GEOMETRIC OPTIMIZATION OF RADIATIVE ENCLOSURES THROUGH NONLINEAR PROGRAMMING

This article introduces a methodology for designing the geometry of diffuse-walled radiant enclosures through nonlinear programming. In this application, the enclosure is represented parametrically using B-spline curves, while the radiosity distribution is solved by infinitesimal-area analysis. The...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Vol. 43; no. 3; pp. 203 - 219
Main Authors: Daun, K. J., Howell, J. R., Morton, D. P.
Format: Journal Article
Language:English
Published: Philadelphia, PA Informa UK Ltd 01.03.2003
Taylor & Francis
Subjects:
Analytical and numerical techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat transfer
Physics
Thermal radiation
Geometrical shape
Algorithms
Thermal radiation
Digital simulation
Radiative transfer
Enclosure
Nonlinear programming
Optimization
Optimal design
ISSN:1040-7790, 1521-0626
Online Access:Get full text
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Summary:This article introduces a methodology for designing the geometry of diffuse-walled radiant enclosures through nonlinear programming. In this application, the enclosure is represented parametrically using B-spline curves, while the radiosity distribution is solved by infinitesimal-area analysis. The enclosure geometry is repeatedly adjusted with a gradient-based minimization algorithm until a near-optimum solution is found. This approach requires far less design time than the forward "trial-and-error" methodology, and the quality of the final solution is usually much better. The methodology is demonstrated by optimizing the geometry of a 2-D radiant enclosure, with the objective of obtaining a desired radiosity distribution over a portion of the enclosure surface.
ISSN:1040-7790
1521-0626
DOI:10.1080/713836205