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Title: Application of sensitivity coefficients for heat conduction problems

Abstract

In parameter estimation, considerable insight is provided by examining sensitivity coefficients. This article focuses on the use of sensitivity coefficients in connection with estimating thermal properties in the heat conduction equation. It is demonstrated how sensitivity coefficients are used in the design/analysis of parameter estimation experiments. A general methodology for computing sensitivity coefficients can be an important design tool in many other regards also. A control-volume, finite-element program is used to implement numerical sensitivity coefficient calculations. In this approach, general problems can be studied. Several example cases are presented to demonstrate the insight gained from sensitivity coefficients. The cases are selected from experimental studies to characterize the thermal properties of carbon-carbon composite. However, no experimental data are reported. Sensitivity coefficients show that in an experiment that is not well designed, additional materials in the experimental configuration can have a larger impact on the temperature than the material of interest. Two-dimensional configurations demonstrate that there can be isolated areas of insensitivity and the difficulty of estimating multiple parameters.

Authors:
; ;  [1]
  1. Sandia National Labs., Albuquerque, NM (United States). Thermal Sciences Dept.
Publication Date:
Research Org.:
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
687479
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article
Journal Name:
Numerical Heat Transfer. Part B, Fundamentals
Additional Journal Information:
Journal Volume: 36; Journal Issue: 1; Other Information: PBD: Jul-Aug 1999
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; THERMAL CONDUCTION; SENSITIVITY; THERMAL ANALYSIS; FINITE ELEMENT METHOD; CARBON; COMPOSITE MATERIALS; THERMAL CONDUCTIVITY

Citation Formats

Dowding, K J, Blackwell, B F, and Cochran, R J. Application of sensitivity coefficients for heat conduction problems. United States: N. p., 1999. Web.
Dowding, K J, Blackwell, B F, & Cochran, R J. Application of sensitivity coefficients for heat conduction problems. United States.
Dowding, K J, Blackwell, B F, and Cochran, R J. 1999. "Application of sensitivity coefficients for heat conduction problems". United States.
@article{osti_687479,
title = {Application of sensitivity coefficients for heat conduction problems},
author = {Dowding, K J and Blackwell, B F and Cochran, R J},
abstractNote = {In parameter estimation, considerable insight is provided by examining sensitivity coefficients. This article focuses on the use of sensitivity coefficients in connection with estimating thermal properties in the heat conduction equation. It is demonstrated how sensitivity coefficients are used in the design/analysis of parameter estimation experiments. A general methodology for computing sensitivity coefficients can be an important design tool in many other regards also. A control-volume, finite-element program is used to implement numerical sensitivity coefficient calculations. In this approach, general problems can be studied. Several example cases are presented to demonstrate the insight gained from sensitivity coefficients. The cases are selected from experimental studies to characterize the thermal properties of carbon-carbon composite. However, no experimental data are reported. Sensitivity coefficients show that in an experiment that is not well designed, additional materials in the experimental configuration can have a larger impact on the temperature than the material of interest. Two-dimensional configurations demonstrate that there can be isolated areas of insensitivity and the difficulty of estimating multiple parameters.},
doi = {},
url = {https://www.osti.gov/biblio/687479}, journal = {Numerical Heat Transfer. Part B, Fundamentals},
number = 1,
volume = 36,
place = {United States},
year = {Thu Jul 01 00:00:00 EDT 1999},
month = {Thu Jul 01 00:00:00 EDT 1999}
}