Inverse Boundary Design Radiation Problem in Absorbing-Emitting Media With Irregular Geometry

Abstract

An inverse analysis is employed to estimate the unknown heat flux distribution over the heater surface of an irregular 2-D domain with participating media from the knowledge of a desired temperature and heat flux distributions over a given design surface. The discrete transfer method is employed to solve the radiative transfer equation and a conjugate gradient method is used for minimization of an objective function, which is expressed by the sum of square residuals between estimated and desired heat fluxes. The performance of the present technique for inverse radiation analysis is evaluated by several numerical experiments.

Geometric optimization of radiative enclosures using PSO algorithm

“…Since the emissive powers on surface elements are not defined, an iterative method will be necessary to correct the emissive power distribution [2].…”

Nongray inverse boundary design problems in enclosures at radiative equilibrium

“…These kinds of problems are known as inverse problems. The inverse problems may be classified into two categories of "design" [1][2][3][4][5][6][7][8][9][10][11][12][13] and "identification" [14][15][16][17][18][19][20][21][22] problems. The inverse problems can be solved by the regularization (explicit) and optimization (implicit) methods.…”

“…The inverse problems can be solved by the regularization (explicit) and optimization (implicit) methods. 11 Optimization techniques can be classified as gradient-based methods 4,8,10,23 and heuristic or gradient-free methods. 19,20,[24][25][26][27] In the gradientbased methods, the local topography of the objective function is used to find a path toward the minimum point of the objective function, that is, by using the first and sometimes the second derivative of the objective function.…”

Study on inverse estimation of radiative reflection properties in mid-wavelength infrared region by using the repulsive particle swarm optimization algorithm

“…Above all, inverse heat transfer analysis is the most common problem among the engineering fields. The optical thickness, absorptivity, scattering coefficient, emissivity, and radiation heat flux are estimated by an inverse radiation analysis using measured data such as media temperature and radiant intensity [7][8][9][10][11]. Also, properties of the pyrolysis model, which is incorporated with the conduction, convection, radiation, and combustion effects, have been estimated [12][13][14][15].…”