Nonlinear thermal convection in a spherical fluid layer in the presence of spherically symmetric gravity, spherical RayleighBénard convection, is investigated. At the onset of spherical Rayleigh-Bénard convection, there exists the (2l+1)-fold degeneracy of the linear solution, where l is the degree of a spherical harmonics. Nonlinear convection is studied through fully three-dimensional numeric...

In this study, we investigate the semi-real quaternionic curves in the semi-Euclidean space E_4_2. Firstly, we introduce algebraic properties of semi-real quaternions. Then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E42 . Finally, we give an example illustrated with Mathematica Programme.

In this study differently shaped trileaflet valves have been designed and structurally examined by FEM-analysis. Aim of this preliminary work is to choose the valve geometry for the prototyping of a valve in a polyurethane polymer. Mechanical fatigue properties of polyurethane polymers do not provide a good valve durability. We developed new design features, a semi-open configuration at rest fo...

Motivated by a recently developed technique for measuring soft materials properties at the tip of an embedded needle [Zimberlin, et al., Soft Matter, 2007, 3, 763], the mechanics of elasticity- and surface tension-governed void growth within a neo-Hookean material is explored. Previous efforts to describe this technique relied on a hybrid spherical void/spherical cap approximation, thus assumin...

PURPOSE To develop a corneal model to better explain how refractive surgery procedures induce spherical aberration. SETTING Department of Ophthalmology and Center for Visual Science, University of Rochester, Rochester, New York, USA. METHODS The preoperative cornea was modeled as a rotationally symmetric surface with various radii of curvature and asphericities. The postoperative cornea was...