New, accurate, analytical relations for fractional pressure rise, laminar burning velocity, and the cubic root law in constant volume combustion

C.C.M. Luijten, L.P.H. Goey, de

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Abstract

In constant volume combustion, a simplified linear relation between pressure rise and burnt fraction x is often used.In the more accurate two- and multi-zone models, x is typically obtained by numerical solution of the volume andenergy conservation laws. We show that it is possible to solve these laws analytically for x, resulting in a moreaccurate x(p) relation. Remarkably, our multi-zone result appears not to differ significantly from the two-zone result,indicating that the gradient in burnt temperature is not essential. Our new x(p) relation yields burning velocity valuesthat differ significantly from the linear approach, and it also changes the expression for the explosion constant KG.
Original languageEnglish
Title of host publicationProceedings of the 3rd European Combustion Meeting (ECM 2007) 11-13 april, 2007,Chania, Greece
Place of PublicationGreece, Chania
PublisherCombustion Institute, Greek section
Pages6.2-
Publication statusPublished - 2007

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