On the steady flow of a second-grade fluid between two coaxial porous cylinders.
One-dimensional problem for heat and mass transport in oil-wax solution
A mathematical model of heat and mass transport in non-isothermal partially saturated oil-wax solution was formulated by A. Fasano and M. Primicerio [1]. This paper is devoted to the study of a one-dimensional problem in the framework of that model. The existence of classical solutions in a small time interval is proved, based on the application of a fixed-point theorem to the constructed operator. The technique employed is close to the one of [3] and [4].
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Peristaltic flow of a magneto-micropolar fluid: effect of induced magnetic field.
Peristaltic motion of a Johnson-Segalman fluid in a planar channel.
Planar flows of incompressible heat-conducting shear-thinning fluids — existence analysis
We study the flow of an incompressible homogeneous fluid whose material coefficients depend on the temperature and the shear-rate. For large class of models we establish the existence of a suitable weak solution for two-dimensional flows of fluid in a bounded domain. The proof relies on the reconstruction of the globally integrable pressure, available due to considered Navier’s slip boundary conditions, and on the so-called -truncation method, used to obtain the strong convergence of the velocity...
Regularity for doubly nonlinear parabolic equations
Regularity results for parabolic systems related to a class of non-newtonian fluids
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...
Stability and bifurcation in viscous incompressible fluids
Stability and numerical analysis of the Hébraud-Lequeux model for suspensions.
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
Steady flow of a second-grade fluid in an annulus with porous walls.
Steady plane flow of second-grade fluid in exterior domains
Steady-state buoyancy-driven viscous flow with measure data
Steady-state system of equations for incompressible, possibly non-Newtonean of the -power type, viscous flow coupled with the heat equation is considered in a smooth bounded domain , or 3, with heat sources allowed to have a natural -structure and even to be measures. The existence of a distributional solution is shown by a fixed-point technique for sufficiently small data if (for ) or if (for ).
Sur la stabilité des figures ellipsoïdales d'équilibre d'un liquide animé d'un mouvement de rotation
Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau
Sur une classe de figures d'équilibre d'un liquide en rotation