Development and implementation of sensitivity coefficient equations for heat conduction problems

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Three different methods are discussed for computing the sensitivity of the temperature field to changes in material properties and initial-boundary condition parameters for heat conduction problems. The most general method is to derive sensitivity equations by differentiating the energy equation with respect to the parameter of interest and numerically solving the resulting sensitivity equations. An example problem in which there are twelve parameters of interest is presented and the resulting sensitivity equations are derived. Numerical results are presented for thermal conductivity and volumetric heat capacity sensitivity coefficients for heat conduction in a 2-D orthotropic body. The numerical results are compared ... continued below

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30 p.

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Blackwell, B.F.; Cochran, R.J. & Dowding, K.J. December 15, 1997.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

Three different methods are discussed for computing the sensitivity of the temperature field to changes in material properties and initial-boundary condition parameters for heat conduction problems. The most general method is to derive sensitivity equations by differentiating the energy equation with respect to the parameter of interest and numerically solving the resulting sensitivity equations. An example problem in which there are twelve parameters of interest is presented and the resulting sensitivity equations are derived. Numerical results are presented for thermal conductivity and volumetric heat capacity sensitivity coefficients for heat conduction in a 2-D orthotropic body. The numerical results are compared with the analytical solution to demonstrate that the numerical method is second order accurate as the mesh is refined spatially.

Physical Description

30 p.

Notes

OSTI as DE98004233

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  • ASME/AIAA joint thermophysics and heat transfer conference, Albuquerque, NM (United States), 15-18 Jun 1998

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  • Other: DE98004233
  • Report No.: SAND--98-0060C
  • Report No.: CONF-980610--
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 650317
  • Archival Resource Key: ark:/67531/metadc710224

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  • December 15, 1997

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 14, 2016, 3:31 p.m.

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Blackwell, B.F.; Cochran, R.J. & Dowding, K.J. Development and implementation of sensitivity coefficient equations for heat conduction problems, article, December 15, 1997; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc710224/: accessed December 16, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.