On the improvement of two-dimensional curvature computation and its application to turbulent premixed flame correlations

Robin S.M. Chrystie, I.S. Burns, J. Hult, C.F. Kaminski

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Measurement of curvature of the flamefront of premixed turbulent flames is important for the validation of numerical models for combustion. In this work, curvature is measured from contours that outline the flamefront, which are generated from laser-induced fluorescence images. The contours are inherently digitized, resulting in pixelation effects that lead to difficulties in computing curvature of the flamefront accurately. A common approach is to fit functions locally to short sections along the flame contour, and this approach is also followed in this work; the method helps smoothen the pixelation before curvature is measured. However, the length and degree of the polynomial, and hence the amount of smoothing, must be correctly set in order to maximize the precision and accuracy of the curvature measurements. Other researchers have applied polynomials of different orders and over different segment lengths to circles of known curvature as a test to determine the appropriate choice of polynomial; it is shown here that this method results in a sub-optimal choice of polynomial function. Here, we determine more suitable polynomial functions through use of a circle whose radius is sinusoidally modulated. We show that this leads to a more consistent and reliable choice for the local polynomial functions fitted to experimental data. A polynomial function thus determined is then applied to flame contour data to measure curvature of experimentally acquired flame contours. The results show that there is an enhancement in local flame speed at sections of the flamefront with a non-zero curvature, and this agrees with numerical models.
LanguageEnglish
Article number125503
Number of pages11
JournalMeasurement Science and Technology
Volume19
Issue number12
DOIs
Publication statusPublished - 24 Oct 2008

Fingerprint

Premixed Flame
turbulent flames
premixed flames
Flame
Curvature
curvature
Polynomials
polynomials
Polynomial function
flames
Polynomial
Osculating circle
Numerical models
Curvature Measure
Laser-induced Fluorescence
Local Polynomial
Combustion
Smoothing
Circle
Enhancement

Keywords

  • flamefront curvature
  • laser-induced fluorescence
  • polynomial fitting
  • improvement
  • two-dimensional
  • curvature computation
  • application
  • turbulent
  • premixed flame correlations

Cite this

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title = "On the improvement of two-dimensional curvature computation and its application to turbulent premixed flame correlations",
abstract = "Measurement of curvature of the flamefront of premixed turbulent flames is important for the validation of numerical models for combustion. In this work, curvature is measured from contours that outline the flamefront, which are generated from laser-induced fluorescence images. The contours are inherently digitized, resulting in pixelation effects that lead to difficulties in computing curvature of the flamefront accurately. A common approach is to fit functions locally to short sections along the flame contour, and this approach is also followed in this work; the method helps smoothen the pixelation before curvature is measured. However, the length and degree of the polynomial, and hence the amount of smoothing, must be correctly set in order to maximize the precision and accuracy of the curvature measurements. Other researchers have applied polynomials of different orders and over different segment lengths to circles of known curvature as a test to determine the appropriate choice of polynomial; it is shown here that this method results in a sub-optimal choice of polynomial function. Here, we determine more suitable polynomial functions through use of a circle whose radius is sinusoidally modulated. We show that this leads to a more consistent and reliable choice for the local polynomial functions fitted to experimental data. A polynomial function thus determined is then applied to flame contour data to measure curvature of experimentally acquired flame contours. The results show that there is an enhancement in local flame speed at sections of the flamefront with a non-zero curvature, and this agrees with numerical models.",
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On the improvement of two-dimensional curvature computation and its application to turbulent premixed flame correlations. / Chrystie, Robin S.M.; Burns, I.S.; Hult, J.; Kaminski, C.F.

In: Measurement Science and Technology, Vol. 19, No. 12, 125503, 24.10.2008.

Research output: Contribution to journalArticle

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AU - Burns, I.S.

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