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Particle mixing and diffusion in the turbulent wake of cylinder arrays

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Abstract

The collection of 10 μ DOP droplets from an aerosol flow around an array of five circular cylinders in a turbulent air stream was measured. Axial and angled alignments of the target array, normal to the flow, were examined. Cylinder Reynolds numbers ranged from 1,300 to 5,100, and effective Stokes numbers from 0.50 to 1.58. A continuous line source turbulent diffusion model was used with the centerline velocity and concentration distributions to derive the eddy diffusion coefficients for momentum and particle concentration in the near wake of the cyinders. Angled collection results showed an optimal target alignment at the edge of the momentum wake of the lead cylinder. Further examination with an LDA system suggests the peak in collection is due to a particle velocity surplus in the wake.

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Abbreviations

A k :

projected area of cylinder k

A t :

cross sectional area of flow

b :

wake width

C :

particle concentration

C 1 :

concentration deficit

C D.n :

drag coefficient of nth cylinder

d :

diameter

φ :

vortex shedding frequency

L c :

length of cylinder

n :

cylinder rank

Q :

strength of line source

R L :

Lagrangian time autocorrelation coefficient

Re :

Reynolds number (U dρ/μ)

T L :

Lagrangian integral time scale

U :

x-directed velocity

U 1 :

velocity deficit

u :

fluctuating axial velocity component

v :

fluctuating lateral velocity component

V :

drop volume

x :

intercylinder spacing

y :

lateral displacement

β :

mixing length proportionality constant

A :

measured droplet diameter

ɛ :

eddy diffusivity

η * :

corrected collection efficiency

θ :

contact angle of droplet on surface

μ :

viscosity of air

ρ :

density

τ :

time

Ψ :

non-Stokesian drag correction factor

c :

cylinder

g :

gas

M :

momentum

p :

particles

θ :

theoretical (Stokes efficiency)

aneth:

freestream value

1, n :

cylinder rank 1 or n

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Authors and Affiliations

  1. School of Chemical Engineering, Georgia Institute of Technology, 30332-0100, Atlanta, Georgia, USA

    J. K. Helgesen & M. J. Matteson

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  1. J. K. Helgesen
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  2. M. J. Matteson
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Helgesen, J.K., Matteson, M.J. Particle mixing and diffusion in the turbulent wake of cylinder arrays. Experiments in Fluids 10, 333–340 (1991). https://doi.org/10.1007/BF00190249

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