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Particle deposition due to thermal force in a tube

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Abstract

Particle deposition in a tube with laminar flow is investigated. An analytical procedure is developed for predicting the particle deposition efficiency by incorporating the velocity of thermophoresis in the equation of conservation of particles. Effects of important parameters, such as temperature difference between the inlet gas and the tube wall, particle size and the Lewis number, on the particle precipitation efficiency are examined. Also considered in this work is the assumption of constant temperature gradient as a limiting case. It is found that particle precipitation efficiency predicted by using constant temperature gradient is much optimistic.

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Abbreviations

C :

particle concentration

C o :

inlet particle concentration

〈C〉:

bulk particle concentration

D :

molecular diffusivity

f :

dimensionless constant, 0.571, 0.79 and 1.22

Le :

Lewis number, α/D

M :

molecular weight

P :

pressure

r :

radial coordinate

r o :

radius of tube

R :

dimensionless radial coordinate, r/r o

R g :

gas constant

T :

temperature

T o :

inlet gas temperature

T w :

tube wall temperature

u p :

laminar velocity

〈u p〉:

bulk velocity

v p :

velocity of thermophoresis

W :

dimensionless parameter, R g μ o fT o/2DPM

x :

axial coordinate

X :

dimensionless axial coordinate, xD/〈u〉 r 20

Y :

dimensionless particle concentration, C/C o

〈Y〉:

bulk dimensionless particle concentration

α :

thermal diffusivity

β :

ratio of wall to inlet gas temperatures, T w/T o

μ :

gas viscosity

μ o :

gas viscosity at temperature T o

τ :

shear stress

τ w :

shear stress at wal

ρ :

density

θ :

dimensionless temperature, (T−T w)/(T o−T w)

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Authors and Affiliations

  1. Dept. of Chem. Eng., Univ. of Melbourne, 3054, Parkville, Victoria, Australia

    S. H. Lin

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  1. S. H. Lin
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Lin, S.H. Particle deposition due to thermal force in a tube. Appl. Sci. Res. 32, 637–648 (1976). https://doi.org/10.1007/BF00384125

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  • DOI: https://doi.org/10.1007/BF00384125

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