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Tomographic Reconstruction of Probability Density Functions in Turbulent Flames



P Vallikul, R Goulard, C Mavriplis, Marc R. Nyden


Local probability density functions (PDF) of absorption coefficients within turbulent flames have been retrieved from their multi-angular absorption data of path-integrated probability density functions via a series of numerical techniques. First the Filter Back-Projection (FBP) technique has been used to reconstruct local moments within the flame then the moments are transformed to the local PDFs by using the singular value decomposition (SVD) technique. The FBP technique transforms the absorption data into the frequency domain where noisy components can be truncated while turbulent components are still preserved in the form of reconstructed moments. The reconstruction algorithm is tested by using both synthetic and experimental absorption data. Reconstruction from synthetic data allows the reconstruction algorithm to be evaluated independently of path measurement noise. On the other hand, reconstruction from experimental data demonstrates the capability of determining the local PDF analytically within the turbulent flame. Good reconstruction results are obtained from both cases and the reconstruction algorithm is justified.
Proceedings Title
International Interflam Conference, 7th Proceedings.
Conference Dates
March 26-28, 1996
Conference Location
Cambridge, UK
Conference Title
Interscience Communications


fire safety, smoke measurement, turbulent flames, density effects, algorithms


Vallikul, P. , Goulard, R. , Mavriplis, C. and Nyden, M. (1996), Tomographic Reconstruction of Probability Density Functions in Turbulent Flames, International Interflam Conference, 7th Proceedings., Cambridge, UK, [online], (Accessed July 20, 2024)


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Created March 25, 1996, Updated October 12, 2021