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Nonlinear fluid behavior: from shear thinning to shear thickening

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  • Hess, Ortwin
  • Hess, Siegfried

Abstract

A phenomenological model is introduced which describes both shear thinning and shear thickening behavior. Consequences of this model are presented for plane Couette (simple shear) flow. The non-Newtonian viscosity and normal pressure differences are discussed for a stationary situation. The dynamic behavior - stress growth and relaxation - is analyzed. A stress hysteresis is found in the shear thickening regime. The model is also applied to the vorticity free planar (biaxial) deformational and (uniaxial) elongational flow geometries.

Suggested Citation

  • Hess, Ortwin & Hess, Siegfried, 1994. "Nonlinear fluid behavior: from shear thinning to shear thickening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(4), pages 517-540.
    • Handle: RePEc:eee:phsmap:v:207:y:1994:i:4:p:517-540
    DOI: 10.1016/0378-4371(94)90208-9
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    Cited by:

    1. Avila-de la Rosa, G. & Carrillo-Navas, H. & Echeverría, J.C. & Bello-Pérez, L.A. & Vernon-Carter, E.J. & Alvarez-Ramirez, J., 2015. "Mechanisms of elastic turbulence in gelatinized starch dispersions," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 29-38.
    2. Shahzadi, Iqra & Ahsan, Naveed & Nadeem, S. & Issakhov, Alibek, 2020. "Analysis of bifurcation dynamics of streamlines topologies for pseudoplastic shear thinning fluid: Biomechanics application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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