukáč, Tomáš Application of fractional calculus to modeling transient combustion of solid propellants |
| title | Application of fractional calculus to modeling transient combustion of solid propellants |
| title_full | Application of fractional calculus to modeling transient combustion of solid propellants |
| title_fullStr | Application of fractional calculus to modeling transient combustion of solid propellants |
| title_full_unstemmed | Application of fractional calculus to modeling transient combustion of solid propellants |
| title_short | Application of fractional calculus to modeling transient combustion of solid propellants |
| title_sort | application of fractional calculus to modeling transient combustion of solid propellants |
| topic | Combustion Fractional calculus methods |
| url | https://hdl.handle.net/10356/83627 http://hdl.handle.net/10220/42685 |
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