Showing papers on "Mixture theory published in 1987"
TL;DR: In this article, a set of continuum conservation equations for binary, solid-liquid phase change systems is presented. But these equations have been cast into forms amenable to clear physical interpretation and solution by conventional numerical procedures.
896 citations
TL;DR: In this article, a deterministic mixture theory for periodic paniculate composites is presented, which is constructed by introducing convenient microdisplacement and microstress variables, and by using a regular asymptotic technique with multiple scales.
31 citations
TL;DR: In this article, the mixture theory by Green and Naghdi is modified and applied to the problems of flow-through porous materials by introducing porosity, which makes clear that two constituents occupying the same point in the original mixture theory are an equivalent homogeneous solid and an equivalent heterogeneous fluid which, respectively, represent a porous solid and a porous fluid in the actual sample.
Abstract: The mixture theory by Green and Naghdi is modified and applied to the problems of flow-through porous materials. By introducing porosity, the authors make clear that two constituents occupying the same point in the original mixture theory are an equivalent homogeneous solid and an equivalent homogeneous fluid which, respectively, represent a porous solid and a porous fluid in the actual sample. The micromechanical response studied by Carroll and Katsube is introduced and detailed deformation and flow mechanisms are provided at each point of the mixture. The resulting theory is compared with Biot's theory and in fact reduces to Biot's theory when the fluid velocity gradient terms are ignored.
26 citations
01 Jan 1987
TL;DR: In this article, the mixture theory by Green and Naghdi is modified and applied to the problems of flow-through porous materials by introducing porosity, which makes clear that two constituents occupying the same point in the original mixture theory are an equivalent homogeneous solid and an equivalent heterogeneous fluid which, respectively, represent a porous solid and a porous fluid in the actual sample.
Abstract: The mixture theory by Green and Naghdi is modified and applied to the problems of flow-through porous materials. By introducing porosity, the authors make clear that two constituents occupying the same point in the original mixture theory are an equivalent homogeneous solid and an equivalent homogeneous fluid which, respectively, represent a porous solid and a porous fluid in the actual sample. The micromechanical response studied by Carroll and Katsube is introduced and detailed deformation and flow mechanisms are provided at each point of the mixture. The resulting theory is compared with Biot's theory and in fact reduces to Biot's theory when the fluid velocity gradient terms are ignored.
23 citations
TL;DR: In this article, a dense fluid mixture theory, which is similar to the mixture theory of imperfect gases, is introduced for mixtures of molecules with large size and energy differences, is shown to be successful in predicting properties of Lennard-Jones fluid mixtures at, both, finite concentrations and infinite dilution.
Abstract: Previous studies have indicated that most of the existing theories of mixtures tend to fail for solutions containing species with large molecular size and intermolecular energy differences. In this work a dense fluid mixture theory, which is similar to the mixture theory of imperfect gases, is introduced. This theory is applicable for mixtures of molecules with large size and energy differences. The new theory is shown to be successful in predicting properties of Lennard‐Jones fluid mixtures at, both, finite concentrations and infinite dilution.
18 citations
12 citations
TL;DR: The balance equations of mass, momentum, energy and entropy have been studied in this paper, and a comparison has been made between these equations and equations describing conjugate thermodiffusion flows in solids.
Abstract: The balance equations of mass, momentum, energy and entropy have been studied in the paper. A comparison has been made between these equations and equations describing conjugate thermodiffusion flows in solids.
6 citations
TL;DR: In this article, it is shown that when the momentum equation is included with the mass equation, the linear approximation for the space-time distribution of a solute in a binary system is the telegraph equation, well known from electrodynamics.
6 citations
TL;DR: In this paper, the authors describe methods for modeling the rate of growth of solid in terms of a mass exchange, incorporating drag, buoyancy and interfacial pressure forces in the momentum exchange, and including the latent heat and dissipation in the energy exchange.
4 citations
01 Jan 1987
TL;DR: In this article, a part of the obtained results is used to give necessary and sufficient condition in order to decide whether a given characteristic function is a factor of another one, or not.
Abstract: In more papers author dealt with a new foundation of the mixture theory of probability distribution functions. In this paper a part of the obtained results is used to give necessary and sufficient condition in order to decide whether a given characteristic function is a factor of another one, or not.