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A study by holographic velocimetry of the behaviour of free small particles in a flow

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Abstract

The aim of this paper is to calculate the motion of small dilute particles carried by a given flow with the help of two models of behaviour, and then to compare this motion to that measured by a method of multiple exposure holography. The results lead to the specification of the field of validity of each model. Also they provide information about the ability of the holographic method to be used as a velocimetry technique in fluid mechanics.

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Abbreviations

A :

convective coefficient defined by Eq. (27)

a :

radius of a spherical particle

C A, C D, C H :

corrective coefficients defined by Eqs. (24)–(26)

g :

gravitational acceleration

L :

characteristic length of the flow domain

p :

pressure

r :

distance to the center of the particle

Re :

Reynolds number defined by Eq. (22)

t :

time

U :

characteristic velocity of the flow

u :

flow velocity

u r :

relative velocity u−v

v :

particle velocity

χ i :

Coordinates of a particle

γ :

acceleration of a particle

δ :

particle density divided by fluid density

ɛ :

difference between the fluid and particle velocity divided by the fluid velocity

θ :

angular difference between v and u

ν :

kinematic viscosity

ρ :

fluid density

ω :

rotation of a particle

0:

undisturbed flow

1:

perturbation flow

′:

LDV measurements

∼:

reconstruction in the holographic method

m :

measured value

c :

calculated value

i :

ith component

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Authors and Affiliations

  1. ONERA-IMFL, 5 boulevard Paul Painlevé, F-59000, Lille, France

    M. Dadi, M. Stanislas, O. Rodriguez & A. Dyment

Authors
  1. M. Dadi
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  2. M. Stanislas
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  3. O. Rodriguez
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  4. A. Dyment
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Dadi, M., Stanislas, M., Rodriguez, O. et al. A study by holographic velocimetry of the behaviour of free small particles in a flow. Experiments in Fluids 10, 285–294 (1991). https://doi.org/10.1007/BF00202462

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  • DOI: https://doi.org/10.1007/BF00202462

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