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@article{MZM_2023_113_1_a7,
author = {S. G. Pyatkov and V. A. Baranchuk},
title = {Determination of the {Heat} {Transfer} {Coefficient} in {Mathematical} {Models} of {Heat} and {Mass} {Transfer}},
journal = {Matemati\v{c}eskie zametki},
pages = {90--108},
publisher = {mathdoc},
volume = {113},
number = {1},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a7/}
}
TY - JOUR AU - S. G. Pyatkov AU - V. A. Baranchuk TI - Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer JO - Matematičeskie zametki PY - 2023 SP - 90 EP - 108 VL - 113 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a7/ LA - ru ID - MZM_2023_113_1_a7 ER -
%0 Journal Article %A S. G. Pyatkov %A V. A. Baranchuk %T Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer %J Matematičeskie zametki %D 2023 %P 90-108 %V 113 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a7/ %G ru %F MZM_2023_113_1_a7
S. G. Pyatkov; V. A. Baranchuk. Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer. Matematičeskie zametki, Tome 113 (2023) no. 1, pp. 90-108. http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a7/
[1] O. M. Alifanov, Obratnye zadachi v issledovanii slozhnogo teploobmena, Yanus-K, M., 2009
[2] V. N. Tkachenko, Matematicheskoe modelirovanie, identifikatsiya i upravlenie tekhnologicheskimi protsessami teplovoi obrabotki materialov, Naukova dumka, Kiev, 2008 | MR
[3] M. V. Glagolev, A. F. Sabrekov, “Determination of gas exchange on the border between ecosystem and atmosphere: inverse modeling”, Mat. Biolog. Bioinform., 7:11 (2012), 81–101 | DOI
[4] A. I. Borodulin, B D. Desyatkov, G. A. Makhov, S. R. Sarmanaev, “Opredelenie emissii bolotnogo metana po izmerennym znacheniyam ego kontsentratsii v prizemnom sloe atmosfery”, Meteorologiya i gidrologiya, 1997, no. 1, 66–74
[5] L. V. Dantas, H. R. B. Orlande, R. M. Cotta, “An inverse problem of parameter estimation for heat and mass transfer in capillary porous media”, Int. J. Heat and Mass Transfer, 46:9 (2003), 1587–1599 | DOI
[6] J. Jr. Lugon, A. J. S. Neto, “An inverse problem of parameter estimation in simultaneous heat and mass transfer in a onedimensional porous medium”, Proceedings of COBEM 2003. 17-th International Congress on Mechanical Engineering, ABCM, San-Paolo, 2003; https://abcm.org.br/anais/cobem/2003/html/pdf/COB03-1158.pdf
[7] K. Cao, D. Lesnic, M. J. Colaco, “Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements”, Inverse Probl. Sci. Eng., 27:10 (2018), 1372–1398 | DOI | MR
[8] L. A. B. Varan, H. R. B. Orlande, F. L. V. Vianna, “Estimation of the convective heat transfer coefficient in pipelines with the Markov chain Monte-Carlo method”, Blucher Mech. Eng. Proc., 1:1 (2014), 1214–1225
[9] A. M. Osman, J. V. Beck, “Nonlinear Inverse Problem for the Estimation of Time-and-Space-Dependent Heat-Transfer Coefficients”, J. Thermophysics, 3:2 (2003), 146–152
[10] M. J. Colac, H. R. B. Orlande, “Inverse natural convection problem of simultaneous estimation of two boundary heat fluxes in irregular cavities”, Int. J. Heat and Mass Transfer, 47:6 (2004), 1201–1215 | DOI
[11] F. Avallone, C. S. Greco, D. Ekelschot, “2D Inverse Heat Transfer Measurements by IR Thermography in Hypersonic Flows”, Proceedings of the 11-th International Conference on Quantitative InfraRed Thermography, Naples, 2012, 1–13
[12] S. D. Farahani, F. Kowsary, M. Ashjaee, “Experimental estimation heat flux and heat transfer coefficient by using inverse methods”, Sci. Iranica B, 3:4 (2016), 1777–1786 | DOI
[13] J. Su, G. F. Hewitt, “Inverse heat conduction problem of estimating time-varying heat transfer coefficient”, Numer. Heat Transfer A, 45 (2004), 777–789 | DOI
