Topic
Mixture theory
About: Mixture theory is a research topic. Over the lifetime, 616 publications have been published within this topic receiving 19350 citations.
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TL;DR: In this article, a stabilized mixed finite element method for advection-diffusion-reaction phenomena that involve an anisotropic viscous fluid diffusing and chemically reacting with an elastic solid is presented.
Abstract: This paper presents a stabilized mixed finite element method for advection-diffusion-reaction phenomena that involve an anisotropic viscous fluid diffusing and chemically reacting with an anisotropic elastic solid. The reactive fluid–solid mixture theory of Hall and Rajagopal (Diffusion of a fluid through an anisotropically chemically reacting thermoelastic body within the context of mixture theory. Math Mech Solid 2012; 17: 131–164) is employed wherein energy and entropy production relations are captured via an equation describing the Lagrange multiplier that results from imposing the constraint of maximum rate of entropy production. The primary partial differential equations are thus reduced to the balance of mass and balance of linear momentum equations for the fluid and the solid, together with an equation for the Lagrange multiplier. Present implementation considers a simplification of the full system of governing equations in the context of isothermal problems, although anisothermal studies are bein...
15 citations
TL;DR: In this paper, a different procedure in the exploitation of the entropy principle, by the use of Lagrange multipliers for a solid-fluid mixture, was employed, which is consistent with Darcy's law and the concepts of pore fluid pressure and effective stress principle in soil mechanics.
15 citations
13 Jun 2001
TL;DR: This work shows a new method for blind separation of sources, based on geometrical considerations concerning the observation space, applied to a mixture of two sources and it obtains the coefficients of the unknown mixture matrix A and separates the unknown sources.
Abstract: The techniques of Blind Separation of Sources (BSS) are used in many Signal Processing applications in which the data sampled by sensors are a mixture of signals from different sources, and the goal is to obtain an estimation of the sources from the mixtures This work shows a new method for blind separation of sources, based on geometrical considerations concerning the observation space This new method is applied to a mixture of two sources and it obtains the coefficients of the unknown mixture matrix A and separates the unknown sources, So Following an introduction, we present a brief abstract of previous work by other authors, the principles of the method and a description of the algorithm, together with some simulations
15 citations
01 Jan 1991
TL;DR: A review of current physics-based techniques for modeling snowmelt can be found in this paper, where the equations of conservation of mass, momentum and energy for snow treated as a two-component, three-phase mixture of ice, water, water vapor, and air are described.
Abstract: This chapter is a review of current physics-based techniques for modeling snowmelt Mixture theory is used to develop the equations of conservation of mass, momentum and energy for snow treated as a two-component, three-phase mixture of ice, water, water vapor, and air The constitutive laws and boundary conditions required to complete a general snowmelt model are then described, with particular attention to the energy balance at the upper boundary of a snowpack
15 citations
TL;DR: In this paper, a sink term is introduced in the equations to describe the detachment of sand particles via an erosion law, and numerical damping is used to stabilize the finite element solution of the governing equations.
15 citations