265
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Thermal imaging of time-varying longitudinal defects in the internal coating of a tube

&
Pages 439-459 | Received 07 Dec 2017, Accepted 14 Apr 2018, Published online: 07 May 2018

References

  • Inglese G , Olmi R . Detecting longitudinal damages in the internal coating of a tube. Int J Heat Mass Transfer. 2018;116:1225–1236.
  • Chantasiriwan S . Inverse heat conduction problem of determining time-dependent heat transfer coefficient Int J. Heat Mass Transf. 2000;42:4275–4285.
  • Onyango TTM , Ingham DB , Lesnic D , et al . Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements. Math Comput Simul. 2009;79:1577–1584.
  • Su J , Hewitt GF . Inverse heat conductioon problem of estimating time-varying heat transfer coefficient. Numer Heat Transfer Part A. 2004;45:777–789.
  • Kolodner II . Free boundary problem for the heat equation with applications to problems of change of phase. I general method of solution. Commun Pure Appl Math. 1956;IX:1–31.
  • Shahgholian H , Chen G-Q , Luis Vazquez J , editors. Free boundary problems and related topics. Philos Trans R Soc A. 2015 sep;373.
  • Knobloch E , Krechetnikov R . Problems on time-varying domains: formulation, dynamics and challenges. Acta Appl Math. 2015;137:123–157.
  • Ng J , Aksikas I , Dubljevic S . Control of parabolic PDEs with time- varying spatial domain: Czochralski crystal growth process. Int J Control. 2013;86(9):1467–1478.
  • Vuik C . Some historical notes about the Stefan problem. Nieuw Arch Wiskd. 1993;11:157–167.
  • Chapiro G , Mazorche SR , Norman JH , et al. Solution of nonlinear parabolic problems using nonlinear complementarity algorithm (FDA-NCP). Mecanica Comput. 2010;XXIX:2141–2153.
  • Van Bockstal K , Slodicka M . Determination of a time-dependent diffusivity in a nonlinear parabolic problem; 2014;23:307–330.
  • Gulkac V . A numerical solution of the two-dimensional fusion problem with convective boundary conditions. Int J Comput Methods Eng Sci Mech. 2010;11(1):20–26.
  • Novak IL , Slepchenko BM . A conservative algorithm for parabolic prolems in domains with moving boundaries. J Comput Phys. 2014;270:203–213.
  • Hao DN , Thanh PX , Lesnic D . Determination of the heat transfer coefficients in transient heat conduction. Inverse Probl. 2013;29:1–21.
  • Abdelhamid T , Elsheikh AH , Elazab A , et al. Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems; 2017. DOI:10.1080/17415977.2017.1391243
  • Burghold EM , Frekers Y , Kneer R . Determination of time-dependent thermal contact conductance through IR-thermography. Int J Therm Sci. 2015;98:148–155.
  • Westbrook DR . Applications of asymptotic integration to potential problems for shells. SIAM J Appl Math. 1966;14(1):131–146.
  • Kaup PG , Santosa F , Vogelius M . Method for imaging corrosion damage in thin plates from electrostatic data. Inverse Probl. 1996;12:279–293.
  • Cleveland WS . Robust locally weighted regression and smoothing scatter-plots. J Amer Statist Assoc. 1979;74:829–836.
  • Bergman TL , Lavine AS , Incropera FP , et al. Fundamentals of heat and mass transfer. New York (NY): Wiley; 2011.
  • Winterton RHS . Where did the Dittus and Boelter equation come from? Int J Heat Mass Transfer. 1998;41:809–810.
  • Coulson JM , Richardson JF . Chemical engineering. Vol. 1. Oxford: Butterworth-Heinemann; 1999.
  • COMSOL Multiphysics® v. 5.2 . COMSOL AB, Stockholm, Sweden. Available from: http://www.comsol.com
  • Murio DA . The mollification method and the numerical solution of ill-posed problems. New York (NY): Wiley; 1993.
  • Bassey E , Whalley J , Sallis P . An evaluation of smoothing filters for gas sensor signal cleaning INFOCOMP. In: 2014: the Fourth International Conference on Advanced Communications and Computation; 2014. Paris (France).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.