We construct stationary solutions to the barotropic, compressible Euler and NavierStokes equations in several space dimensions with spherical or cylindrical symmetry. For given Dirichlet data on a sphere or a cylinder we first construct smooth and radially symmetric solutions to the Euler equations in the exterior domain. On the other hand, stationary smooth solutions in the interior domain nec...

ABSTRACT. In this paper, we investigate the problem of dynamical behaviors and numerical simulation of the Lorenz-type systems for the incompressible flow between two concentric rotating cylinders. The estimation of Hausdorff dimension of its attractor is discussed, and the globally exponentially attractive set and positive invariant set of the chaotic system are studied via Lyapunov function. ...

The present paper analyzes numerically the entropy generation induced by forced convection in a canonical configuration. The configuration itself includes two well known fluid dynamic problems: (1) an external flow (flow around a cylinder, Kármán flow); and (2) an internal flow (flow between two concentric rotating cylinders, Couette flow). In many daily engineering issues (e.g., cooling of ele...

We present the results of a combined experimental and numerical investigation into steady secondary vortex flows confined between two concentric right circular cylinders. When the flow is driven by the symmetric rotation of both end walls and the inner cylinder, toroidal vortex structures arise through the creation of stagnation points (in the meridional plane) at the inner bounding cylinder or...

A physical system should be in a local equilibrium if it cannot be distinguished from a global equilibrium by “infinitesimally localized measurements”. This seems to be a natural characterization of local equilibrium, however the problem is to give a precise meaning to the qualitative phrase “infinitesimally localized measurements”. A solution is suggested in form of a Local Equilibrium Conditi...

BACKGROUND Abnormalities of cardiac structure and function are common in a wide range of populations including those with and without established clinical cardiovascular disease (CVD). This study reports the prevalence of left ventricular hypertrophy (LVH), the four patterns of LV geometry and establishes clinical characteristics and five-year outcomes of each group in people of advanced age. ...

in this work, the steady and laminar mixed convection of nanofluid in horizontal concentric annulus withrotating inner cylinder is investigated numerically. the inner and outer cylinders are kept at constanttemperature ti and to respectively, where ti>to. the annular space is filled with alumina-water nanofluid.the governing equations with the corresponded boundary conditions in the polar coord...