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TECHNICAL PAPERS: General

The Relationship Between Information, Sampling Rates, and Parameter Estimation Models

[+] Author and Article Information
A. F. Emery

Dept. Mechanical Engineering, University of Washington, Seattle, WA 98195

B. F. Blackwell, K. J. Dowding

Validation and Uncertainty Quantification, Sandia National Laboratory,1 Albuquerque, NM 87185-0828

J. Heat Transfer 124(6), 1192-1199 (Dec 03, 2002) (8 pages) doi:10.1115/1.1513581 History: Received August 24, 2001; Revised July 02, 2002; Online December 03, 2002
Copyright © 2002 by ASME
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References

Gans, P., 1992, Data Fitting in the Chemical Sciences, J. Wiley and Sons, New York, NY.
Blackwell, B. F., Gill, W., Dowding, K. J., and Easterling, R. G., 2000, “Uncertainty Estimation in the Determination of Thermal Conductivity of 304 Stainless Steel,” Proc. IMECE 2000, HTD Vol. 366-2, ASME, New York, pp. 147–154.
Beck, J. V., and Arnold, K. J., 1977, Parameter Estimation in Engineering and Science, J. Wiley and Sons, New York, NY.
Beck,  J. V., Blackwell,  B., and Haji-Sheikh,  A., 1996, “Comparison of Some Inverse Heat Conduction Methods Using Experimental Data,” Int. J. Heat Mass Transf., 39, pp. 3649–3657.
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Emery,  A. F., and Nenarokomov,  A. V., 1998, “Optimal Experiment Design,” Meas. Sci. Technol., 9, pp. 864–876.
Emergy,  A. F., and Fadale,  T. D., 1996, “Design of Experiments Using Uncertainty Information,” ASME J. Heat Transfer, 118, pp. 532–538.
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Emery,  A. F., 2001, “Using the Concept of Information to Optimally Design Experiments With Uncertain Parameters,” ASME J. Heat Transfer, 123, pp. 593–600.

Figures

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(a) Schematic of the experiment; (b) Measured temperatures from Ref. 2; and (c) residuals form Ref. 2.
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Effect of correlated errors on the information from Eq. 18 for a prescribed heat flux at x=L and an insulated boundary at x=0 for σε=1
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(a) Correlation coefficients for a data trace at station 7 from the experiment of Ref. 2, sampled at ≈1.5 sec; and (b) Information content for a data trace at station 7 from the experiment of Ref. 2.
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(a) Auto-correlation when using every 10th data point to estimate the conductivity; (b) Information when using every 10th data point to estimate the conductivity.
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Sensitivities ∂T/∂k|k0,ti,x for the PT and PF models
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Estimated boundary flux for the PF model
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(a) Information content of the PF and PT models with no uncertainty in the boundary conditions; (b) Information content of the PF and PT models with uncertainty in the boundary conditions and correlation in time.

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