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Deposition of droplets from turbulent stream

Das Ausscheiden von Tropfen aus turbulenter Gasströmung

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Abstract

A model of particle deposition from a turbulent stream is presented. It is based on the modified stopping distance concept which allows for the difference between particle and eddy diffusivities, recognizing that the particle has equal probability to move toward the wall or back into the turbulent core. The theory is tested against the data which cover a wide range of droplet size and duct Reynolds number for different surface configuration. A quite satisfactory agreement has been found in all examined cases.

Zusammenfassung

Es wird ein Modell des Ausscheidens von Tropfen bzw. Teilchen aus einer turbulenten Strömung behandelt. Die Grundlage bildet eine Modifikation des Konzepts des Bremsweges eines Teilchens unter Annahme gleicher Wahrscheinlich-keit der Teilchenbewegung in beiden Richtungen vertikal zur Wand. Die Theorie wurde mit Experimentalwerten verglichen, die sich über einen weiten Arbeitsbereich erstreckten. In allen untersuchten FÄllen hat sich gute übereinstimmung mit der Theorie ergeben.

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Abbreviations

A, A 1 :

constant coefficients

a, a 1 a 2 :

constant coefficients

b :

ratio of eddy diffusivities

B :

ratio of average to maximum concentration

c :

concentration

d :

diameter

D :

coefficient defined in the text

E g :

energy spectrum of velocity fluctuations

f s :

friction factor

F :

gravity force

g :

gravity acceleration

k :

mass transfer coefficient

m :

particle mass flux, exponent

n, n 1,n 2 :

exponents

P, P 1 P 2 :

probabilities

R :

ratioΝ′g/u*

Re:

duct Reynolds number, Re=¯u d t/v g

s :

stopping distance

s + :

dimensionless stopping distance,s +=s u */v g

u :

axial velocity

u * :

friction velocity,u *=√Τ w/ϱ g

v :

y-directional velocity

v′ :

y-directional velocity fluctuations

y, Y :

distance from duct wall

y + :

dimensionless distance,y +=y u */v g

α :

angle

δ :

boundary layer thickness

ε p,ε g :

particle and gas diffusivities

Ω :

angular frequency

η :

ratio between amplitudes of oscillation of particle and gas

Μ :

viscosity

v :

kinematic viscosity

Τ:

shear stress

ϱ :

density

c:

center

ch:

characteristic

g:

gas

gr:

gravity

o:

initial

p:

particle, droplet

t:

turbulent, tube

w:

wall

ϕ :

circumferential

-:

mean

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Authors and Affiliations

  1. Institute of Fluid Flow Machines, Polish Academy of Sciences, ul. Gen. Fiszera 14, 80-952, Gdańsk, Poland

    M. Trela

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  1. M. Trela
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Trela, M. Deposition of droplets from turbulent stream. Wärme- und Stoffübertragung 16, 161–168 (1982). https://doi.org/10.1007/BF01679502

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  • DOI: https://doi.org/10.1007/BF01679502

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