Various methods have been proposed to solve the inverse heat conduction problem of determining a boundary condition at the surface of a body from discrete internal temperature measurements. These include function specification and regularization methods. This paper investigates the various components of the regularization method using the sequential regularization method proposed by Beck and Murio (1986). Specifically, the effects of the regularization order and the influence of the regularization parameter are analyzed. It is shown that as the order of regularization increases, the bias errors decrease and the variance increases. Comparatively, the zeroth regularization has higher bias errors and the second-order regularization is more sensitive to random errors. As the regularization parameter decreases, the sensitivity of the estimator to random errors is shown to increase; on the other hand, the bias errors are shown to decrease.
Skip Nav Destination
Article navigation
Research Papers
Analysis of Order of the Sequential Regularization Solutions of Inverse Heat Conduction Problems
E. P. Scott,
E. P. Scott
Heat Transfer Group, Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824
Search for other works by this author on:
J. V. Beck
J. V. Beck
Heat Transfer Group, Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824
Search for other works by this author on:
E. P. Scott
Heat Transfer Group, Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824
J. V. Beck
Heat Transfer Group, Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824
J. Heat Transfer. May 1989, 111(2): 218-224 (7 pages)
Published Online: May 1, 1989
Article history
Received:
January 29, 1988
Online:
October 20, 2009
Citation
Scott, E. P., and Beck, J. V. (May 1, 1989). "Analysis of Order of the Sequential Regularization Solutions of Inverse Heat Conduction Problems." ASME. J. Heat Transfer. May 1989; 111(2): 218–224. https://doi.org/10.1115/1.3250665
Download citation file:
Get Email Alerts
Cited By
Numerical Investigations of a Single Loop Pulsating Heat Pipe for Cryogenic Applications
J. Heat Mass Transfer
Non-Classical Heat Transfer and Recent Progress
J. Heat Mass Transfer
Related Articles
Determination of the Reaction Function in a Reaction-Diffusion Parabolic Problem
J. Heat Transfer (November,1994)
Transient Thermal Constriction Resistance in a Finite Heat Flux Tube
J. Heat Transfer (August,1995)
A Control Theory Method for Solutions of Inverse Transient Heat Conduction Problems
J. Heat Transfer (February,1994)
Numerical Study of Shear-Induced Heating in High-Speed Nozzle Flow of Liquid Monopropellant
J. Heat Transfer (February,1998)
Related Proceedings Papers
Related Chapters
Conclusion
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Steady Heat Conduction with Variable Heat Conductivity
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow