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Influence of Saffman's lift force on the motion of a particle in a Couette layer

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

The article is concerned with the study of the effect of E. S. Asmolov's corrections to Saffman's lift force for the wall vicinity and a nonzero ratio of Reynolds numbers. It is shown in what way these corrections change the particle paths in a Couette layer and the conditions of deposition.

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Abbreviations

x=X/D, y=Y/D :

dimensionless longitudinal and transverse coordinates

u=U p /U ∞, ν=V p /U ∞ :

dimensionless projections of particle velocity on the longitudinal and transverse axes

τ=tU ∞/D :

dimensionless time

U ∥δ2/(18νλD):

Stokes number

λ=ρ g /ρ p , ν:

coefficient of the gas kinematic viscosity

δ:

particle diameter

\(\tilde \delta\) :

δ/D

ρ g ,ρ p :

densities of the gas and particle material

\(\dot u\) :

du/dτ

\(\dot v\) :

dv/dτ

P s :

Saffman's force

C :

coefficient in the formula for Saffman's force

η:

yRe 1/2 d

A :

v r Re 1/2 d

αζ :

3.08λ

Reν :

δV r /ν

Re k :

δ2/ν)∂U g /∂Y

A :

Reν/Re 1/2k

Re d :

U ∞ D/ν

V r :

((U g −U p )2+V 2p )1/2

g :

refers to gas parameters

p :

refers to the parameters of particles

0:

at the time momentt=0

S :

Saffman's force

k :

Reynolds number based on the velocity gradient

ν:

based on velocity

r :

relative velocity

x :

projection on thex axis

References

  1. P. G. Saffman, J. Fluid Mech.,22, No. 2, 385–400 (1965).

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  2. E. S. Asmolov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 91–96 (1990).

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  3. E. S. Asmolov, Izv. RAN, Mekh. Zhidk. Gaza, No. 1, 66–73 (1992).

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  4. A. A. Shrayber, L. B. Gavin, V. A. Naumov, and V. P. Yatsenko, Turbulent Gas Suspension Flows [in Russian], Kiev (1987).

  5. M. A. Brich, Heat and Mass Transfer: Results and Perspectives [in Russian], Minsk (1985).

  6. V. A. Naumov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 171–173 (1988).

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  7. V. A. Naumov, Izv. RAN, Mekh. Zhidk. Gaza, No. 2, 186–187 (1992).

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Authors
  1. V. A. Naumov
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Naumov, V.A. Influence of Saffman's lift force on the motion of a particle in a Couette layer. J Eng Phys Thermophys 68, 683–686 (1995). https://doi.org/10.1007/BF00858072

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  • DOI: https://doi.org/10.1007/BF00858072

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