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On the transport properties of fluid-particle flow

Citation

Tam, Christopher Kwong-Wah (1966) On the transport properties of fluid-particle flow. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:10262015-101523465

Abstract

The hydrodynamic forces acting on a solid particle in a viscous, incompressible fluid medium at low Reynolds number flow is investigated mathematically as a prerequisite to the understanding of transport processes in two-phase flow involving solid particles and fluid. Viscous interaction between a small number of spherical particles and continuous solid boundaries as well as fluid interface are analyzed under a “point-force” approximation. Non-spherical and elastic spherical particles in a simple shear flow area are then considered. Non-steady motion of a spherical particle is briefly touched upon to illustrate the transient effect of particle motion.

A macroscopic continuum description of particle-fluid flow is formulated in terms of spatial averages yielding a set of particle continuum and bulk fluid equations. Phenomenological formulas describing the transport processes in a fluid medium are extended to cases where the volume concentration of solid particles is sufficiently high to exert an important influence. Hydrodynamic forces acting on a spherical solid particle in such a system, e.g. drag, torque, rotational coupling force, and viscous collision force between streams of different sized particles moving relative to each other are obtained. Phenomenological constants, such as the shear viscosity coefficient, and the diffusion coefficient of the bulk fluid, are found as a function of the material properties of the constituents of the two-phase system and the volume concentration of solid. For transient heat conduction phenomena, it is found that the introduction of a complex conductivity for the bulk fluid permits a simple mathematical description of this otherwise complicated process. The rate of heat transfer between particle continuum and bulk fluid is also investigated by means of an Oseen-type approximation to the energy equation.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mechanics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Rannie, W. Duncan
Thesis Committee:
  • Unknown, Unknown
Defense Date:28 April 1966
Funders:
Funding AgencyGrant Number
Daniel and Florence Guggenheim FellowshipUNSPECIFIED
CaltechUNSPECIFIED
Record Number:CaltechTHESIS:10262015-101523465
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:10262015-101523465
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9246
Collection:CaltechTHESIS
Deposited By: Leslie Granillo
Deposited On:27 Oct 2015 17:24
Last Modified:27 Oct 2015 17:24

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