Boundary Design of Reflection Properties of a Steady-State Complex Heat Transfer Model

Alexander Yu. Chebotarev; Andrey E. Kovtanyuk

doi:10.4028/www.scientific.net/KEM.685.90

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HomeKey Engineering MaterialsKey Engineering Materials Vol. 685Boundary Design of Reflection Properties of a...

Boundary Design of Reflection Properties of a Steady-State Complex Heat Transfer Model

Abstract:

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.

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High Technology: Research and Applications 2015

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Key Engineering Materials (Volume 685)

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90-93

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.685.90

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Online since:

February 2016

Authors:

Alexander Yu. Chebotarev, Andrey E. Kovtanyuk

Keywords:

Conductive Heat Transfer, Diffusion Approximation, Optimal Control, Radiative Heat Transfer

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References

[1] R. Pinnau, Analysis of optimal boundary control for radiative heat transfer modeled by the SPN system, Comm. Math. Sci. 5(4) (2007) 951–969.

DOI: 10.4310/cms.2007.v5.n4.a11

Google Scholar

[2] M. Frank, A. Klar, R. Pinnau, Optimal control of glass cooling using simplified PN theory, Trans. Theory Stat. Phys. 39(2-4) (2010) 282–311.

DOI: 10.1080/00411450.2010.533740

Google Scholar

[3] D. Clever, J. Lang, Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient, Optimal Control Appl. and Meth. 33(2) (2012) 157–175.

DOI: 10.1002/oca.984

Google Scholar

[4] O. Tse, R. Pinnau, Optimal control of a simplified natural convection-radiation model, Comm. Math. Sci. 11(3) (2013) 679–707.

DOI: 10.4310/cms.2013.v11.n3.a2

Google Scholar

[5] A.E. Kovtanyuk, A. Yu. Chebotarev, N.D. Botkin, K. -H. Hoffmann, Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer, J. of Math. Analysis and Applications 412 (2014) 520–528.

DOI: 10.1016/j.jmaa.2013.11.003

Google Scholar

[6] M.F. Modest, Radiative Heat Transfer, Academic Press, (2003).

Google Scholar

[7] A.E. Kovtanyuk, A. Yu. Chebotarev, N.D. Botkin, K. -H. Hoffmann, The unique solvability of a complex 3D heat transfer problem, J. Math. Anal. Appl. 409 (2014) 808–815.

DOI: 10.1016/j.jmaa.2013.07.054

Google Scholar

[8] A.E. Kovtanyuk, A. Yu. Chebotarev, Steady-state problem of complex heat transfer, Comput. Math. and Math. Phys. 54 (4) (2014) 719–726.

DOI: 10.1134/s0965542514040095

Google Scholar

[9] A.E. Kovtanyuk, A. Yu. Chebotarev, N.D. Botkin, K. -H. Hoffmann, Unique solvability of a steady-state complex heat transfer model, Commun. Nonlinear Sci. Numer. Simulat. 20 (2015) 776–784.

DOI: 10.1016/j.cnsns.2014.06.040

Google Scholar