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Experiment as a Boundary-Value Problem

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Springer Handbook of Experimental Fluid Mechanics

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

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Abstract

A fluid flow experiment is an attempt to isolate a part of the world and measure flow and thermodynamic properties. A fluid is defined as a material that deforms continuously if a shear stress is applied. An internal flow situation has walls bounding the flow, but an inflow and outflow position must be controlled. An external flow problem has a uniform flow far from the body of interest. In both situations the state of flow at the boundary is controlled. In the mathematical representation of the flow, the flow conditions on the boundary are specified. This is the nature of the governing physics. If the boundary conditions depend on time the flow situation in the entire region must be specified at the initial time.

In what follows the major physical laws are outlined. In most cases tensor calculus in symbolic form is employed. Scalars are lightface type, vectors are boldface type, and tensors are boldface capitals. However, in cases where confusion is possible with tensor multiplications, index notation is employed. Scalars are then without an index, vectors have one index and tensors have two or more indices.

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Abbreviations

CR:

constraint release

DE:

Doi and Edwards

LDPE:

low-density polyethylene

MSF:

molecular stress function

PMMA:

polymethylmethacrylate

PP:

plate–plate

PS:

polarization spectroscopy

XPP:

extended pom-pom

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Author information

Authors and Affiliations

  1. Mechanical Engineering Department, The University of Texas, 1 University Station C2200, 78712-0292, Austin, TX, USA

    Ronald Panton

  2. Institut für Mechanische Verfahrenstechnik und Mechanik, Universität Karlsruhe (TH), Bauing. Kolleg. III, Fasanengarten, Gotthard-Franz-Straße 3, 76131, Karlsruhe, Germany

    Saeid Kheirandish Ph.D

  3. Polymertechnik/Polymerphysik, Technische Universität Berlin, Fasanenstr. 90, 10623, Berlin, Germany

    Manfred Wagner Prof.

Authors
  1. Ronald Panton
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  2. Saeid Kheirandish Ph.D
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  3. Manfred Wagner Prof.
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Corresponding authors

Correspondence to Ronald Panton , Saeid Kheirandish Ph.D or Manfred Wagner 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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Panton, R., Kheirandish, S., Wagner, M. (2007). Experiment as a Boundary-Value Problem. 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_1

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  • DOI: https://doi.org/10.1007/978-3-540-30299-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25141-5

  • Online ISBN: 978-3-540-30299-5

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