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Original Articles

Filter solutions for the nonlinear inverse heat conduction problem

Pages 3-20 | Received 07 Nov 2005, Accepted 19 Apr 2006, Published online: 06 Feb 2008

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (9)

Hadi Farzan, Seyed Masoud Hosseini Sarvari & Tahar Loulou. (2020) Application of Noise Reduction Technique in the Inverse Analysis Using Kalman Filter. Heat Transfer Engineering 41:13, pages 1174-1188.
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Shibin Wan, Guangjun Wang, Hong Chen & Cai Lv. (2018) Multi-model method for solving nonlinear transient inverse heat conduction problems. Inverse Problems in Science and Engineering 26:5, pages 621-640.
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Hongchu Chen, Jay I. Frankel & Majid Keyhani. (2018) Nonlinear inverse heat conduction problem of surface temperature estimation by calibration integral equation method. Numerical Heat Transfer, Part B: Fundamentals 73:5, pages 263-291.
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Hongchu Chen, Jay I. Frankel & Majid Keyhani. (2017) Nonlinear inverse heat conduction: Digitally filtered space marching with phase-plane and cross-correlation analyses. Numerical Heat Transfer, Part B: Fundamentals 72:2, pages 109-129.
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Y.Y. Chen, J.I. Frankel & M. Keyhani. (2014) A new nonlinear surface heat flux calibration method based on Kirchhoff transformation and rescaling principles. Inverse Problems in Science and Engineering 22:8, pages 1394-1421.
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Marc LeBreux, Martin Désilets & Marcel Lacroix. (2012) Control of the ledge thickness in high-temperature metallurgical reactors using a virtual sensor. Inverse Problems in Science and Engineering 20:8, pages 1215-1238.
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Bryan S. Elkins, Majid Keyhani & J.I. Frankel. (2012) Global time method for inverse heat conduction problem. Inverse Problems in Science and Engineering 20:5, pages 651-664.
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Jianhua Zhou, Yuwen Zhang, J.K. Chen & Z.C. Feng. (2012) Inverse Estimation of Surface Temperature Induced by a Moving Heat Source in a 3-D Object Based on Back Surface Temperature with Random Measurement Errors. Numerical Heat Transfer, Part A: Applications 61:2, pages 85-100.
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Articles from other publishers (33)

