What is it about?

Micropolar fluids are non-Newtonian fluids that contain rigid, randomly oriented particles. Such fluids are characterized by the asynchronization of the microrotation (i.e. particles' internal rotation) and the vorticity of the liquid carrier. When the microrotation is equal to the fluid's vorticity, the flow is purely Newtonian, even when microrotation takes non-zero values. In this context, we have explored various mechanisms that can affect the difference between microrotation and vorticity and therefore can influence the micropolar nature of a fluid.

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Why is it important?

We define when two important classes of micropolar fluids with magnetic particles (i.e. ferrofluid and blood) should be modelled as micropolar fluids or when they can be simplified to Newtonian fluids (a common practice found in literature for ferrofluids when no external magnetic field is applied). This brings many benefits associated with a simplified mathematical flow model (such as smaller computational cost and time).

Perspectives

I hope this article will clear the image of when a ferrofluid or a blood flow should be examined with the use of micropolar fluid theory, especially in the case of the application of external magnetic fields. This is very common for bioengineering applications, such as magnetic drug delivery and magnetic hyperthermia.

Kyriaki-Evangelia Aslani
University of West Attica

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This page is a summary of: On the mechanics of conducting micropolar fluids with magnetic particles: Vorticity–microrotation difference, Physics of Fluids, October 2024, American Institute of Physics,
DOI: 10.1063/5.0231232.
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