RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 TVT: Year: Volume: Issue: Page: Find

 Personal entry: Login: Password: Save password Enter Forgotten password? Register

 TVT, 2015, Volume 53, Issue 1, Pages 72–77 (Mi tvt3914)

This article is cited in 12 scientific papers (total in 12 papers)

Heat and Mass Transfer and Physical Gasdynamics

The inverse boundary thermal conductivity problem of recovery of heat fluxes to the boundries of anisotropic bodies

S. A. Kolesnik, V. F. Formalev, E. L. Kuznetsova

Moscow Aviation Institute (State University of Aerospace Technologies)

Abstract: A method for solution of the inverse boundary thermal conductivity problem of recovery of the heat fluxes to the structural components of aircraft fabricated of anisotropic materials is proposed. The method is based on a previously obtained analytical solution of a $2D$ nonstationary thermal conductivity problem in an anisotropic fin under boundary heat transfer. The method consists in parametric identification and finite-element approximation of the dependence of the heat flux on the spatial variable. A regularizing algorithm is developed that permits identification of heat fluxes with large, up to $10%$, errors in the experimental temperature values. The results obtained in numerical experiments are analyzed.

DOI: https://doi.org/10.7868/S0040364415010111

Full text: PDF file (279 kB)
References: PDF file   HTML file

English version:
High Temperature, 2015, 53:1, 68–72

Bibliographic databases:

UDC: 536.21
Received: 18.12.2013

Citation: S. A. Kolesnik, V. F. Formalev, E. L. Kuznetsova, “The inverse boundary thermal conductivity problem of recovery of heat fluxes to the boundries of anisotropic bodies”, TVT, 53:1 (2015), 72–77; High Temperature, 53:1 (2015), 68–72

Citation in format AMSBIB
\Bibitem{KolForKuz15} \by S.~A.~Kolesnik, V.~F.~Formalev, E.~L.~Kuznetsova \paper The inverse boundary thermal conductivity problem of recovery of heat fluxes to the boundries of anisotropic bodies \jour TVT \yr 2015 \vol 53 \issue 1 \pages 72--77 \mathnet{http://mi.mathnet.ru/tvt3914} \crossref{https://doi.org/10.7868/S0040364415010111} \elib{http://elibrary.ru/item.asp?id=22841002} \transl \jour High Temperature \yr 2015 \vol 53 \issue 1 \pages 68--72 \crossref{https://doi.org/10.1134/S0018151X15010113} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000350357800011} \elib{http://elibrary.ru/item.asp?id=24010809} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84923830469} 

Linking options:
• http://mi.mathnet.ru/eng/tvt3914
• http://mi.mathnet.ru/eng/tvt/v53/i1/p72

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “Nonstationary heat transfer in anisotropic half-space under the conditions of heat exchange with the environment having a specified temperature”, High Temperature, 54:6 (2016), 824–830
2. V. F. Formalev, S. A. Kolesnik, “On inverse boundary heat-conduction problems for recovery of heat fluxes to anisotropic bodies with nonlinear heat-transfer characteristics”, High Temperature, 55:4 (2017), 549–554
3. V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “Time-dependent heat transfer in a plate with anisotropy of general form under the action of pulsed heat sources”, High Temperature, 55:5 (2017), 761–766
4. A. V. Kostanovskii, M. E. Kostanovskaya, “The role of heat flux in the nonsteady thermal problem of molybdenum sphere cooling in an electrostatic levitation experiment”, High Temperature, 55:6 (2017), 866–869
5. V. F. Formalev, S. A. Kolesnik, “On inverse coefficient heat-conduction problems on reconstruction of nonlinear components of the thermal-conductivity tensor of anisotropic bodies”, J. Eng. Phys. Thermophys., 90:6 (2017), 1302–1309
6. E. Ya. Rapoport, A. N. Diligenskaya, “Modalnaya identifikatsiya granichnogo vozdeistviya v dvumernoi obratnoi zadache teploprovodnosti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 22:2 (2018), 380–394
7. V. F. Formalev, S. A. Kolesnik, “Temperature-dependent anisotropic bodies thermal conductivity tensor components identification method”, Int. J. Heat Mass Transf., 123 (2018), 994–998
8. V. V. Korenevsky, E. A. Mordik, M. M. Tamov, “Reduction of the actual modulus of elasticity to the design temperature”, Period. Tche Quim., 15:1 (2018), 98–102
9. V. A. Ripetskiy, I. T. Mirolyubova, S. A. Freylekhman, “Analysis of factors that determine the possibility for automation of smoothing of product electronic model, obtained through topological optimization for the purpose of its use in the technological preparation of additive manufacturing”, Period. Tche Quim., 15:1 (2018), 405–413
10. V. S. Zarubin, G. N. Kuvyrkin, I. Y. Savelyeva, “Two-sided thermal resistance estimates for heat transfer through an anisotropic solid of complex shape”, Int. J. Heat Mass Transf., 116 (2018), 833–839
11. A. G. Vikulov, A. V. Nenarokomov, “Refined solution of the variational problem of identification of lumped parameter mathematical models of heat transfer”, High Temperature, 57:2 (2019), 211–221
12. A. Diligenskaya, “Minimax optimization method in the two-dimensional boundary-value inverse heat conduction problem”, High Temperature, 57:2 (2019), 203–210
•  Number of views: This page: 199 Full text: 46 References: 50 First page: 2

 Contact us: math-net2020_04 [at] mi-ras ru Terms of Use Registration Logotypes © Steklov Mathematical Institute RAS, 2020