Inverse Design Model for Radiative Heat Transfer

2000 ◽  
Vol 122 (3) ◽  
pp. 492-502 ◽  
Author(s):  
J. R. Howell ◽  
O. A. Ezekoye ◽  
J. C. Morales
Keyword(s):  
Heat Transfer ◽  
Thermal Analysis ◽  
Radiative Heat Transfer ◽  
Trial Design ◽  
Radiative Heat ◽  
Inverse Solution ◽  
Thermal Design ◽  
Inverse Design ◽  
System Behavior ◽  
Iterative Design

Inverse solution techniques are applied to the design of heat transfer systems where radiation is important. Various solutions using inverse methods are demonstrated, and it is argued that inverse design techniques provide an alternative to conventional iterative design methods that is more accurate and faster, and can provide a greatly improved first estimate of a thermal design. This estimate can then be used as a trial design in more complete thermal analysis programs for predicting system behavior, eliminating many faulty first design trials. [S0022-1481(00)02703-1]

Inverse Solution of Radiative Heat Transfer in Two-Dimensional Irregularly Shaped Enclosures

2000 ◽  
Author(s):  
Hakan Ertürk ◽  
Ofodike A. Ezekoye ◽  
John R. Howell
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Industrial Applications ◽  
Dominant Mode ◽  
Inverse Solution ◽  
Solution Technique ◽  
Complex Geometries ◽  
Two Dimensional

Abstract An inverse solution technique is used to predict the necessary temperature and heat flux distributions of the heater section of a two-dimensional enclosure so the heater satisfies the specified heat flux and temperature distributions of design surfaces, while satisfying one thermal boundary condition for the other walls. Radiation is the dominant mode of heat transfer in systems where high temperatures are present; therefore, it is considered as the only mode of heat transfer in this study. The two-dimensional enclosures considered in this study are made up of straight segments, positioned so that they form irregularly shaped enclosures approximating situations for many of the real cases in industrial applications. The enclosure walls are gray, emitting diffusely and reflecting either diffusely or specularly. The medium inside the enclosure may be transparent, absorbing-emitting or absorbing-emitting and isotropically scattering. For the participating medium cases, the gray medium is considered as isothermal, homogeneous and isotropically scattering. The Monte Carlo method is used for formulation of radiative heat transfer. The method is preferred for its accuracy and ease of handling complex geometries and various surface and medium properties. The main contribution of this study is to solve inverse design problems for complex geometries that contain blockage and shading effects, as could be the case in many real industrial applications. The resulting system of equations, which includes Fredholm equations of the first kind, is known to be highly ill-conditioned in nature. The solution for this ill-conditioned system is handled by the conjugate gradient method, an iterative solution method, which obtains smooth and very accurate solutions in a few steps for linear systems.

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