Motions with Constant Stretch History

  • Walter Noll

Abstract

The class of motions considered in the present paper has recently been introduced by Coleman* [1], who noticed that it includes almost all steady flows that have ever been studied in connection with non-classical fluids. Examples are: Simple shearing flow, laminar flow through pipes (circular or not), Couette flow, helical flow, torsional flow, and circular flow between coaxial cones or concentric spheres. All these examples are actually special cases of what is called here steady curvilineal flow (see Section 3). The curvilineal flows belong to a class of motions which have been called viscometric flows (see Section 3 of the present paper or Section 3 of [1]).

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References

  1. [1]
    Coleman, B. D.: Kinematical concepts with applications in the mechanics and thermodynamics of incompressible viscoelastic fluids. Arch. Rational Mech. Anal. 9, 273–300 (1961).ADSGoogle Scholar
  2. [2]
    Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197–226 (1958).ADSMATHCrossRefGoogle Scholar
  3. [3]
    Coleman, B. D., & W. Noll: Simple fluids with fading memory. Symposium on Second Order Effects in Elasticity, Plasticity, and Fluid Dynamics. Haifa, Israel 1962.Google Scholar
  4. [4]
    Truesdell, C., & R. A. Toupin: The Classical Field Theories. In: Encyclopedia of Physics, vol. III/1, edited by S. Flügge. Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
  5. [5]
    Coleman, B. D., & W. Noll: Steady extension of incompressible simple fluids. Phys. of Fluids 5, 840–843 (1962).MathSciNetADSMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • Walter Noll
    • 1
  1. 1.The Johns Hopkins UniversityBaltimoreUSA

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