Skip to main content
SpringerLink
Log in

Tomographic reconstruction of two-phase flows

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

Tomography has been investigated to observe bubble behaviors in two-phase flows. A bubbly flow and an annular flow have been reconstructed by tomography methods such as an algebraic reconstruction technique (ART) and a multiplicative algebraic reconstruction technique (MART). Computer synthesized phantom fields have been used to calculate asymmetric density distributions for limited cases of 3, 5, and 7 projection angles. As a result of comparison of two tomography methods, the MART method has shown a significant improvement in the reconstruction accuracy for analysis of the two-phase flows.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

Aj :

Components of ellipse or circle

aj, bj, Cj :

Coefficients of components corresponding to location coordinates of center, and major and minor axes

b:

Basis function

C:

Multiplicative correction vector

f:

Actual field

f⋀:

Guessed or intermediate objective function to be optimized

f⋀:

Average value of phantom field f

G:

Gladstone-Dale constant

J:

Equally spaced points in x direction

K:

Equally spaced points in y direction

N:

Number of basis functions

n:

Index of refraction

Oj :

Height coefficient of j-th basis function

P:

Number of projection angles

q:

Iteration number

R:

Number of ray sums per each projection

S:

Coordinateon theprojectionplane, perpendicular to the ray direction

t:

Coordinate parallel to the ray direction

W:

Projection matrix

Wi,j :

Weighting factor of MART

wi :

i-th row of projection matrix

(x, y):

Objective field coordinate

x, y:

Inner product of vectors x and y

α:

Line-of-sight beam deflection angle

Δ:

Grid spacing

ω:

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

*:

Reference field

References

  • Decker, A. J., 1993, “Tomographic Methods in Flow Diagnostics,”NASA Report, No. 106330.

  • Fomin, N. A., 1998,Speckle Photography for Fluid Mechanics Measurements, Springer, Berlin.

    Book  Google Scholar 

  • Françon, M., 1979,Laser Speckle and Applications in Optics, Academic Press, New York.

    Google Scholar 

  • Gordon, R., 1974, “A Tutorial on ART,”IEEE Trans. on Nuclear Science, Vol. NS-21, pp. 78–92.

    Article  Google Scholar 

  • Hanson, K. M. and Wecksung, G. W., 1985, “Local Basis Function Approach to Computed Tomography,”Appl. Opt., Vol. 24, No. 23, pp.4028–4039.

    Article  Google Scholar 

  • Kak, A. C. and Slaney, M., 1987,Principles of Computerized Tomographie Imaging, IEEE Press, New York.

    Google Scholar 

  • Kastell, D., Kihm, K. D. and Fletcher, L. S., 1992, “Study of Laminar Thermal Boundary Layers Occurring around the Leading Edge of a Vertical Isothermal Wall Using a Specklegram Technique,”Exper. Fluids, Vol. 13, pp. 249–256.

    Article  Google Scholar 

  • Kihm, K. D., 1997, “Laser Speckle Photography Technique Applied for Heat and Mass Transfer Problems,”Advan. in Heat Transfer. Vol. 30, pp. 255–311.

    Article  Google Scholar 

  • Kihm, K. D., Ko, H. S. and Lyons, D. P., 1998, “Tomographie Identification of Gas Bubbles in Two-Phase Flows with the Combined Use of the Algebraic Reconstruction Technique and the Genetic Algorithm,”Opt. Lett., Vol. 23, No. 9, pp. 658–660.

    Article  Google Scholar 

  • Ko, H. S. and Kihm, K. D., 1999, “An Extended Algebraic Reconstruction Technique (ART) for Density-Gradient Projections: Laser Speckle Photographic Tomography,”Exper. Fluids, Vol. 27, No. 6, pp. 542–550.

    Article  Google Scholar 

  • Ko, H. S., Lyons, D. P. and Kihm, K. D., 1997, “A Comparative Study of Algebraic Reconstruction (ART) and Genetic Algorithms (GA) for Beam Deflection Tomography,”ASME Fluids Engrg. Div. Summer Meeting, Vancouver, Canada, Paper FEDSM 97-3104.

  • Ko, H. S., Okamoto, K. and Madarame, H., 2001, “Reconstruction of Transient Three-dimensional Density Distributions Using Digital Speckle Tomography,”Meas. Sci. Tech., Vol. 12, No. 8, pp. 1219–1226.

    Article  Google Scholar 

  • Liu, T. C., Merzkirch, W. and Oberste-Lehn, K., 1989, “Optical Tomography Applied to a Speckle Photographic Measurement of Asymmetric Flows with Variable Density,”Exper. Fluids, Vol. 7, pp. 157–163.

    Article  Google Scholar 

  • Partington, J. R., 1953,Physico- Chemical Optics, Vol. IV, An Advanced Treatise on Physical Chemistry. Longmans Green, London.

    Google Scholar 

  • Verhoeven, D., 1993, “Limited-data Computed Tomography Algorithms for the Physical Sciences,”Appl. Opt., Vol. 32, No. 20, pp. 3736–3754.

    Article  Google Scholar 

  • Vest, C. M., 1979,Holographic Interferometry, John Wiley & Sons, New York.

    Google Scholar 

Download references

Author information

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

    Yong-Jae Kim

Authors
  1. Han Seo Ko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yong-Jae Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Han Seo Ko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ko, H.S., Kim, YJ. Tomographic reconstruction of two-phase flows. KSME International Journal 17, 571–580 (2003). https://doi.org/10.1007/BF02984458

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02984458

Key words

Search

Navigation