Journal ArticleDOI
Theories of immiscible and structured mixtures
A. Bedford,D.S. Drumheller +1 more
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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.About:
This article is published in International Journal of Engineering Science.The article was published on 1983-01-01. It has received 566 citations till now.read more
Citations
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Weakly nonlinear kinematic waves in suspensions of particles in fluids
TL;DR: In this paper, the properties of weakly nonlinear kinematic waves in suspensions are investigated under the assumption that the particle concentration deviates only slightly from the value at the inflexion point of the drift flux curve.
Journal ArticleDOI
Continuous dependence in a nonlinear theory of viscoelastic porous mixtures
TL;DR: In this paper, a nonlinear theory of viscoelastic mixtures is presented, where the volume fraction field of each constituent is considered as an independent kinematical variable and a constitutive relation which generalizes Darcy's law is derived.
Journal ArticleDOI
A multiscale theoretical model for fluid flow in cellular biological media
TL;DR: In this article, an integrated methodology is developed for the theoretical analysis of momentum transfer in cellular biological media, such as biofilms and tissues, starting with a continuum-based formulation of the process at finer spatial scales.
Dissertation
Modélisation du renoyage d'un lit de particules : contribution à l'estimation des propriétés de transport macroscopiques
TL;DR: In this paper, Cahn-Hilliard et al. propose a macroscopique quasi-stationnaire model for the transfer of mass and chaleur in a milieu poreux surchauffe parcouru par un ecoulement liquide-vapeur.
Journal ArticleDOI
On Uniqueness and Continuous Dependence in the Nonlinear Theory of Mixtures of Elastic Solids with Voids
TL;DR: In this paper, the static and dynamic deformations in a nonlinear theory of mixtures of elastic materials with voids are studied. But their work is concerned with static deformations.
References
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Book
A Treatise on Electricity and Magnetism
TL;DR: The most influential nineteenth-century scientist for twentieth-century physics, James Clerk Maxwell (1831-1879) demonstrated that electricity, magnetism and light are all manifestations of the same phenomenon: the electromagnetic field as discussed by the authors.
Journal ArticleDOI
General Theory of Three‐Dimensional Consolidation
TL;DR: In this article, the number of physical constants necessary to determine the properties of the soil is derived along with the general equations for the prediction of settlements and stresses in three-dimensional problems.
Journal ArticleDOI
Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range
TL;DR: In this article, a theory for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid is developed for the lower frequency range where the assumption of Poiseuille flow is valid.
Journal ArticleDOI
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
TL;DR: In this paper, the theory of propagation of stress waves in a porous elastic solid developed in Part I for the low-frequency range is extended to higher frequencies, and the breakdown of Poiseuille flow beyond the critical frequency is discussed for pores of flat and circular shapes.