MATHEMATICAL MODELING OF SUPERCRITICAL MULTICOMPONENT REACTIVE FLUIDS

Autor:	Vincent Giovangigli, Lionel Matuszewski
Rok vydání:	2013
Předmět:	Binary entropy function Hessian matrix symbols.namesake Partial differential equation Exponential stability Applied Mathematics Modeling and Simulation symbols Inverse Symmetrization Statistical physics Diffusion (business) Supercritical fluid
Zdroj:	Mathematical Models and Methods in Applied Sciences. 23:2193-2251
ISSN:	1793-6314 0218-2025
DOI:	10.1142/s0218202513500309
Popis:	We investigate a system of partial differential equations modeling supercritical multicomponent reactive fluids. These equations involve nonideal fluid thermodynamics, nonideal chemistry as well as multicomponent diffusion fluxes driven by chemical potential gradients. Only local symmetrization of the resulting system of partial differential equations may be achieved because of thermodynamic instabilities even though the entropy function is globally defined. Local symmetrized forms are explicitly evaluated in terms of the inverse of the chemical potential Hessian and local normal forms lead to global existence and asymptotic stability of equilibrium states as well as decay estimates. We also discuss the deficiency of the resulting system of partial differential equations at thermodynamically unstable states typically associated with nonideal fluids.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2bb8f78acda9b9ba25af560b5faf2135 https://doi.org/10.1142/s0218202513500309 Zobrazit plný text záznamu