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Original Articles

Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem

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Pages 65-81 | Received 30 Sep 2008, Accepted 13 Dec 2008, Published online: 23 Sep 2009

References

  • Hippensteele, SA, Russel, LM, and Stepka, FS, 1983. Evaluation of a method for heat transfer measurement and visualisation using a composite of a heater and liquid crystals, J. Heat Transfer 105 (1983), pp. 184–189.
  • Bizzak, DJ, and Chyu, M-K, 1995. Use of laser-induced fluorescence thermal imaging system for local jet impingement heat transfer measurements, Int. J. Heat Mass Transfer 38 (1995), pp. 167–274.
  • Maillet, D, Degiovanni, A, and Pasquetti, R, 1991. Inverse heat conduction applied to the measurements of heat transfer coefficient on a cylinder: Comparison between an analytical and a boundary element technique, J. Heat Transfer 113 (1991), pp. 549–557.
  • Hinestroza, D, and Murio, DA, 1993. Recovery of the transient heat transfer coefficient in the nonlinear boundary value problem for the heat equation, Comput. Math. Appl. 25 (1993), pp. 101–111.
  • Orlande, HRB, Colaco, MJ, and Malta, AA, 1997. Estimation of the heat transfer coefficient in the spray cooling of continuously cast slabs, in National Heat Transfer Conference HTD-340. Vol. 2. ASME; 1997. pp. 109–116.
  • Chantasiriwan, S, 1999. Inverse heat conduction problem of determining time-dependent heat transfer coefficients, Int. J. Heat Mass Transfer 42 (1999), pp. 4275–4285.
  • Louahlia-Gualous, H, Panday, PK, and Artioukhine, EA, 2003. Inverse determination of the local heat transfer coefficients for nucleate boiling on a horizontal cylinder, J. Heat Transfer 125 (2003), pp. 1087–1095.
  • Su, J, and Hewitt, GF, 2004. Inverse heat conduction problem of estimating time-varying heat transfer coefficient, Numer. Heat Transfer, Part A 45 (2004), pp. 777–789.
  • Osman, AM, and Beck, JV, 1990. Investigation of transient heat transfer coefficients in quenching experiments, J. Heat Transfer 112 (1990), pp. 843–848.
  • Divo, E, Kassab, AJ, Kapat, JS, and Chyu, M-K, 2005. Retrieval of multidimensional heat transfer coefficient distributions using an inverse BEM-based regularized algorithm: Numerical and experimental results, Eng. Anal. Boundary Elements 29 (2005), pp. 150–160.
  • Chen, H-T, and Wu, X-Y, 2008. Investigation of heat transfer coefficient in two-dimensional transient inverse heat conduction problems using the hybrid inverse scheme, Int. J. Numer. Meth. Eng. 73 (2008), pp. 107–122.
  • Trombe, A, Suliman, A, and Le Maoult, G, 2003. Use of an inverse method to determine natural convection heat transfer coefficients in unsteady state, J. Heat Transfer 125 (2003), pp. 1017–1026.
  • Kaiser, T, and Troltzsch, F, 1987. An inverse problem arising in the steel cooling process, Wissensch. Zeit. TU Karl-Marx-Stadt 29 (1987), pp. 212–218.
  • Rosch, A, and Troltzsch, F, 1992. An optimal control problem arising from the identification of nonlinear heat transfer laws, Archives Control. Sci. 1 (1992), pp. 183–195.
  • Maniruzzaman, M, and Sisson, RD, 2004. Heat transfer coefficients for quenching process simulation, J. Phys. IV France 120 (2004), pp. 521–528.
  • Balageas, DL, Deom, AA, and Boscher, DM, 1987. Characterization of non-destructive testing of carbon-epoxy composites by a pulsed photothermal method, Mater. Eval. 45 (1987), pp. 461–465.
  • Ames, KA, and Straughan, B, 1997. Non-standard and Improperly Posed Problems. New York: Academic Press; 1997.
  • Slodička, M, and Van Keer, R, 2000. "Recovery of the convective transfer coefficient in parabolic problems from a nonstandard boundary condition". In: Mastorakis, NE, ed. Recent Advances in Applied and Theoretical Mathematics. Greece: World Scientific and Engineering Academy and Society; 2000. pp. 209–213.
  • Slodička, M, and Van Keer, R, 2002. Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements, Inverse Prob. 18 (2002), pp. 139–152.
  • Onyango, TTM, Ingham, DB, Lesnic, D, and Slodička, M, 2009. Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements, Math. Comput. Simulation 79 (2009), pp. 1577–1584.
  • Friedman, A, 1964. Partial Differential Equations of Parabolic Type. Englewood Cliffs, N.J: Prentice Hall; 1964.
  • Kačur, J, 1985. Method of Rothe in Evolution Equations, Teubner–Texte zur Mathematik. Vol. 80. Leipzig: Teubner; 1985.
  • Slodička, M, and Lesnic, D, 2009. Determination of the Robin coefficient in a nonlinear boundary condition for a steady state problem, Math. Methods Appl. Sci. 32 (2009), pp. 1311–1324.
  • Nečas, J, 1967. Les Méthodes Directes en Théorie des Équations Elliptiques. Prague: Academia; 1967.
  • Wrobel, LC, 2002. Boundary Element Method: Applications in Thermofluids and Acoustics. Vol. 1. Chichester: J. Wiley; 2002.
  • Lesnic, D, Elliott, L, and Ingham, DB, 1998. The boundary element solution of the Laplace and biharmonic equations subjected to noisy boundary data, Int. J. Numer. Meth. Eng. 47 (1998), pp. 479–492.
  • Bialecki, R, Divo, E, and Kassab, AJ, 2006. Reconstruction of time-dependent boundary heat flux by a BEM based inverse algorithm, Eng. Anal. Boundary Elements 30 (2006), pp. 767–773.

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