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Analysis of density distribution for unsteady butane flow using three-dimensional digital speckle tomography

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Abstract

Transient and asymmetric density distributions have been investigated by three-dimensional digital speckle tomography. Multiple CCD images captured movements of speckles in three angles of view simultaneously because the flows were asymmetric and transient. The speckle movements between no flow and downward butane flow from a circular half opening have been calculated by a cross-correlation tracking method so that those distances can be transferred to deflection angles of laser rays for density gradients. The three-dimensional density fields have been reconstructed from the deflection angles by a real-time multiplicative algebraic reconstruction technique (MART).

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Abbreviations

b :

Basis function

C :

Multiplicative correction vector

f :

Actual field

f :

Guessed or intermediate objective function to be optimized

f :

Average value of phantom fieldf

G :

Gladstone-Dale constant

J :

Equally spaced points inx direction

K :

Equally spaced points iny direction

L :

Equally spaced points inz direction

l :

Distance between the test section and the viewing screen

O j :

Height coefficient ofj-th basis function

Q :

Flow rate

q :

Iteration number

s:

Coordinate on the projection plane, perpendicular to the ray direction

t :

Coordinate parallel to the ray direction

W :

Projection matrix

W ij :

Weighting factor of MART

W i :

2-th row of projection matrix

(x, y, z) :

Objective field coordinate

Z :

Maximum value of the computer-synthesiz ed phantom field

a :

Line-of-sight beam deflection angle

δ:

Speckle displacement

φ:

Reconstruction error

λ:

Laser wave length

θ:

Angle of projection

ρ:

Density

ψ:

Measured projection

Ψ:

Virtual projection of guessed field

abs :

Normalized absolute

avg :

Average

IF :

Interferometry

ref :

Reference condition

rms :

Normalized rms

SP :

Digital specklegram

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Authors and Affiliations

  1. School of Mechanical Engineering, Sungkyunkwan University, 300 Chunchun-dong, Jangan-gu, Suwon, 440-746, Kyunggi-do, Korea

    Han Seo Ko

  2. Graduate School, Department of Mechanical Engineering, Sungkyunkwan University, 300 Chunchun-dong, Jangan-gu, Suwon, 440-746, Kyunggi-do, Korea

    Kwang-Hee Park & Yong-Jae Kim

Authors
  1. Han Seo Ko
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  2. Kwang-Hee Park
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  3. Yong-Jae Kim
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Correspondence to Han Seo Ko.

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Ko, H.S., Park, KH. & Kim, YJ. Analysis of density distribution for unsteady butane flow using three-dimensional digital speckle tomography. KSME International Journal 18, 1213–1221 (2004). https://doi.org/10.1007/BF02983296

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