Nonlinear inverse heat conduction problem of surface temperature estimation by calibration integral equation method. (4th May 2018)

• Record Type: Journal Article
• Authors: Chen, Hongchu; Frankel, Jay I.; Keyhani, Majid
• Is Part Of: Numerical heat transfer. Volume 73:Number 5(2018)
• Page Start: 263
• Page End: 291
• Publication Date: 2018-05-04
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2018.1464316
• Languages: English
• ISSNs: 1040-7790

Abstract

Abstract: A calibration integral equation method is proposed for estimating the surface temperature in the context of a nonlinear inverse heat conduction problem. The temperature-dependent thermophysical properties and probe positioning are implicitly accounted in the integral equation formulation through calibration tests. A first kind Chebyshev expansion is applied to represent the temperature-dependent property transform function. The undetermined expansion coefficients associated with the Chebyshev expansion are then estimated through two calibration tests. Regularization of the ill-posed problem is achieved by the future-time method. The optimal regularization parameter is estimated using a phase plane and cross-correlation phase plane analyses. Numerical simulation for stainless steel yields highly favorable surface temperature prediction.