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Brinkman Viscosity Model

Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory

The effective dynamic viscosity of the suspension, thickening with the total particle volume fraction φ.

Dimension I

Definition

What it is — and what it is not

What it is
  • S1The Brinkman correlation for the effective viscosity of a particle suspension. [1.1]
Attributes
  • S2The effective viscosity increases with the particle volume fraction φ. [1.1]

Dimension II

In practice

How to deal with it

No practical guidance recorded yet.

Sub-topics 2

Related

References

  1. Aziz et al. (2021), DOI 10.1007/s10973-020-10210-2.

    • 1.1

      Article property model — Evidence that the steady comparison article applies a Brinkman-type effective viscosity; Brinkman (1952), seeded separately, remains the primary authority.

      Corroborated

  2. Brinkman (1952), J. Chem. Phys. 20, 571.

    • 2.1

      J. Chem. Phys. 20, 571 — μ_hnf=μ_f(1−φ)^{−2.5}, with the present model explicitly defining φ=φ₁+φ₂ and requiring 0≤φ<1.

      Established
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