Phenomenological behavior of multipolar viscous fluids

Bellout, Hamid; Bloom, Frederick; Nečas, Jindřich

doi:10.1090/qam/1178435

Authors: Hamid Bellout, Frederick Bloom and Jindřich Nečas
Journal: Quart. Appl. Math. 50 (1992), 559-583
MSC: Primary 76A05; Secondary 35Q30, 76D05
DOI: https://doi.org/10.1090/qam/1178435
MathSciNet review: MR1178435
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Abstract: A constitutive theory is formulated to describe the flow of viscous fluids: the theory of multipolar fluids exhibits nonlinear relations among the stress tensors and spatial derivatives of the velocity of order greater than one and is compatible with the basic principles of continuum mechanics and thermodynamics. For an isothermal, incompressible, dipolar fluid the velocity profiles for various steady flows, such as proper Poiseuille flow in a circular pipe, are computed; the results are compared with the velocity profiles obtained from the steady Navier-Stokes equations through an application of the Prandtl boundary-layer theory.

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