Inverse determination of thermal conductivity for one-dimensional problems

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Journal of Thermophysics and Heat Transfer

DOI:https://doi.org/10.2514/3.665· OSTI ID:101966

Lam, T T; Yeung, W K ^[1]

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1. Aerospace Corp, El Segundo, CA (United States)

Two finite difference procedures are presented for the inverse determination of the thermal conductivity in a one-dimensional heat conduction domain. The thermal conductivity is reconstructed from the inverse analysis based on the assumption that the temperature measurements are either available continuously over the entire domain or at discrete grid points. The convergence and stability of the computational algorithms are investigated. It is concluded that both procedures are first-order accurate methods. A comparison of the exact thermal conductivity with the one estimated was made to confirm the validity of the numerical procedures. The close agreement between the two results confirms that the proposed finite difference techniques are effective procedures for the inverse determination of thermal conductivity in a one-dimensional heat conduction domain. The methods are applicable for linear and nonlinear spatially - as well as temperature-dependent thermal conductivities. Additionally, the special feature of the present techniques is that a priori knowledge of the functional form for the thermal conductivity is not mandatory. 25 refs.

• Sponsoring Organization: USDOE
• OSTI ID: 101966
• Journal Information: Journal of Thermophysics and Heat Transfer, Journal Name: Journal of Thermophysics and Heat Transfer Journal Issue: 2 Vol. 9; ISSN 0887-8722; ISSN JTHTEO
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
COMPUTERIZED SIMULATION
CONVERGENCE
HEAT FLUX
MESH GENERATION
NUMERICAL SOLUTION
TEMPERATURE MEASUREMENT
THERMAL CONDUCTIVITY