Current drug-eluting stent (DES) technology is not optimized with regard to the pharmacokinetics of drug release, more research on the drug-eluting stent design and flux of drug release to the arterial wall is necessary. Considering a three-dimensional (3D) cylindrical mathematical model, a novel free drug mass transfer release has been formulated and applied for better estimation of the drug c...

This paper reviews results about free convection near a vertical flat plate embedded in some saturated porous medium. We focus on a third order autonomous differential equation that gives a special class of solutions called similarity solutions. Two cases are under consideration: in the first one we prescribe the temperature on the plate and in the second one we prescribe the heat flux on it. W...

We discuss single-particle and two-particle statistics in twodimensional turbulent convection in the Bolgiano–Oboukhov regime by means of high-resolution direct numerical simulations. Relative separation of two particles is found to be described well by a generalization of the Richardson diffusion model. Single-particle velocity structure functions are dominated by large-scale eddies and theref...

Computations of Marangoni convection are usually performed in twoor threedimensional domains with rigid boundaries. In two dimensions, allowing the free surface to deform can result in a solution set with a qualitatively different bifurcation structure. We describe a finite-element technique for calculating bifurcations that arise due to thermal gradients in a two-dimensional domain with a defo...

In this communication we deal with the exact solutions called ”pseudosimilarity” of a steady free convection problem studied by by Kumaran and Pop (2006). They showed that there is no similarity solution for the case of a wall temperature as Tw(x) ∼ x 1 2 (resp. a wall heat flux as qw(x) ∼ x 3 2 , and a dimensionless heat transfer coefficient hw(x) ∼ x). We shall present some results about exis...

A free surface problem arising in the Czochralski (CZ) crystal growth process is considered. A mathematical model accounting for the interaction of the molten material with applied and induced magnetic fields, temperature-induced convection, rotating boundaries and a free surface is given. The model described avoids some common simplifying assumptions and allows for more general geometries, and...

In this paper, we consider a model problem introduced in [2], and derived from a coupled system of partial differential equation arising in the study of free convection about a vertical flat plate embedded in a porous medium. In [2], some existence result has been obtained under very constraining hypothesis. Here, we come back to the weak formulation of this problem, and prove that there is one...

Abstract: We investigate the nature of heat transfer and entropy generation for natural convection in a two-dimensional circular section enclosure. The enclosure is assumed to fill with porous media. The Darcy momentum equation is used to model the porous media. The full governing differential equations are simplified with the Boussinesq approximation and solved by a finite volume method. Where...