In the present paper we provide the decomposition and local estimates for the pressure function for the non-stationary flow of incompressible non-Newtonian fluids in Orlicz spaces. We show that this method can be applied to prove the existence of weak solutions to the problem of motion of one or several rigid bodies in a non-Newtonian incompressible fluid with growth conditions given by an N -f...

The steady hydromagnetic flow in a porous medium of an incompressible viscous electrically conducting non-Newtonian fluid above an infinite rotating porous disk is studied with heat transfer. An external uniform magnetic field is applied perpendicular to the disk and a uniform injection or suction is applied through the surface of the disk. Numerical solutions of the nonlinear governing equatio...

The aim of this paper is to present a possible approach to modeling the influence of clot formation on blood flow in a vessel. The modeling framework adopted in this work is based on a modification of the fluid viscosity within the clot area. A non-Newtonian blood flow model in a three-dimensional straight vessel is considered and its numerical solution is obtained using a finite-volume method....