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Research Papers: Experimental Techniques

Flush-Mounted Steady-Periodic Heated Film With Application to Shear-Stress Measurement

[+] Author and Article Information
Kevin D. Cole

Mechanical Engineering Department, University of Nebraska-Lincoln, Lincoln, NE 68588-0656kcole1@unl.edu

J. Heat Transfer 130(11), 111601 (Aug 29, 2008) (10 pages) doi:10.1115/1.2955472 History: Received September 10, 2007; Revised January 16, 2008; Published August 29, 2008

Surface-mounted heated films have been used for fluid-flow measurement for many years. Recently unsteady heating of such surface films has been explored experimentally. In this paper steady-periodic heating of a surface-mounted film is studied analytically. Wall effects and axial heat conduction in the fluid are included. The temperature is found as an exact integral expression constructed from separate Green’s function formulations in the fluid flow and in the solid wall that are matched at the fluid-solid interface. Results for temperature, obtained by quadrature, are reported for several flow speeds and several steady-periodic frequencies. The results show that steady-periodic heating has potential for shear-stress measurement because the heating frequency may be tuned to maximize the temperature response at the shear stress of interest. Thermal calibration of these sensors is discussed, and simulated calibration curves are given.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Geometry for a flush-mounted heated film cooled by a fluid flow

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Figure 2

Amplitude of temperature along the boundary of a flowing fluid heated over 0<x∕a<1 and insulated elsewhere for various flow values, at frequency ω+=1. No wall effects are present.

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Figure 3

Amplitude of temperature along the boundary of a flowing fluid heated over 0<x∕a<1 and insulated elsewhere for various frequencies, at fluid flow Pe=10. No wall effects are present.

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Figure 4

Amplitude of spatial-average temperature on the heater for fluid flow alone, for various frequencies

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Figure 5

Phase of spatial-average temperature on the heater for fluid flow alone, for various frequencies

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Figure 6

Amplitude of spatial-average temperature on the heater for airflow over a polymer wall (k1∕k2=0.22, α1∕α2=291) for various frequencies

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Figure 7

Phase of spatial-average temperature on the heater for airflow over a polymer wall (k1∕k2=0.22, α1∕α2=291) for various frequencies

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Figure 8

Amplitude of sensitivity of temperature to thermal properties, computed for the air/polymer case with Pe=0 (no air velocity)

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Figure 9

Phase of sensitivity of temperature to thermal properties, computed for the air/polymer case with Pe=0 (no air velocity)

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