Nonlinear inverse heat conduction: Digitally filtered space marching with phase-plane and cross-correlation analyses. (3rd August 2017)

• Record Type: Journal Article
• Authors: Chen, Hongchu; Frankel, Jay I.; Keyhani, Majid
• Is Part Of: Numerical heat transfer. Volume 72:Number 2(2017)
• Page Start: 109
• Page End: 129
• Publication Date: 2017-08-03
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2017.1347004
• Languages: English
• ISSNs: 1040-7790

Abstract

ABSTRACT: This paper utilizes concepts extracted from phase-plane and cross-correlation analyses for estimating the optimal regularization parameter required by a nonlinear space marching inverse heat conduction method. The regularization parameter for this approach is based on the cut-off frequency used in a low-pass Gauss digital filter for preprocessing the in-depth temperature data. The simulation uses two in-depth thermocouples which are representative of a physical experiment. Numerical results indicate a high level of robustness as the best prediction is extracted from the prediction space over the spectrum of cut-off frequencies. The feasibility and effectiveness of phase-plane and cross-correlation analyses are discussed.