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Topological Considerations in Fluid Mechanics Measurements

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Springer Handbook of Experimental Fluid Mechanics

Part of the book series: Springer Handbooks ((SHB))

Abstract

The vector field variables of interest in experimental fluid mechanics include velocity, vorticity and wall shear stress. Additional vector fields of interest include the gradients of pressure and temperature. Each of these is subject to the constraints that can be placed on the isolated singular points (vector magnitude = 0) of the vector field that is projected onto a surface of interest. Identifying the relevant surfaces for a given flow and establishing, for a given identified surface, an a priori constraint on the isolated singular points of the relevant vector field, can provide experimentalists with a powerful diagnostic tool.

It is the purpose of this chapter of the handbook to enable the reader to utilize this diagnostic tool for any flow field of interest.

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Abbreviations

CFD:

computational fluid dynamic

PIV:

particle image velocimetry

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Author information

Authors and Affiliations

  1. Mechanical Engineering, Michigan State University, A118 Engineering Research Complex, 48824-1326, East Lansing, MI, USA

    John Foss Prof.

Authors
  1. John Foss Prof.
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Corresponding author

Correspondence to John Foss Prof. .

Editor information

Editors and Affiliations

  1. Fachgebiet Strömungslehre und Aerodynamik, Technische Universität Darmstadt, Petersenstraße 30, 64287, Darmstadt, Germany

    Cameron Tropea Dr.

  2. Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 W. Taylor St., 60607-7022, Chicago, IL, USA

    Alexander L. Yarin Dr.

  3. Mechanical Engineering, Michigan State University, A118 Engineering Research Complex, 48824-1326, East Lansing, MI, USA

    John F. Foss Dr.

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© 2007 Springer-Verlag

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Foss, J. (2007). Topological Considerations in Fluid Mechanics Measurements. In: Tropea, C., Yarin, A.L., Foss, J.F. (eds) Springer Handbook of Experimental Fluid Mechanics. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30299-5_13

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  • DOI: https://doi.org/10.1007/978-3-540-30299-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25141-5

  • Online ISBN: 978-3-540-30299-5

  • eBook Packages: EngineeringEngineering (R0)

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