On the multicomponent reactive flows in moving domains.

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Bibliographic Details
Title: On the multicomponent reactive flows in moving domains.
Authors: Bhandari, Kuntal1 (AUTHOR), Kračmar, Stanislav2 (AUTHOR), Nečasová, Šárka1 (AUTHOR), Yang, Minsuk3 (AUTHOR)
Source: Quarterly of Applied Mathematics. Mar2026, Vol. 84 Issue 1, p73-118. 46p.
Subjects: Reactive flow, Boundary value problems, Approximation theory, Multiphase flow, Diffusion kinetics
Abstract: This paper is concerned with the existence of global-in-time weak solutions to the multicomponent reactive flows inside a moving domain whose shape in time is prescribed. The flow is governed by the 3D compressible Navier-Stokes-Fourier system coupled with the equations of species mass fractions. The fluid velocity is supposed to fulfill the complete slip boundary condition, whereas the heat flux and species diffusion fluxes satisfy the conservative boundary conditions. The existence of weak solutions is obtained by means of suitable approximation techniques. To this end, we need to rigorously analyze the penalization of the boundary behavior, viscosity and the pressure in the weak formulation. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This paper is concerned with the existence of global-in-time weak solutions to the multicomponent reactive flows inside a moving domain whose shape in time is prescribed. The flow is governed by the 3D compressible Navier-Stokes-Fourier system coupled with the equations of species mass fractions. The fluid velocity is supposed to fulfill the complete slip boundary condition, whereas the heat flux and species diffusion fluxes satisfy the conservative boundary conditions. The existence of weak solutions is obtained by means of suitable approximation techniques. To this end, we need to rigorously analyze the penalization of the boundary behavior, viscosity and the pressure in the weak formulation. [ABSTRACT FROM AUTHOR]
ISSN:0033569X
DOI:10.1090/qam/1721