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2 - Dimensional and Scaling Analysis

Published online by Cambridge University Press:  20 September 2018

Neil M. Ribe
Affiliation:
Centre National de la Recherche Scientifique (CNRS), Paris
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Summary

Chapter 2 introduces dimensional analysis and scaling analysis, two general techniques for obtaining insight into how some parameter of interest depends on the other parameters defining the problem at hand. Two methods of dimensional analysis are discussed: Buckingham's Pi-theorem, and nondimensionalisation of the governing equations. Scaling analysis is illustrated using the example of heat transfer from a hot sphere moving in a viscous fluid.
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Publisher: Cambridge University Press
Print publication year: 2018

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  • Dimensional and Scaling Analysis
  • Neil M. Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book: Theoretical Mantle Dynamics
  • Online publication: 20 September 2018
  • Chapter DOI: https://doi.org/10.1017/9781316795897.003
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  • Dimensional and Scaling Analysis
  • Neil M. Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book: Theoretical Mantle Dynamics
  • Online publication: 20 September 2018
  • Chapter DOI: https://doi.org/10.1017/9781316795897.003
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Dimensional and Scaling Analysis
  • Neil M. Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book: Theoretical Mantle Dynamics
  • Online publication: 20 September 2018
  • Chapter DOI: https://doi.org/10.1017/9781316795897.003
Available formats
×