scholarly journals Optimal boundary control of a steady-state heat transfer model accounting for radiative effects

2016 ◽  
Vol 439 (2) ◽  
pp. 678-689 ◽  
Author(s):  
Andrey E. Kovtanyuk ◽  
Alexander Yu. Chebotarev ◽  
Nikolai D. Botkin ◽  
Karl-Heinz Hoffmann
2016 ◽  
Vol 112 ◽  
pp. 12-20 ◽  
Author(s):  
Gabriel Năstase ◽  
Alexandru Şerban ◽  
George Dragomir ◽  
Sorin Bolocan ◽  
Alin Ionuţ Brezeanu

2016 ◽  
Vol 685 ◽  
pp. 90-93
Author(s):  
Alexander Yu. Chebotarev ◽  
Andrey E. Kovtanyuk

A boundary multiplicative control problem for a nonlinear steady-state heat transfer model accounting for heat radiation effects is considered. The aim of control consists in obtaining a prescribed temperature or radiative intensity distributions in a part of the model domain by controlling the boundary reflectivity. The solvability of this control problem is proved, and optimality conditions are derived.


Author(s):  
Cuauhtemoc Aviles-Ramos ◽  
Clifford Rudy

The steady-state heat transfer in a calorimeter measurement chamber is modeled assuming that the sample is a generic nuclear material container filled with plutonium oxide powder. The measurement chamber is composed of nine solid materials and air. The heat transfer model includes natural convection in the plutonium oxide porous matrix, natural convection in the air space on top of the plutonium oxide powder, and heat conduction in the different solid parts of the measurement chamber and the heat flux sensor. The problem is treated as a conjugate heat transfer problem defined by a system of 24 partial differential equations coupled at the interfaces of the materials that form the measurement chamber. A computational fluid dynamics software is used to generate the grid and obtain the solution. The simulation results provide estimates of operational temperatures and heat losses that are of interest in the design of calorimeters.


Author(s):  
B. H. Smaill ◽  
J. Douglas ◽  
P. J. Hunter ◽  
I. Anderson

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