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Open AccessJournal ArticleDOI

Vertical flow of a multiphase mixture in a channel

Mehrdad Massoudi, +1 more
- 01 Jan 2001 - 
- Vol. 6, Iss: 6, pp 505-526
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TLDR
In this paper, a multiphase mixture consisting of a viscous fluid and solid particles between two vertical plates is studied and the theory of interacting continua or mixture theory is used.
Abstract
The flow of a multiphase mixture consisting of a viscous fluid and solid particles between two vertical plates is studied. The theory of interacting continua or mixture theory is used. Constitutive relations for the stress tensor of the granular materials and the interaction force are presented and discussed. The flow of interest is an ideal one where we assume the flow to be steady and fully developed; the mixture is flowing between two long vertical plates. The non-linear boundary value problem is solved numerically, and the results are presented for the dimensionless velocity profiles and the volume fraction as functions of various dimensionless numbers.

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Journal ArticleDOI

An Anisotropic Constitutive Equation for the Stress Tensor of Blood Based on Mixture Theory

TL;DR: In this paper, the authors developed a model for blood using the theory of interacting continua, that is, the mixture theory, and obtained a constitutive relation for blood, based on the simplified constitutive relations derived for plasma and RBCs.
Journal ArticleDOI

Simulation of particle/fluid flows in vertical circular pipes

TL;DR: In this paper, a two fluid continuum model is applied to the simulation of steady fully developed particle/fluid flow in a vertical circular pipe and closed form and numerical solutions are obtained to the associated governing equations.
DissertationDOI

Reshaping elastomers with light : first principles model of diffusion-induced deformation

TL;DR: In this article, a simple two-component model was proposed to predict reaction-diffusion-induced shape change in elastomeric photopolymers, which treated macromer as converting directly into network strands.
Journal ArticleDOI

A simple mixture theory for ν Newtonian and generalized Newtonian constituents

TL;DR: In this article, a mathematical model based on conservation laws for a saturated mixture of homogeneous, isotropic, and incompressible constituents for isothermal flows is presented, where the constituents and the mixture are assumed to be Newtonian or generalized Newtonian fluids.
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