Thermal cloak with adaptive heat source to proactively manipulate temperature field in heat conduction process

2018 ◽  
Vol 127 ◽  
pp. 1212-1222 ◽  
Author(s):  
J. Guo ◽  
Z.G. Qu
Keyword(s):  
Temperature Field ◽  
Heat Conduction ◽  
Heat Source ◽  
Conduction Process ◽  
Heat Conduction Process

scholarly journals Simultaneous identification of initial field and spatial heat source for heat conduction process by optimizations

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Bingxian Wang ◽  
Bin Yang ◽  
Mei Xu
Keyword(s):  
Inverse Problem ◽  
Heat Conduction ◽  
Heat Source ◽  
Measurement Data ◽  
Iteration Algorithm ◽  
Conditional Stability ◽  
Initial Field ◽  
Conduction Process ◽  
Simultaneous Identification ◽  
Heat Conduction Process

Abstract Consider the simultaneous identification of the initial field and spatial heat source for heat conduction process from extra measurements with the two additional measurement data at different times. The uniqueness and conditional stability for this inverse problem are established by using the properties of a parabolic equation and the representation of solution after reforming the equation. By combining the least squares method with the regularization technique, the inverse problem is transformed into an optimal control problem. Based on the existence and uniqueness of the minimizer of the cost functional, an alternative iteration process is built to solve this optimizing problem by the variational adjoint method. The negative gradient direction is selected as the first search direction. For further iterations, the alternative iteration algorithm is used for the initial field and heat source identification. The efficiency of the proposed scheme is tested by the numerical simulation experiments.

Results of mathematical modeling of a heat-conduction process

1980 ◽  
Vol 39 (1) ◽  
pp. 717-721
Author(s):  
A. N. Tikhonov ◽  
N. I. Kulik ◽  
I. N. Shklyarov ◽  
V. B. Glasko
Keyword(s):  
Mathematical Modeling ◽  
Heat Conduction ◽  
Conduction Process ◽  
Heat Conduction Process

The Mathematical Description for the Heat Conduction Process on Planesurfaces of a Solar Collector’S Absorber

2008 ◽  
pp. 721-725
Author(s):  
Peteris Shipkovs ◽  
Martinsh Vanags ◽  
Voldemars Barkans ◽  
Abrams Temkins ◽  
Kristina Lebedeva ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Mathematical Description ◽  
Conduction Process ◽  
Heat Conduction Process
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