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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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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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