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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.

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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
Intended Users Formats Ratings
- Learners
- Educators
- Researchers
- application/pdf
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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:

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Record Link
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 April 25, 2024, 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 25 April 2024).
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. 25 Apr. 2024 <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 = {2024}, Number = {25 April 2024}, 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 2024 %N 25 April 2024 %8 February 9, 2010 %9 application/pdf %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11715&DocID=2596


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