The field of fluid mechanics was further explored through the use of a particle-in-cell model
for the mathematical study of the Stokes axisymmetric flow through a swarm of erythrocytes …

The susceptibility of the human Red Blood Cells (RBCs) under the action of magnetic fields,
either serves as a biomarker in medical tests, eg. Magnetic Resonance Imaging, Nuclear …

In this paper, we investigate the impact of an inclined magnetic field of uniform intensity on
viscous, incompressible pressure-driven Stokes flow through a slip-patterned, rectangular …

The blood plasma flow through a swarm of red blood cells in capillaries is modeled as an
axisymmetric Stokes flow within inverted prolate spheroidal solid-fluid unitary cells. The solid …

The eigenfunctions of the axisymmetric Stokes flow operator in the inverted prolate
spheroidal system of coordinates are derived analytically, while an analytical method for the …

Arteriosclerosis is a disease in which the artery walls get thicker and harder. Atherosclerosis
is a specific form of arteriosclerosis which allows less blood to travel through the artery and …

The purpose of this chapter is the mathematical study of the perturbation of a homogeneous
static magnetic field caused by the embedding of a red blood cell. Analytical expressions for …

When studying axisymmetric particle fluid flows, a scalar function, ψ, is usually employed,
which is called a stream function. It serves as a velocity potential and it can be used for the …

For Stokes flow in non spherical geometries, when separation of variables fails to derive
closed form solutions in a simple product form, analytical solutions can still be obtained in an …

When studying problems of axisymmetric fluid flows, a scalar function, is usually employed,
namely a stream function through which, the vector velocity function can be derived. The …