Papers by Mehrdad Massoudi
Journal of Humanistic Psychology, Aug 19, 2009
The principal objective of this paper is to compare the mechanical response of a double shearing ... more The principal objective of this paper is to compare the mechanical response of a double shearing model with that of a hypoplastic model under biaxial compression and under cyclic shear loading. As the origins and nature of these two models are completely different, it is ...
NASA STI/Recon Technical Report N, May 1, 1991
ABSTRACT
International Journal of Non-linear Mechanics, May 1, 2005
... This definition excludes suspensions, fluidized beds, and materials embedded in a solid mixtu... more ... This definition excludes suspensions, fluidized beds, and materials embedded in a solid mixture." Also, little is known of the ... For example, a bulk solid is not exactly a solid continuum since it takes the shape of the vessel containing it; it cannot be considered a liquid for it can ...
Geosciences, Mar 26, 2019
International Communications in Heat and Mass Transfer, Oct 1, 2005
In this paper we use the standard Mixture Theory (Theory of Interacting Continua) and Representat... more In this paper we use the standard Mixture Theory (Theory of Interacting Continua) and Representation Theorems to derive a simple constitutive relationship for the heat flux vector of a mixture composed of a viscous fluid infused with solid granular materials. For certain limiting and specialized cases, an effective thermal conductivity of the mixture is also derived.
International Journal of Non-linear Mechanics, Mar 1, 1999
The present study considers an assembly of spherical particles, densely packed, between two verti... more The present study considers an assembly of spherical particles, densely packed, between two vertical flat plates which are at different temperatures. The flow due to such a temperature difference is investigated. The governing equations for the flow of granular materials, taking into account the natural convection, are derived using a continuum model. For a fully developed flow of these materials, the equations reduce to a system of coupled, non-linear ordinary differential equations. The non-dimensional forms of the equations are integrated numerically. The results are then presented for volume fraction, dimensionless velocity, and temperature profiles as functions of various dimensionless parameters representing the following physical meaning: R1 is the ratio of the pressure force to the force developed in the material due to distribution of the void. R2 is the ratio of the viscous force to the gravity force and R3 is the product of the Prandtl number and the Eckert number.
Continuum Mechanics and Thermodynamics, Nov 29, 2009
ABSTRACT The two important constitutive relations needed for the study of flow and heat transfer ... more ABSTRACT The two important constitutive relations needed for the study of flow and heat transfer in granular materials, where the effects of radiation are ignored, are the stress tensor and the heat flux vector. Massoudi [1, 2] derived a constitutive model that reflects the dependence of the heat flux vector on the temperature gradient, the density gradient and the velocity gradient, in an appropriate frame-invariant formulation. In this paper we use a simplified version of this model and consider the one dimensional fully developed flow of granular materials down a heated inclined plane, subject to a constant temperature boundary condition. The equations are made dimensionless and a parametric study is performed in order to examine the effects of the additional parameters on the heat flux vector. The derived governing equations are coupled non-linear second order ordinary differential equations which are solved numerically and the results are shown for the temperature, volume fraction and velocity profiles.
Applied Mathematics and Computation, Oct 1, 2019
In this paper, we consider the three dimensional flow of granular materials and a viscous fluid i... more In this paper, we consider the three dimensional flow of granular materials and a viscous fluid in a channel. We use Mixture Theory to treat this problem as a two-component system [1]: One component is the solid particles (granular materials), such as sand, coal particles or red blood cells; the solid particles are modeled as a generalized Reiner-Rivlin type fluid derived by Massoudi [2], which not only considers the effects of volume fraction but also has a viscosity which is shear rate dependent. The other component, the host fluid, is assumed to behave as a linear viscous fluid, such as water, oil or plasma. For the interaction forces, the effect of different hindrance functions for the drag force is studied; moreover a generalized form of the expression for the hindrance function is suggested. For studying this two-component system numerically, a three dimensional CFD solver based on OpenFOAM® has been developed. Applying this solver, a specific problem (blood flow) has been studied for which our numerical results and experimental data [3] show good agreement.
Journal of Computational and Applied Mathematics, Oct 1, 2020
Mathematical Methods in The Applied Sciences, Jan 31, 2013
International Journal of Non-Linear Mechanics
Journal of Computational and Applied Mathematics, 2020
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Papers by Mehrdad Massoudi