OPTIMAL PARAMETERIZATION IN THE MEASUREMENTS OF THE THERMAL DIFFUSIVITY OF THERMAL BARRIER COATINGS
Abstract
The paper presents an estimation procedure for the measurement of the thermal diffusivity of thermal barrier coatings deposited on thermal conductive substrates using the laser flash method when the thermal contact resistance between the coating and substrate is unknown. The procedure is based on the application of the optimal parameterization technique and Gauss minimization algorithm. It has been applied on the experimental data obtained by using two different samples, one made of PTFE (polytetrafluoroethylene) coating deposited on a stainless steel substrate and the other made of PVC (polyvinylchloride) deposited on a copper substrate.
Dates
- Submission Date2007-02-21
- Revision Date2007-03-05
- Acceptance Date2007-03-08
References
- Parker, W.J., Jenkins, R.J., Butler, C.P., and Abbott, G.L., 1961, Thermal Diffusivity Measurements Using the Flash Technique, J. Appl. Phys., 32, 1679-1684.
- Cape, J.A. and Lehman, G.W., 1963, Temperature and Finite Pulse-Time Effects in the Flash Method for Measuring Thermal Diffusivity, J. Appl. Phys., 34, 1909-1913.
- Taylor, R.E. and Clark III, L.M., 1974, Finite Pulse Time Effect in Flash Diffusivity Method, High Temp. High Press., 6, 65-72.
- Larson, K.B. and Koyama, K., 1968, Measurement by the Flash Method of Thermal Diffusivity, Heat Capacity, and Thermal Conductivity in Two-Layer Composite Samples, J. Appl. Phys., 39, 4408-4416.
- Bulmer, R.F. and Taylor, R.E., 1974, Measurement by the Flash Method of Thermal Diffusivity in Two-Layer Composite Samples, High Temp. High Press., 6, 491-497.
- Chistyakov, V.I., 1973, Pulse Method of Determining the Thermal Conductivity of Coating, Teplofiz. Vys. Temp., 11, 832-837. (in Russian)
- Hartmann, J., Nilsson, O., and Fricke, J., 1993, Thermal diffusivity measurements on two-layered and three-layered systems with the laser-flash method, High Temp. High Press., 25, 403-410.
- Lee, T.Y.R., Donaldson, A.B., and Taylor, R.E., 1978, In: V.V. Mirkovich (Ed.) Thermal Conductivity 15 (New York: Plenum Press), pp. 135-147.
- Shoemaker, R.L., 1986, Limitations of the Pulse Diffusivity Method as Applied to Composite Materials, High Temp. High Press., 18, 645-654.
- Degiovanni, A., 1988, Conduction dans un "mur" multicouche avec sources: extension de la notion de quadripole, Int. J. Heat Mass Transfer., 31, 553-557.
- Milošević, N.D., Raynaud, M., and Maglić, K.D., 2002, Estimation of contact resistance between the materials of double-layer sample using the laser flash method, Inverse Probl. Eng., 10, 85-103.
- Hobbie, E.K. and De-Reggi, A.S., 1999, Laser-pulse technique for measuring the thermal diffusivity of substrate-supported polymer films, Rev. Sci. Instr., 70, 4356-4358.
- Milošević, N.D., Raynaud, M., and Maglić, K.D., 2003, Simultaneous Estimation of Thermal Diffusivity and Thermal Contact Resistance of Thin Solid Films and Coatings Using the Two-Dimensional Flash Method, Int. J. Thermophys., 24, 799-819.
- Martinsons, C., 2005, Optimal parameterization of a mathematical model for solving parameter estimation problems, Inverse Probl. Sci. Eng., 13, 109-131.
- Mikhailov, M.D., and Vulchanov, N.L., 1983, Computational procedure for Sturm-Liouville problems, J. Comp. Phys., 50, 323-336.
- Beck, J.V. and Arnold, K.J., 1977, Parameter Estimation in Engineering and Sciences (New York: J. Wiley and Sons).
- Touloukian, Y.S. and Buyco, E.H., 1970, Thermophysical Properties of Matter, The TPRL Data Series, Vol. 4: Specific Heat, Metallic Elements and Alloys (New York-Washington: IFI/Plenum).
- Touloukian, Y.S. and DeWitt, D.P., 1970, Thermophysical Properties of Matter, The TPRL Data Series, Vol. 7: Thermal Radiative Properties, Metallic Elements and Alloys (New York-Washington: IFI/Plenum).
- Touloukian, Y.S., Powell, R.W., Ho, C.Y., and Nikolaou, M.C., 1973, Thermophysical Properties of Matter, The TPRL Data Series, Vol. 10: Thermal Diffusivity (New York-Washington: IFI/Plenum).
- Brandrup, J. and Immergut, E.H. (Ed.), 1966, Polymer Handbook (New York: Interscience).
- Maglić, K.D. and Milošević, N.D., 1997, In: P.S. Gaal, D.E. Apostolescu (Eds.) Thermal Conductivity 24 (Lancaster: Technomic Publication), pp. 673-682.
Volume
11,
Issue
1,
Pages137 -156