An algorithm for the reconstruction of unsteady three dimensional concentration field from path-integrated data has been discussed. We propose the use of Proper Orthogonal Decomposition (Karhunen Loe´ve Expansion) to completely decouple the spatial and temporal components of the image sequence (projections) obtained from a typical experiment enabling the analysis of an asynchoronous time-dependent data set. We apply the algorithm to experimental data from a Laser Interferometric study of convection in a cylindrical annulus to capture transients that are invariably faster than the camera speed. The strength of the technique is demonstrated in the reconstruction of the flow field (related to concentration gradients) from model (simulated) Schlieren projections. Tomographic reconstruction based on Convolution Back Projection (CBP) has been coupled with Proper Orthogonal Decomposition to enable the reconstruction of unsteady concentration gradient field from asynchronous projections.
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ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences
August 10–14, 2008
Jacksonville, Florida, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4849-4
PROCEEDINGS PAPER
Tomographic Reconstruction of Unsteady Fields Using Proper Orthogonal Decomposition
Dhruv Singh,
Dhruv Singh
Purdue University, West Lafayette, IN
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Atul Srivastava,
Atul Srivastava
Raj Ramanna Centre for Advanced Technology-Indore, Indore, MP, India
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K. Muralidhar
K. Muralidhar
Indian Institute of Technology-Kanpur, Kanpur, UP, India
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Dhruv Singh
Purdue University, West Lafayette, IN
Atul Srivastava
Raj Ramanna Centre for Advanced Technology-Indore, Indore, MP, India
K. Muralidhar
Indian Institute of Technology-Kanpur, Kanpur, UP, India
Paper No:
HT2008-56443, pp. 659-667; 9 pages
Published Online:
July 7, 2009
Citation
Singh, D, Srivastava, A, & Muralidhar, K. "Tomographic Reconstruction of Unsteady Fields Using Proper Orthogonal Decomposition." Proceedings of the ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. Heat Transfer: Volume 3. Jacksonville, Florida, USA. August 10–14, 2008. pp. 659-667. ASME. https://doi.org/10.1115/HT2008-56443
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