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Fundamentals of Rheology

  • V. Kumaran
Chapter

Abstract

Some important fundamental aspects of fluid mechanics and rheology are discussed. First, we examine the basis for the continuum approximation of fluids, and the formulation of equations in the continuum description. Then, we look at stress-strain rate relationships for simple shear flows of both viscous and viscoelastic fluids. The extension of the description to complex flows, which involves the decomposition of the rate of deformation tensor into fundamental components, is discussed. The conservation laws for mass and momentum, and the constitutive relations in the momentum conservation equation are derived. The simple Maxwell model for polymeric fluids, which uses the bead-spring representation of the polymer chain, is discussed.

Keywords

Loss Modulus Maxwell Model Deformation Tensor Strain Rate Tensor Fluid Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Branes HA, Hutton JF, Walters K (1989) An introduction to rheology, Elsevier, AmsterdamGoogle Scholar
  2. 2.
    Bird RB, Stewart WE, Lightfoot EN (2001) Transport phenomena, Wiley, NYGoogle Scholar
  3. 3.
    de Gennes P-G (1979) Scaling concepts in polymer physics, Cornell University Press, NYGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Chemical EngineeringIndian Institute of ScienceBangaloreIndia

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