Application of fractional calculus to modeling transient combustion of solid propellants

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F17%3A00533737" target="_blank" >RIV/60162694:G43__/17:00533737 - isvavai.cz</a>

Výsledek na webu

<a href="http://aip.scitation.org/toc/apc/1798/1?expanded=1798" target="_blank" >http://aip.scitation.org/toc/apc/1798/1?expanded=1798</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4972680" target="_blank" >10.1063/1.4972680</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of fractional calculus to modeling transient combustion of solid propellants

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Application of fractional calculus to modeling transient combustion of solid propellants

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20303 - Thermodynamics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016

ISBN

978-073541464-8

ISSN

0094-243X

e-ISSN

—

Počet stran výsledku

5

Strana od-do

—

Název nakladatele

American Institute of Physics Inc.

Místo vydání

La Rochelle

Místo konání akce

University of La Rochelle

Datum konání akce

4. 7. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000399203000088