Keith A. Woodbury, Hamidreza Najafi, Filippo Monte & James V. Beck. 2023. Inverse Heat Conduction. Inverse Heat Conduction 157 185 .
Shawn Siroka, Reid A. Berdanier & Karen A. Thole. (2022) Two-layer transient heat transfer using impulse response methods. International Journal of Heat and Mass Transfer 187, pages 122511.
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Patrick Krane, David Gonzalez Cuadrado, Francisco Lozano, Guillermo Paniagua & Amy Marconnet. (2022) Sensitivity Coefficient-Based Inverse Heat Conduction Method for Identifying Hot Spots in Electronics Packages: A Comparison of Grid-Refinement Methods. Journal of Electronic Packaging 144:1.
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Obinna Uyanna & Hamidreza Najafi. (2022) A novel solution for inverse heat conduction problem in one-dimensional medium with moving boundary and temperature-dependent material properties. International Journal of Heat and Mass Transfer 182, pages 122023.
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Rodrigo Gustavo Dourado da Silva, Diego Correa Ferreira, Fernando Viana Avelar Dutra & Sandro Metrevelle Marcondes Lima e Silva. (2021) Simultaneous real time estimation of heat flux and hot spot temperature in machining process using infrared camera. Case Studies in Thermal Engineering 28, pages 101352.
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Obinna Uyanna, Hamidreza Najafi & Bhuvaneswari Rajendra. (2021) An inverse method for real-time estimation of aerothermal heating for thermal protection systems of space vehicles. International Journal of Heat and Mass Transfer 177, pages 121482.
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Benjamin A. Tourn, Juan C. Álvarez Hostos & Víctor D. Fachinotti. (2021) Implementation of total variation regularization-based approaches in the solution of linear inverse heat conduction problems concerning the estimation of surface heat fluxes. International Communications in Heat and Mass Transfer 125, pages 105330.
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Bin Chen, Jia-Meng Tian & Zhi-Fu Zhou. 2020. Inverse Heat Conduction and Heat Exchangers. Inverse Heat Conduction and Heat Exchangers.
Min Li, Liwen Zhang & Gang Liu. (2020) Step-wise algorithm for estimating multi-parameter of the ground and geothermal heat exchangers from thermal response tests. Renewable Energy 150, pages 435-442.
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Hong-chu Chen. (2019) Resolving double-sided inverse heat conduction problem using calibration integral equation method用基于校准积分方程的方法解决双面导热反问题. Journal of Central South University 26:8, pages 2100-2108.
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Patrick Krane, David Gonzalez Cuadrado, Francisco Lozano, Guillermo Paniagua & Amy Marconnet. (2019) Identifying Hot Spots in Electronics Packages with a Sensitivity-Coefficient Based Inverse Heat Conduction Method. Identifying Hot Spots in Electronics Packages with a Sensitivity-Coefficient Based Inverse Heat Conduction Method.
F. Samadi, K.A. Woodbury & J.V. Beck. (2018) Evaluation of generalized polynomial function specification methods. International Journal of Heat and Mass Transfer 122, pages 1116-1127.
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Hongchu Chen, Jay I. Frankel & Majid Keyhani. (2018) Two-probe calibration integral equation method for nonlinear inverse heat conduction problem of surface heat flux estimation. International Journal of Heat and Mass Transfer 121, pages 246-264.
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Jia-meng Tian, Bin Chen & Zhi-fu Zhou. (2017) Methodology of surface heat flux estimation for 2D multi-layer mediums. International Journal of Heat and Mass Transfer 114, pages 675-687.
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J.A. Myrick, M. Keyhani & J.I. Frankel. (2017) Determination of surface heat flux and temperature using in-depth temperature data – Experimental verification. International Journal of Heat and Mass Transfer 111, pages 982-998.
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Y. Y. Chen, J. I. Frankel & M. Keyhani. (2017) A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a time-varying back boundary condition. Journal of Engineering Mathematics 105:1, pages 157-187.
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Ran Li, Zhongwei Huang, Gensheng Li, Xiaoguang Wu & Pengsen Yan. (2017) Study of the conductive heat flux from concrete to liquid nitrogen by solving an inverse heat conduction problem. Journal of Loss Prevention in the Process Industries 48, pages 48-54.
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Ran Li, Zhongwei Huang, Gensheng Li, Xiaoguang Wu & Pengsen Yan. (2017) A modified space marching method using future temperature measurements for transient nonlinear inverse heat conduction problem. International Journal of Heat and Mass Transfer 106, pages 1157-1163.
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J. A. Myrick, M. Keyhani & J. I. Frankel. (2016) Inverse Prediction of Temperature Through Time Rescaling of High-Temperature Experimental Data. Journal of Thermal Science and Engineering Applications 8:4.
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Hongchu Chen, Jay I. Frankel & Majid Keyhani. (2016) Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM). Applied Mathematical Modelling 40:13-14, pages 6588-6603.
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James V. Beck & Keith A. Woodbury. (2016) Inverse heat conduction problem: Sensitivity coefficient insights, filter coefficients, and intrinsic verification. International Journal of Heat and Mass Transfer 97, pages 578-588.
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Y. Y. Chen, J. I. Frankel & M. Keyhani. (2016) Nonlinear, Rescaling-Based Inverse Heat Conduction Calibration Method and Optimal Regularization Parameter Strategy. Journal of Thermophysics and Heat Transfer 30:1, pages 67-88.
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Hamidreza Najafi, Keith A. Woodbury & James V. Beck. (2015) Real time solution for inverse heat conduction problems in a two-dimensional plate with multiple heat fluxes at the surface. International Journal of Heat and Mass Transfer 91, pages 1148-1156.
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Hamidreza Najafi & Keith A. Woodbury. (2015) Online heat flux estimation using artificial neural network as a digital filter approach. International Journal of Heat and Mass Transfer 91, pages 808-817.
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Hamidreza Najafi, Keith A. Woodbury, James V. Beck & Ned R. Keltner. (2015) Real-time heat flux measurement using directional flame thermometer. Applied Thermal Engineering 86, pages 229-237.
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Hamidreza Najafi, Keith A. Woodbury & James V. Beck. (2015) A filter based solution for inverse heat conduction problems in multi-layer mediums. International Journal of Heat and Mass Transfer 83, pages 710-720.
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Keith A. Woodbury, James V. Beck & Hamidreza Najafi. (2014) Filter solution of inverse heat conduction problem using measured temperature history as remote boundary condition. International Journal of Heat and Mass Transfer 72, pages 139-147.
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Keith A. Woodbury & James V. Beck. (2013) Estimation metrics and optimal regularization in a Tikhonov digital filter for the inverse heat conduction problem. International Journal of Heat and Mass Transfer 62, pages 31-39.
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Masoud Khorrami, Forooza Samadi, Farshad Kowsary & Morteza Mohammadzaheri. (2013) Online estimation of multicomponent heat flux using a system identification technique. International Communications in Heat and Mass Transfer 44, pages 127-134.
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Bryan S. Elkins, Majid Keyhani & Jay I. Frankel. (2013) Surface Heat Flux Prediction Through Physics-Based Calibration, Part 2: Experimental Validation. Journal of Thermophysics and Heat Transfer 27:2, pages 206-216.
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F. Samadi, F. Kowsary & A. Sarchami. (2012) Estimation of heat flux imposed on the rake face of a cutting tool: A nonlinear, complex geometry inverse heat conduction case study. International Communications in Heat and Mass Transfer 39:2, pages 298-303.
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Ned R. Keltner, James V. Beck, James T. Nakos, Art Parker & S. W. Dean. (2010) Using Directional Flame Thermometers for Measuring Thermal Exposure. Journal of ASTM International 7:2, pages 102280.
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Ben Blackwell & James V. Beck. (2010) A technique for uncertainty analysis for inverse heat conduction problems. International Journal of Heat and Mass Transfer 53:4, pages 753-759.
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