On the multicomponent reactive flows in moving domains

Key Points

Weak solutions exist for multicomponent reactive flows governed by the Navier-Stokes-Fourier system, and the results imply effective modeling practices.
Complete slip boundary conditions are applied, ensuring unique fluid velocity behavior while adhering to conservative measures for heat and species flux.
Rigorous approximation techniques support the existence proofs, reflecting a deep analysis of viscosity, pressure, and boundary behaviors.
Study emphasizes the importance of analyzing boundary conditions, addressing a gap in current understanding of moving domain flows.

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 .

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On the multicomponent reactive flows in moving domains

Key Points

Abstract

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