Mathematical issues concerning the Navier–Stokes equations and some of its generalizations

J Málek, KR Rajagopal - Handbook of differential equations: evolutionary …, 2005 - Elsevier
This chapter primarily deals with internal, isothermal, unsteady flows of a class of
incompressible fluids with both constant and shear or pressure dependent viscosity that …

The Fåhræus-Lindqvist effect in small blood vessels: how does it help the heart?

M Ascolese, A Farina, A Fasano - Journal of Biological Physics, 2019 - Springer
The Fåhræus-Lindqvist effect is usually explained from a physical point of view with the so-
called Haynes' marginal zone theory, ie, migration of red blood cells (RBCs) to a core layer …

A continuum mechanics model for the Fåhræus-Lindqvist effect

A Farina, F Rosso, A Fasano - Journal of Biological Physics, 2021 - Springer
The decrease in apparent relative viscosity that occurs when blood is made to flow through a
tube whose diameter is less than about 0.3 mm is a well-known and documented …

Mathematical properties of the solutions to the equations governing the flow of fluids with pressure and shear rate dependent viscosities

J Málek, KR Rajagopal - Handbook of mathematical fluid …, 2007 - books.google.com
A meaningful discussion of the mathematical properties of the equations governing the flow
of fluids first requires a proper understanding of what we mean by a fluid as well as a clear …

[HTML][HTML] New Approaches to Determining the D/H Ratio in Aqueous Media Based on Diffuse Laser Light Scattering for Promising Application in Deuterium-Depleted …

AV Syroeshkin, EV Uspenskaya, OV Levitskaya… - Scientia …, 2024 - mdpi.com
The development of affordable and reliable methods for quantitative determination of stable
atomic nuclei in aqueous solutions and adjuvant agents used in tumor chemotherapy is an …

Entrance flow of a suspension and particles migration towards the vessel center

S Guadagni, A Farina - International Journal of Non-Linear Mechanics, 2020 - Elsevier
We investigate the entrance flow of a suspension modeled as a single inhomogeneous fluid.
The inhomogeneity is due to non-uniform particles distribution on the vessel cross section …

Effects of variable viscosity on pulsatile flow of blood in a tapered stenotic flexible artery

S Mukhopadhyay, MS Mandal… - … Methods in the …, 2019 - Wiley Online Library
The objective of the present study is to investigate the effects of variable viscosity on
incompressible laminar pulsatile flow of blood through an overlapping doubly constricted …

Thin-film flow of an inhomogeneous fluid with density-dependent viscosity

L Fusi, A Farina, F Rosso, K Rajagopal - Fluids, 2019 - mdpi.com
In this paper, we study the pressure-driven thin film flow of an inhomogeneous
incompressible fluid in which its viscosity depends on the density. The constitutive response …

[PDF][PDF] Criticality and thermal explosion in the flow of reactive viscous third grade fluid flow in a cylindrical pipe with surface cooling

H Ogunseye, SS Okoya - Journal of the Nigerian Mathematical Society, 2017 - jnms.ictp.it
This work investigates the steady state momentum and heat transfer in a fully developed
flow of viscous third-grade fluid through a cylindrical pipe, such that the general spatial …

Bingham fluid with viscosity and yield stress depending on the density

L Fusi, A Farina - International Journal of Non-Linear Mechanics, 2020 - Elsevier
In this note we present a mathematical model for the channel flow of a Bingham fluid in
which the rheological parameters are not constant. We consider two different situations:(i) …