Journal ArticleDOI
General conservation equations for multi-phase systems: 1. Averaging procedure
TLDR
In this article, a systematic procedure for averaging continuum equations over representative regions of multiphase systems is developed, where Mass and areal averages as well as volume averages are defined to ensure that the averaged quantities are physically meaningful.About:
This article is published in Advances in Water Resources.The article was published on 1979-03-01. It has received 639 citations till now. The article focuses on the topics: Method of averaging.read more
Citations
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A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering
TL;DR: In this paper, the authors present the techniques, advances, problems and likely future developments in numerical modelling for rock mechanics and discuss the value that is obtained from the modelling, especially the enhanced understanding of those mechanisms initiated by engineering perturbations.
Journal ArticleDOI
Effects of spatial variability and scale with implications to hydrologic modeling
TL;DR: In this article, the authors investigated the existence of a Representative Elementary Area (REA) in the context of hydrologic modeling at the catchment scale and found that it is strongly influenced by the topography.
Journal ArticleDOI
Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials
TL;DR: In this paper, the deformation of a micro-structure is coupled with the local deformation at a typical material point of the macro-continuum by three alternative constraints of the microscopic fluctuation field.
Journal ArticleDOI
Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries
TL;DR: In this paper, a macroscopic thermodynamic theory was developed to describe two-phase flow in porous media, where the authors developed a constitutive theory resulting in balance equations and thermodynamics appropriate for modelling multiphase flow.
Journal ArticleDOI
Theories of immiscible and structured mixtures
A. Bedford,D.S. Drumheller +1 more
TL;DR: A survey of theories of immiscible mixtures can be found in this article, where it is emphasized that the immiscibility of such mixtures has important consequences concerning the forms of the constitutive equations, and that it can also result in the mixtures exhibiting microstructural effects.
References
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Journal ArticleDOI
Fluid Mechanical Description of Fluidized Beds. Equations of Motion
T. B. Anderson,Roy Jackson +1 more
Journal ArticleDOI
Nonlinear theory of simple micro-elastic solids-i
A. Cemal Eringen,E.S. Suhubi +1 more
TL;DR: In this paper, the formulation of the basic field equations, boundary conditions and constitutive equations of simple micro-elastic solids is discussed. And explicit expressions of constitutive expressions of several simple micro elastic solids are given and applied to some special problems.
Book ChapterDOI
Simultaneous Heat, Mass, and Momentum Transfer in Porous Media: A Theory of Drying
TL;DR: In this article, the authors present a general theory that provides a starting point for the construction of special theories so that various drying processes can be studied analytically without recourse to an enormous computational effort.