# Ferrofluids and magnetically guided superparamagnetic particles in flows: A review of simulations and modeling

## TL;DR

This review discusses the mathematical modeling of ferrofluids and superparamagnetic particles in flows, highlighting their behavior, applications, and recent advances in simulations relevant to biomedical and engineering fields.

## Contribution

It provides a comprehensive overview of modeling approaches for superparamagnetic particles and ferrofluid flows, emphasizing recent developments and applications.

## Key findings

- Models for nanoparticle motion in drug targeting
- Analysis of ferrofluid drop dynamics
- Insights into ferrofluid film breakage

## Abstract

Ferrofluids are typically suspensions of magnetite nanoparticles, and behave as a homogeneous continuum. The production of nanoparticles with a narrow size distribution and the achievement of colloidal stability are important technological issues. The ability of the ferrofluid to respond to an external magnetic field in a controllable manner has made it emerge as a smart material in a variety of applications, such as seals, lubricants, electronics cooling, shock absorbers and adaptive optics. Magnetic nanoparticle suspensions have also gained attraction recently in a range of biomedical applications, such as cell separation, hyperthermia, MRI, drug targeting and cancer diagnosis. In this review, we provide an introduction to mathematical modeling of three problems: motion of superparamagnetic nanoparticles in magnetic drug targeting, the motion of a ferrofluid drop consisting of chemically bound nanoparticles without a carrier fluid, and the breakage of a thin film of a ferrofluid.