Implementation of Practical Algorithms in the Inverse Problem with Unknown Boundary Conditions

References

• J. Damirchi, A. R. Yazdanian, T. R. Shamami and M. Hasanpour, “Numerical investigation of an inverse problem based on regularization method,” Math Sci, vol. 13, no. 3, pp. 193–199, Jul. 2019. DOI: 10.1007/s40096-019-0288-2.
   Google Scholar
• B. A. Tourn, J. C. Hostos and V. D. Fachinotti, “Implementation of total variation regularization-based approaches in the solution of linear inverse heat conduction problems concerning the estimation of surface heat fluxes,” Int. Commun. Heat Mass Transfer, vol. 125, pp. 105330, Jun. 2021. DOI: 10.1016/j.icheatmasstransfer.2021.105330.
   Web of Science ®Google Scholar
• J. Zhou, Y. Zhang, J. K. Chen and Z. C. Feng, “Inverse estimation of surface heating condition in a finite slab with temperature-dependent thermophysical properties,” Heat Transfer Engineering, vol. 32, no. 10, pp. 861–875, 2011. DOI: 10.1080/01457632.2011.548592.
   Web of Science ®Google Scholar
• J. V. Beck, B. Blackwell and C. R. Clair, Jr., Inverse Heat Conduction. Hoboken, New Jersey: Wiley-Interscience, 1985, pp. 134–145.
   Google Scholar
• H.-T. Chen and X.-Y. Wu, “Estimation of surface absorptivity in laser surface heating process with experimental data,” J. Phys. D: appl. Phys, vol. 39, no. 6, pp. 1141–1148, Mar. 2006. DOI: 10.1088/0022-3727/39/6/020.
   Web of Science ®Google Scholar
• H. R. B. Orlande, “Inverse heat transfer problems,” Heat Transfer Engineering, vol. 32, no. 9, pp. 715–717, 2011. DOI: 10.1080/01457632.2011.525128.
   Web of Science ®Google Scholar
• M. N. Özisik and H. R. B. Orlande, Inverse Heat Transfer. New York: Taylor & Francis, 2000, pp. 1–16.
   Google Scholar
• A. G. Ramm, Inverse Problems: Mathematical and Analytical Techniques with Applications to Engineering. New York: Springer, 2005.
   Google Scholar
• P. Dura, “Numerical and experimental verification of two methods for solving an inverse heat conduction problem,” Int. J. Heat Mass Transfer, vol. 84, pp. 1101–1112, May 2015. DOI: 10.1016/j.ijheatmasstransfer.2015.01.082.
   Web of Science ®Google Scholar
• A. P. Fernandes, M. B. Santos and G. Guimaraes, “An analytical transfer function method to solve inverse heat conduction problems,” APPl. Math. Modeling, vol. 39, no. 22, pp. 6897–6914, Nov 2015. DOI: 10.1016/j.apm.2015.02.012.
   Web of Science ®Google Scholar
• M. Mohammadiun, H. Molavi, H. R. T. Bahrami and H. Mohammadiun, “Application of sequential function specification method in heat flux monitoring of receding solid surfaces,” Heat Transfer Eng., vol. 35, no. 10, pp. 933–941, 2014. DOI: 10.1080/01457632.2014.859870.
   Web of Science ®Google Scholar
• M. Bazargani and F. Kowsary, “Methodology for estimation of local convective heat transfer coefficient for vapor condensation,” Heat Transfer Engineering, vol. 36, no. 9, pp. 820–828, 2015. DOI: 10.1080/01457632.2015.963420.
   Web of Science ®Google Scholar
• J.-T. Wang, C.-I. Weng, J.-G. Chang and C.-C. Huang, “The influence of temperature and surface conditions on surface absorptivity in laser surface treatment,” J. APPl. Physics, vol. 87, no. 7, pp. 3245–3253, 2000. DOI: 10.1063/1.372331.
   Web of Science ®Google Scholar
• Y. M. Qiao and S. Chandra, “Spray cooling enhancements by addition of a surfactant,” ASME J. Heat Transfer, vol. 120, no. 1, pp. 92–98, Feb. 1998. DOI: 10.1115/1.2830070.
   Web of Science ®Google Scholar
• Q. Cui, S. Chandra and S. McCahan, “The effect of dissolving salts in water sprays used for quenching a hot surface: part 2 – spray cooling,” ASME J. Heat Transfer, vol. 125, no. 2, pp. 333–338, Apr. 2003. DOI: 10.1115/1.1532011.
   Web of Science ®Google Scholar
• H.-T. Chen and H.-C. Lee, “Estimation of spray cooling characteristics on a hot surface using the hybrid inverse scheme,” Int. J. Heat Mass Transfer, vol. 50, no. 13-14, pp. 2503–2513, Jul. 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.12.021.
   Web of Science ®Google Scholar
• S.-Y. Lee and T.-W. Huang, “A method for inverse analysis of laser surface heating with experimental data,” Int. J. Heat Mass Transfer, vol. 72, pp. 299–307, May 2014. DOI: 10.1016/j.ijheatmasstransfer.2013.12.067.
   Web of Science ®Google Scholar
• S.-Y. Lee and T.-W. Huang, “Inverse analysis of spray cooling on a hot surface with experimental data,” Int. J. Thermal Sci., vol. 100, pp. 145–154, Feb. 2016. DOI: 10.1016/j.ijthermalsci.2015.09.020.
   Web of Science ®Google Scholar
• S.-Y. Lee and Q.-Z. Yan, “Inverse analysis of heat conduction problems with relatively long heat treatment,” Int. J. Heat Mass Transfer, vol. 105, pp. 401–410, Feb. 2017. DOI: 10.1016/j.ijheatmasstransfer.2016.10.003.
   Web of Science ®Google Scholar
• T.-F. Chen, S. Lin and J. C. Y. Wang, “Determination of the boundary temperature errors by variation of two temperature sensor locations in a one-dimensional inverse heat conduction problem,” Int. J. Numerical Methods Heat Fluid Flow, vol. 7, no. 7, pp. 635–646, 1997. DOI: 10.1108/09615539710185514.
   Web of Science ®Google Scholar
• H. Chen, J. I. Frankel and M. Keyhani, “Two-probe calibration integral equation method for nonlinear inverse heat conduction problem of surface heat flux estimation,” Int. J. Heat Mass Transfer, vol. 121, pp. 246–264, Jun. 2018. DOI: 10.1016/j.ijheatmasstransfer.2017.12.072.
   Web of Science ®Google Scholar
• L. Zhuo, D. Lesnic, M. I. Ismailov, I. Tekin and S. Meng, “Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem,” Int. J. Computer Mathematics, vol. 96, no. 10, pp. 2079–2099, 2019. DOI: 10.1080/00207160.2018.1556790.
   Web of Science ®Google Scholar
• T. Helmig, F. Al-Sibai and R. Kneer, “Estimating sensor number and spacing for inverse calculation of thermal boundary conditions using the conjugate gradient method,” Int. J. Heat Mass Transfer, vol. 153, pp. 119638, Jun. 2020. DOI: 10.1016/j.ijheatmasstransfer.2020.119638.
   Web of Science ®Google Scholar
• O. Uyanna, H. Najafi and B. Rajendra, “An inverse method for real-time estimation of aerothermal heating for thermal protection systems of space vehicles,” Int. J. Heat Mass Transfer, vol. 177, pp. 121482, Oct. 2021. DOI: 10.1016/j.ijheatmasstransfer.2021.121482.0017-9310.
   Web of Science ®Google Scholar