Temperature oscillations in a metal: Probing aspects of Fourier analysis

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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.

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Last Modified: February 12, 2012

Subjects	Levels	Resource Types
Mathematical Tools - Series and Functions Oscillations & Waves - Oscillations Thermo & Stat Mech - First Law = Heat Transfer - Kinetic and Diffusive Processes = Diffusion = Thermal Conductivity - Thermal Properties of Matter = Temperature	- Lower Undergraduate	- Instructional Material = Laboratory = Student Guide

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Access Rights:: Free access
Restriction:: © 2010 LUMS School of Science and Engineering, Pakistan
Keywords:: Damping, Diffusivity, Fourier series, Fourier transform, Harmonics, Heat equation
Record Creator:: Metadata instance created February 12, 2012 by Muhammad Sabieh Anwar
Record Updated:: January 4, 2013 by Anne Cox
Last Update when Cataloged:: February 9, 2010
Other Collections:: The Advanced Labs

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<a href="https://www.compadre.org/STP/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>

AIP Format

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

AJP/PRST-PER

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), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596>.

APA Format

Shamim, S., Zia, W., & Anwar, M. (2010, February 9). Temperature oscillations in a metal: Probing aspects of Fourier analysis. Retrieved January 18, 2025, from LUMS School of Science and Engineering, Pakistan: https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596

Chicago Format

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. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596 (accessed 18 January 2025).

MLA Format

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. 18 Jan. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596>.

BibTeX Export Format

@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 = {2025}, Number = {18 January 2025}, Month = {February 9, 2010}, Year = {2010} }

Refer Export Format

%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 https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596 %O application/pdf

EndNote Export Format

%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 2025 %N 18 January 2025 %8 February 9, 2010 %9 application/pdf %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596

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