In this paper, we develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis (1972). We show that energy stability weak solutions to is preserved exactly both semi-discrete and fully discrete solutions. Furthermore, prove existence uniqueness derive optimal error estimates schemes. Numerical experiments confirm theoretical results.

In the present study, the permeability of 11 different iron oxide nanoparticle (IONP) samples (eight fluids and three powders) was determined using an in vitro blood-brain barrier model. Importantly, the results showed that the ferrofluid formulations were statistically more permeable than the IONP powder formulations at the blood-brain barrier, suggesting a role for the presently studied in si...

We theoretically investigate the properties of optical propagation in one-dimensional soft photonic crystals based on ferrofluids using the transfer matrix method. The proposed structure is composed of an alternating ferrofluid layer and a dielectric layer. Ferrofluids are composed of suspended ferromagnetic nanoparticles coated with silver, which has a frequency-dependent dielectric function. ...

This paper reports the investigation of mixing phenomena caused by the interaction between a uniform magnetic field and a magnetic fluid in a microfluidic chamber. The flow system consists of a water-based ferrofluid and a mixture of DI water and glycerol. Under a uniform magnetic field, the mismatch in magnetization of the fluids leads to instability at the interface and subsequent rapid mixin...

The generation of droplets at low Reynolds numbers is driven by nonlinear dynamics that give rise to complex patterns concerning both the droplet-to-droplet spacing and the individual droplet sizes. Here we demonstrate an experimental system in which a time-varying energy landscape provides a periodic magnetic force that generates an array of droplets from an immiscible mixture of ferrofluid an...

A method is presented for the preparation of a biocompatible ferrofluid containing dye-functionalized magnetite nanoparticles that can serve as fluorescent markers. This method entails the surface functionalization of magnetite nanoparticles using citric acid to produce a stable aqueous dispersion and the subsequent binding of fluorescent dyes to the surface of the particles. Several ferrofluid...

OBJECTIVES The objective of this study was to identify an injection strategy leading to repeatable nanoparticle deposition patterns in tumours and to quantify volumetric heat generation rate distribution based on micro-CT Hounsfield unit (HU) in magnetic nanoparticle hyperthermia. METHODS In vivo animal experiments were performed on graft prostatic cancer (PC3) tumours in immunodeficient mice...