Potential flow of a second-order fluid over a triaxial ellipsoid.
Regularity for doubly nonlinear parabolic equations
Regularity results for parabolic systems related to a class of non-newtonian fluids
Research of a mathematical model of low-concentrated aqueous polymer solutions.
Rheo-Art Application of Fluid Dynamics to Art Creation
Rheological models and hysteresis effects
Rheologies quasi wave number independent in a sphere and splitting the spectral line
The solution of the equations which govern the slow motions (for which the inertia forces are negligible) in an elastic sphere is studied for a great variety of rheological models and surface tractions with rotational symmetry (Caputo 1984a). The solution is expressed in terms of spherical harmonics and it is shown that its time dependent component is dependent on the order of the harmonic. The dependence of the time component of the solution on the order of the harmonic number is studied. The problem...
Shear flows of a new class of power-law fluids
We consider the flow of a class of incompressible fluids which are constitutively defined by the symmetric part of the velocity gradient being a function, which can be non-monotone, of the deviator of the stress tensor. These models are generalizations of the stress power-law models introduced and studied by J. Málek, V. Průša, K. R. Rajagopal: Generalizations of the Navier-Stokes fluid from a new perspective. Int. J. Eng. Sci. 48 (2010), 1907–1924. We discuss a potential application of the new...
Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model
This paper is concerned with the numerical simulation of a thermodynamically compatible viscoelastic shear-thinning fluid model, particularly well suited to describe the rheological response of blood, under physiological conditions. Numerical simulations are performed in two idealized three-dimensional geometries, a stenosis and a curved vessel, to investigate the combined effects of flow inertia, viscosity and viscoelasticity in these geometries....
Singularities, defects and chaos in organized fluids
The singularities occurring in any sort of ordering are known in physics as defects. In an organized fluid defects may occur both at microscopic (molecular) and at macroscopic scales when hydrodynamic ordered structures are developed. Such a fluid system serves as a model for the study of the evolution towards a strong disorder (chaos) and it is found that the singularities play an important role in the nature of the chaos. Moreover both types of defects become coupled at the onset of turbulence....
Solution of some plane filtration problems with partially unknown boundaries.
Solvability of a first order system in three-dimensional non-smooth domains
A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain . On the boundary , the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated.
Solvability of initial boundary value problems for equations describing motions of linear viscoelastic fluids.
Some properties of solutions for the generalized thin film equation in one space dimension.
Some theoretical results concerning non newtonian fluids of the Oldroyd kind
Stability and bifurcation in viscous incompressible fluids
Stability and numerical analysis of the Hébraud-Lequeux model for suspensions.
Stagnation-point flow of the Walters' fluid with slip.
Start-up of channel-flow of a Bingham fluid initially at rest
We present an analytical solution of plane motion for a Bingham fluid initially at rest subjected to a suddenly applied constant pressure gradient. Using the Laplace transform we obtain expressions which allow a direct easy calculation of the velocity, of the plug thickness and of the rate of flow as function of time.
Stationary incompressible bipolar fluids