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Technical Briefs

Heat Flux and Temperature Field Estimation Using Differential Interferometer

[+] Author and Article Information
S. Prasanna

Department of Mechanical Engineering, Heat Transfer and Thermal Power Laboratory, IIT Madras, Chennai 600036, India

S. P. Venkateshan1

Department of Mechanical Engineering, Heat Transfer and Thermal Power Laboratory, IIT Madras, Chennai 600036, Indiaspv@iitm.ac.in

1

Corresponding author.

J. Heat Transfer 132(9), 094502 (Jun 30, 2010) (4 pages) doi:10.1115/1.4001630 History: Received October 13, 2009; Revised March 07, 2010; Published June 30, 2010; Online June 30, 2010

A new methodology based on least-squares approach has been developed to estimate the temperature field from an interferogram recorded using a Differential interferometer (DI). The interferograms are digitally evaluated using two dimensional Fourier transforms to retrieve the temperature gradient field. Temperature field is constructed by fitting a cubic spline to the first derivatives data. The methodology has been applied to both experimental and synthetic interferograms. Both convective heat flux and temperature field were predicted accurately. The role of image noise and errors in the temperature measurements on the temperature field estimation have been studied with the aid of synthetic interferograms.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematic diagram of DI

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Figure 2

Comparison of phase (temperature) retrieved by various methods with the Ostrach solution for the heated vertical plate

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Figure 3

Parity plot between the Nusselt number predicted experimentally and the Ostrach solution for a heated vertical aluminum plate (Local Grashoff number, Grx<1.5×106)

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Figure 4

Parity plot between temperature profiles—Experimental and Ostrach for the aluminum (Local Grashoff number, Grx<1.5×106)

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Figure 5

Retrieved two dimensional temperature field clearly showing the thermal boundary layer adjacent to the heated aluminum plate (Local Grashoff number, Grx<1.5×106)

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Figure 6

Interferogram analysis on a simulated interferogram for Gr=5×106: (a) sample simulated interferogram, (b) wrapped phase (c) unwrapped phase and (d) phase map after eliminating carrier frequency

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