A Multiphase Mixture Theory for Fluid-Particle Flows

Author(s):  
J.W. Nunziato
1987 ◽  
Vol 109 (3) ◽  
pp. 324-331
Author(s):  
R. C. Givler ◽  
R. R. Mikatarian

In order to understand how a particulate plug may evolve within the flow of an essentially homogeneous suspension, we have developed a fluid-particle flow model. This theoretical model is based upon a monodisperse collection of rigid, spherical particles suspended in an incompressible, Newtonian liquid. Balance equations of mass and momentum are given for each phase within the context of a continuum mixture theory. The interactions between the phases are dominated by interfacial drag forces and unequilibrated pressure forces. The pressure associated with the solid particles is given by a phenomenological model based upon the flow dynamics. Of primary concern is the calculation of solid particle concentrations within a flow field to indicate the initiation of a particulate plug.


2008 ◽  
Vol 227 (4) ◽  
pp. 2514-2539 ◽  
Author(s):  
O. Desjardins ◽  
R.O. Fox ◽  
P. Villedieu

2006 ◽  
Vol 44 (1) ◽  
pp. 70-78 ◽  
Author(s):  
Nikolai Lukerchenko ◽  
Zdenek Chara ◽  
Pavel Vlasak

2001 ◽  
Vol 6 (6) ◽  
pp. 505-526 ◽  
Author(s):  
Mehrdad Massoudi ◽  
C. Lakshmana Rao

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.


Author(s):  
Sijun Zhang ◽  
Madhaveswer Gentela

In this paper, a macro particle method is developed to model the fluid-particle flows. The macro particle is formed by a collection of micro-sized particle so that the number of macro particle to be tracked is much less than the number of smaller particle. Unlike the calculations of instantaneous point variables of fluid phase with moving discrete boundaries of the smaller particles with direct numerical simulation, the boundary of each macro particle is just dealt with the blocked-off approach. On the other hand, the flow fields based on the present method is solved by original Navier-Stokes, rather than the modified ones based on the locally averaged theorem. The flow fields are solved on the length scale of computational cell, while the resolutions of solid particles are the size of macro particle, which is determined as needed in specific applications. The macro particle method is validated by several cases, which demonstrate the macro particle method could accurately resolve fluid-particle systems in an efficient, robust and flexible fashion.


2009 ◽  
Vol 188 (3) ◽  
pp. 195-205 ◽  
Author(s):  
C.R. Duarte ◽  
M. Olazar ◽  
V.V. Murata ◽  
M.A.S. Barrozo

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