Inverse Optimal Design of Radiant Enclosures With Participating Media: A Parametric Study

An inverse analysis is employed to estimate the required input on the heater surface (i.e., heater power distribution) that produces the desired temperature and heat flux distribution over the design surface. The inverse problem is formulated as an optimization problem for minimization of an objecti...

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Bibliographic Details
Published in:Heat transfer engineering 2013-01, Vol.34 (4), p.288-302
Main Authors: Amiri, Hossein, Mansouri, Seyed Hossein, Coelho, Pedro J.
Format: Article
Language:English
Subjects:
Analytical and numerical techniques
Applied sciences
Design engineering
Design optimization
Enclosures
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat transfer
Heaters
Hydronic heating
Inverse problems
Mathematical analysis
Optimization
Phase transitions
Physics
Radiation
Scattering
Theoretical studies. Data and constants. Metering
Thermal radiation
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Summary:An inverse analysis is employed to estimate the required input on the heater surface (i.e., heater power distribution) that produces the desired temperature and heat flux distribution over the design surface. The inverse problem is formulated as an optimization problem for minimization of an objective function, which is defined by the sum of the square of the difference between estimated and desired heat fluxes distribution over the design surface. The optimization problem is solved using the conjugate gradient method through an iterative procedure. The modified discrete ordinates method is used to solve the radiative transfer equation in an absorbing, emitting, and isotropic/anisotropic scattering medium. Enclosures with diffuse and gray walls are considered. Radiation is assumed to be the dominant mode of heat transfer. First, the performance and accuracy of the present method for solving direct and inverse problems are checked. Then, the effect of some thermophysical properties, such as extinction coefficient, scattering albedo, scattering phase function, and design surface emissivity, on the optimal solution is considered. And finally, effects of measurement errors in radiative properties on the optimal solution are investigated.
ISSN:0145-7632
1521-0537
DOI:10.1080/01457632.2013.695202