Simultaneous Reconstruction of Thermal Field and Retrieval of Parameters in a Cylindrical Enclosure

Abstract

This article deals with the reconstruction of temperature/heat flux profile and retrieval of parameters in a transient conduction and radiation heat transfer problem in a concentric cylindrical enclosure. Reconstruction and retrievals are achieved through the genetic algorithm (GA). In the conduction problem, the lattice Boltzmann method coupled with the GA is used for the reconstruction and retrievals; whereas in the radiation problem, the same are achieved through the discrete transfer method and the GA. The accuracies of the estimated parameters are studied for the effects of measurement errors, genetic variables such as the best fitness, the population size, and the number of generations. Reconstructed temperature and heat flux profiles and the estimated parameters are in good agreement with the exact ones.

Inverse analysis applied to retrieval of parameters and reconstruction of temperature field in a transient conduction–radiation heat transfer problem involving mixed boundary conditions

“…where the divergence of radiative heat flux ∂q R ∂x that accounts for the volumetric radiation in the medium is given by [16][17][18][19][20][21] ∂q R ∂x = βð1−ωÞ 4π…”

“…They used the FVM for the solution of the energy equation. Das et al [16][17][18][19] have extended the inverse analysis using the lattice Boltzmann method (LBM)-FVM in conjunction with the GA. They have solved conduction and/or radiation problems involving 1-D and 2-D Cartesian geometry [16,17], cylindrical geometry [18] and conduction-radiation problem involving variable thermal conductivity [19] in a planar medium.…”

“…Das et al [16][17][18][19] have extended the inverse analysis using the lattice Boltzmann method (LBM)-FVM in conjunction with the GA. They have solved conduction and/or radiation problems involving 1-D and 2-D Cartesian geometry [16,17], cylindrical geometry [18] and conduction-radiation problem involving variable thermal conductivity [19] in a planar medium. From the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], it has been observed that an inverse method has not been applied to a combined mode conductionradiation problem that deal with two types of boundary conditions and one of the objectives remains to simultaneously estimate of one of the unknown boundary conditions and a boundary property.…”

“…From the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], it has been observed that an inverse method has not been applied to a combined mode conductionradiation problem that deal with two types of boundary conditions and one of the objectives remains to simultaneously estimate of one of the unknown boundary conditions and a boundary property. These days, usage of the LBM-FVM has gained wide popularity in conduction radiation problems, and the GA is an efficient optimization tool [14,[16][17][18][19]21,22]. Therefore, in the present work, we use the LBM-FVM in conjunction with the GA for the simultaneous reconstruction of the temperature field and to estimate two parameters, viz.…”

“…For many thermal devices, these quantities are known, and thermal analyses of such devices are, therefore, relatively less involved. However, in varieties of heat transfer problems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], one or more of the quantities such as medium properties, initial condition and boundary conditions remain unknown. Determination of these unknown quantities relies on experiments as well as numerical methodologies involving an inverse method.…”