Temperature oscillations in a metal: Probing aspects of Fourier analysis

written by
Sohaib Shamim,
Wasif Zia, and
Muhammad Sabieh Anwar
published by
the LUMS School of Science and Engineering

Describes an experiment to acquaint students with physical illustrations of concepts in Fourier analysis using a simple experimental setup involving wavelike behavior. In addition, students measure the speed of propagation of thermal oscillations, analyze the heat equation and measure the thermal diffusivity of the material under observation.

The objectives of the experiment are:

1. to understand the basis of heat flow and recognize heat conduction as a diffusive process, 2. to learn about solutions of the heat equation, 3. to decompose an oscillation into its harmonics, 4. to observe different harmonics and how they damp with different rates, and 5. to estimate the thermal diffusivity of a metal.

<a href="http://www.compadre.org/advlabs/items/detail.cfm?ID=11715">Shamim, S, W. Zia, and M. Anwar. Temperature oscillations in a metal: Probing aspects of Fourier analysis. Lahore Cantt: LUMS School of Science and Engineering, Pakistan, February 9, 2010.</a>

S. Shamim, W. Zia, and M. Anwar, (LUMS School of Science and Engineering, Pakistan, Lahore Cantt, 2010), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596).

S. Shamim, W. Zia, and M. Anwar, Temperature oscillations in a metal: Probing aspects of Fourier analysis, (LUMS School of Science and Engineering, Pakistan, Lahore Cantt, 2010), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596>.

Shamim, S., Zia, W., & Anwar, M. (2010, February 9). Temperature oscillations in a metal: Probing aspects of Fourier analysis. Retrieved November 26, 2015, from LUMS School of Science and Engineering, Pakistan: http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596

Shamim, S, W. Zia, and M. Anwar. Temperature oscillations in a metal: Probing aspects of Fourier analysis. Lahore Cantt: LUMS School of Science and Engineering, Pakistan, February 9, 2010. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596 (accessed 26 November 2015).

Shamim, Sohaib, Wasif Zia, and Muhammad Sabieh Anwar. Temperature oscillations in a metal: Probing aspects of Fourier analysis. Lahore Cantt: LUMS School of Science and Engineering, Pakistan, 2010. 9 Feb. 2010. 26 Nov. 2015 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596>.

@misc{
Author = "Sohaib Shamim and Wasif Zia and Muhammad Sabieh Anwar",
Title = {Temperature oscillations in a metal: Probing aspects of Fourier analysis},
Publisher = {LUMS School of Science and Engineering, Pakistan},
Volume = {2015},
Number = {26 November 2015},
Month = {February 9, 2010},
Year = {2010}
}

%A Sohaib Shamim %A Wasif Zia %A Muhammad Sabieh Anwar %T Temperature oscillations in a metal: Probing aspects of Fourier analysis %D February 9, 2010 %I LUMS School of Science and Engineering, Pakistan %C Lahore Cantt %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596 %O application/pdf

%0 Electronic Source %A Shamim, Sohaib %A Zia, Wasif %A Anwar, Muhammad Sabieh %D February 9, 2010 %T Temperature oscillations in a metal: Probing aspects of Fourier analysis %I LUMS School of Science and Engineering, Pakistan %V 2015 %N 26 November 2015 %8 February 9, 2010 %9 application/pdf %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596

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