Applied Scientific Research

, Volume 49, Issue 4, pp 345–354

Analysis of the squeezing flow of dusty fluids

  • M. H. Hamdan
  • R. M. Barron
Article

DOI: 10.1007/BF00419980

Cite this article as:
Hamdan, M.H. & Barron, R.M. Applied Scientific Research (1992) 49: 345. doi:10.1007/BF00419980

Abstract

The current investigation deals with the study of the effect of introducing a small fraction of dust, by volume, to the fluid in a squeeze film on the viscous resistance to a steady moving disc. Expressions are obtained for the fluid-phase and the dust-phase velocity distributions and the dust particle number density. Analysis based on an iterative procedure indicates that the resistance to motion experienced by the moving disc increases due to the presence of dust.

Key words

dusty gases squeezing flow interative solution 

Nomenclature

A

arbitrary function of integration

B

bulk concentration

F

resistance to motion experienced by the disc (dusty fluid case)

Fc

resistance to motion experienced by the disc (clean fluid case)

F*

difference in resistance between the clean fluid and dusty fluid films

f

mass concentration

h

thickness of the squeeze film

K

Stokes coefficient of resistance

m

mass of a single dust particle

μ

fluid viscosity coefficient

N

dust particles number density

N0

dust particles number density at r=R

n

iteration level

p

fluid pressure in the squeeze film

P

pressure in the surrounding

R

radius of the disc

ρ

fluid density

(r, θ, y)

cylindrical coordinates

t

time

U

fluid-phase velocity vector

V

dust-phase velocity vector

Ũ1

fluid-phase radial velocity component

U2

dust-phase radial velocity component

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • M. H. Hamdan
    • 1
  • R. M. Barron
    • 2
  1. 1.Division of MecsUniversity of New BrunswickSaint JohnCanada
  2. 2.Department of Mathematics & Statistics, and Fluid Dynamics Research InstituteUniversity of WindsorWindsorCanada

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