[14] D. N. Hao, R. X. Thanh, D. Lesnic, “Determination of the heat transfer coefficients in transient heat conduction”, Inverse Problems, 29:9 (2013), 095020 | DOI | MR
[15] J. D. Lee, I. Tanabe, K. Takada, “Identification of the heat transfer coefficient on machine tool surface by inverse analysis”, JSME Int. J. Ser. C, 42:4 (1999), 1056–1060 | DOI
[16] T. M. Onyango, D. B. Ingham, D. Lesnic, “Restoring boundary conditions in heat conduction”, J. Eng. Math., 62:1 (2008), 85–101 | DOI | MR
[17] S. Wang, L. Zhang, X. Sun, H. Jial, “Solution to two-dimensional steady inverse heat transfer problems with interior heat source based on the conjugate gradient method”, Math. Probl. Eng., 2017 (2017), 2861342 | MR
[18] J. Sladek, V. Sladek, P. H. Wen, Y. C. Hon, “The Inverse problem of determining heat transfer coefficients by the meshless local Petrov–Galerkin method”, CMES Comput. Model. Eng. Sci., 48:2 (2009), 191–218 | MR
[19] B. Jin, X. Lu, “Numerical identification of a Robin coefficient in parabolic problems”, Math. Comp., 81:279 (2012), 1369–1398 | DOI | MR
[20] W. B. Da Silva, J. C. S. Dutra, C. E. P. Kopperschimidt, D. Lesnic, R. G. Aykroyd, “Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem”, Appl. Math. Model., 89:1 (2012), 654–668 | MR
[21] D. N. Hao, B. V. Huong, P. X. Thanh, D. Lesnic, “Identification of nonlinear heat transfer laws from boundary observations”, Appl. Anal., 94:9 (2015), 1784–1799 | DOI | MR
[22] M. Slodicka, R. Van Keer, “Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements”, Inverse Problems, 18:1 (2002), 139–152 | DOI | MR
[23] A. Rösch, “Stability estimates for the identification of nonlinear heat transfer laws”, Inverse Problems, 12:5 (1996), 743–756 | DOI | MR
[24] D. Knupp, L. A S. Abreu, “Explicit boundary heat flux reconstruction employing temperature measurements regularized via truncated eigenfunction expansions”, Int. Commun. in Heat and Mass Transfer, 78 (2016), 241–252 | DOI
[25] S. A. Kolesnik, V. F. Formalev, E. L. Kuznetsova, “O granichnoi obratnoi zadache teploprovodnosti po vosstanovleniyu teplovykh potokov k granitsam anizotropnykh tel”, TVT, 53:1 (2015), 72–77 | DOI
[26] A. S. A. Alghamdi, “Inverse Estimation of Boundary Heat Flux for Heat Conduction Model”, JKAU. Eng. Sci., 21:1 (2010), 73–95 | DOI
[27] A. B. Kostin, A. I. Prilepko, “O nekotorykh zadachakh vosstanovleniya granichnogo usloviya dlya parabolicheskogo uravneniya. II”, Differents. uravneniya, 32:11 (1996), 1519–1528 | MR
[28] A. B. Kostin, A. I. Prilepko, “O nekotorykh zadachakh vosstanovleniya granichnogo usloviya dlya parabolicheskogo uravneniya. I”, Differents. uravneniya, 32:1 (1996), 107–116 | MR
[29] R. Denk, M. Huber, J. Prüss, “Optimal $L_p-L_q$-estimates for parabolic boundary value problems with inhomogeneous data”, Math. Z., 257 (2007), 193–224 | DOI | MR
[30] Kh. Tribel, Teoriya interpolyatsii, funktsionalnye prostranstva, differentsialnye operatory, Mir, M., 1980 | MR | Zbl
[31] H. Amann, “Compact embeddings of vector-valued Sobolev and Besov spaces”, Glas. Mat. Ser. III, 35:1 (2000), 161–177 | MR
[32] O. A. Ladyzhenskaya, N. N. Uraltseva, V. A. Solonnikov, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967 | MR
[33] V. A. Belonogov, S. G. Pyatkov, “O razreshimosti zadach sopryazheniya s usloviyami tipa neidealnogo kontakta”, Izv. vuzov. Matem., 2020, no. 7, 18–32 | DOI
[34] V. P. Mikhailov, Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1976 | MR | Zbl
[35] M. A. Verzhbitskii, S. G. Pyatkov, “O nekotorykh obratnykh zadachakh ob opredelenii granichnykh rezhimov”, Matem. zametki SVFU, 23:2 (2016), 3–18
[36] S. M. Nikolskii, Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR
[37] P. Grisvard, “Equations differentielles abstraites”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 2:3 (1969), 311–395 | MR