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RESEARCH PAPER

A Dual-Scale Computational Method for Correcting Surface Temperature Measurement Errors

[+] Author and Article Information
T. C. Tszeng, G. F. Zhou

Department of Mechanical, Materials and Aerospace Engineering, Illinois Institute of Technology, Chicago, IL 60616

J. Heat Transfer 126(4), 535-539 (Apr 20, 2004) (5 pages) doi:10.1115/1.1773585 History: Received January 08, 2003; Revised April 20, 2004
Copyright © 2004 by ASME
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References

Saraf, V., 2001, “Distortion Characterization and Quench Process Modeling in Heat Treated Components of IN 718 Superalloy and AISI 4142 Steel,” M.S. thesis, Department of Mechanical, Materials and Aerospace Engineering, Illinois Institute of Technology, Chicago, IL.
Cross, M. F., Bennett, J. C., Jr, and Bass, R. W., 1999, “Developing Empirical Equations for Heat Transfer Coefficients on Metallic Disks,” 19th ASM-HTS Conference Proceedings, pp. 335–342.
Park, J. E., Childs, K. W., Ludtka, G. M., and Chu, W., 1991, “Correction of Errors in Intrinsic Thermocouple Signals Recorded During Quenching,” National Heat Treat Conference, Minneapolis, MN.
Zhou, G. F., and Tszeng, T. C., 2002, “Determination of Heat Transfer Coefficients by Inverse Calculation in Conjunction With Embedded Model for Surface Mounted Thermocouples,” paper in preparation.
Tszeng,  T. C., and Saraf,  V., 2003, “A Study of Fin Effects in the Measurement of Temperature Using Surface Mounted Thermocouples,” ASME J. Heat Transfer, 125, pp. 926–935.
Gummadam, K. C., 2002, “Characterizing the Inverse Computational Method for the Determination of Surface Heat Transfer Coefficients,” M.S. thesis, Department of Mechanical, Materials and Aerospace Engineering, Illinois Institute of Technology, Chicago, IL.
Bass, R. W., 1998, Heat Transfer of Turbine Disks in Liquid Quench, Techxperts, Inc., Tolland, CN.
Tszeng, T. C., 2000, “Determination of Heat Transfer Boundary Conditions of Quenching Operations in Heat Treating Processes,” Heat Treating and Hardening of Gears, SME Technical Paper CM00-123, SME, Dearborn, MI.
Beck, J. V., and Osman, A. M. 1992, “Analysis of Quenching and Heat Treating Processes Using Inverse Heat Transfer Method,” Proceedings of the First International Conference on Quenching and Control of Distortion, G. E. Totten, ed., ASM International, pp. 147–153.
Beck, J. V., Blackwell, B., and St. Clair, Jr., C. R., 1985, Inverse Heat Conduction: Ill-Posed Problems, Wiley-Interscience, New York.
Gummadam, K. C., and Tszeng, T. C., 2001, “An Integrated Approach to Estimate the Surface Heat Transfer Coefficients in Heat Treating Processes,” ASM International/IFHTSE Symposium on Quenching and Control of Distortion.
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Figures

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Two types of junction for installing surface-mounted thermocouples
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Embedded computational model for calculating the temperature field in and around the thermocouple
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Difference between the undisturbed surface temperature and calculated temperature at junction, (TU−TJ). The calculated temperature normalized by the maximum temperature (100°C), and the dimensionless time is given by τ=α1t/a2. The bottom surface of the thin plate experiences a step change of 100°C in temperature. The thermocouple wire radius a=0.1 mm, and the thickness is 3 mm. k1=k2=10 w/m/k,(ρc)1=(ρc)2=1×106 J/m3/k. The conventional FEM model is shown in Fig. 4.
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Conventional FEM mesh for half of an axisymmetric model that features a thermocouple of radius a=0.1 mm on a substrate whose thickness is 3 mm; length of thermocouple L=1.9 mm. The base of the substrate is brought to 100°C at t=0; other surfaces are adiabatic. Thermophysical properties are the same as that of Fig. 3. The contour plot is the temperature distribution in the vicinity of junction at a normalized time τ=400.
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Calculated histories of temperature for rapid heating, short holding and rapid quenching from the bottom surface of the thin plate of 3 mm thickness. The thermocouple is a Chromel. Actual thermophysical properties of 4140 steel 5 are used. (a) The calculated temperature for wire radius of 0.15 mm; (b) The error in temperature as predicted by dual-scale FEM.
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Calculated histories of temperature by using the dual-scale computation for rapid quenching from the top surface of the parent object. The thermocouple is a Chromel. Wire radius of 0.4 mm. η is the normalized heat transfer coefficient on the surface of insulation sleeve. (a) Heat transfer coefficient h=1 kW/m2 K; (b) Heat transfer coefficient h=10 kW/m2 K.
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Calculated errors in temperature by using the dual-scale computation for rapid quenching from the top surface of the parent object. The thermocouple is a Chromel. Heat transfer coefficient h=1 kW/m2 K. η is the normalized heat transfer coefficient on the surface of insulation sleeve (a) wire radius of 0.04 mm; (b) wire radius of 0.4 mm.

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