This article presents an optimal shape design methodology for heat convection problems. In this study, the shape of the convective medium is parameterized by means of non-uniform rational B-spline (NURBS) surfaces, and their control points represent the design variables. The convective domain is discretized by choosing the parameters of NURBS surfaces as generalized curvilinear coordinates, and the conservation equations are solved using the finite difference method. The simplified conjugate-gradient method (SCGM) is used as the optimization method to obtain the optimal shape and adjust the design variables intelligently. The methodology is demonstrated by optimizing the shape profile of a natural convective cavity with the objective of reducing the maximum wall temperature.
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ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences
July 19–23, 2009
San Francisco, California, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4357-4
PROCEEDINGS PAPER
Optimal Shape Design for Heat Convection Problems Using NURBS Available to Purchase
Farbod Fakhrabadi,
Farbod Fakhrabadi
University of Tehran, Tehran, Iran
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Farshad Kowsary
Farshad Kowsary
University of Tehran, Tehran, Iran
Search for other works by this author on:
Farbod Fakhrabadi
University of Tehran, Tehran, Iran
Farshad Kowsary
University of Tehran, Tehran, Iran
Paper No:
HT2009-88614, pp. 429-434; 6 pages
Published Online:
March 12, 2010
Citation
Fakhrabadi, F, & Kowsary, F. "Optimal Shape Design for Heat Convection Problems Using NURBS." Proceedings of the ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. Volume 2: Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Computational Heat Transfer. San Francisco, California, USA. July 19–23, 2009. pp. 429-434. ASME. https://doi.org/10.1115/HT2009-88614
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