The floating zone (FZ) method is one of the growth techniques used to grow single crystal materials. FZ growth is achieved in a containerless environment (without a crucible) by the movement of a molten zone of a solid rod, which forms a free-standing liquid bridge between two solid sections. However, the surface tension along the free surface of the molten zone varies due to temperature and co...

Theoretical studies usually attribute convections to the developments of instabilities such as the static or symmetric instabilities of the basic flows. However, the following three facts make the validities of these basic theories unconvincing. First, it seems that in most cases the basic flow with balance property cannot exist as the exact solution, so one cannot formulate appropriate problem...

High-pressure metal hydride vehicular hydrogen storage systems can offer good overall gravimetric and volumetric hydrogen densities. Enhanced heat transfer techniques will be essential to achieve established goals for tank filling times. A numerical model is developed to simulate the hydrogen filling process of a subscale high-pressure metal hydride (Ti1.1CrMn) system. The model is validated by...

A steady-state natural convection in a differentially heated cavity for temperatures in a vicinity of the freezing point is used to investigate and compare performance of four different numerical methods: finite differences, finite volume, finite elements and mesh-free diffuse approximation method. A primary aim of the exercise is to define a new numerical benchmark solution for natural convect...

Some alternatives to the traditional mixing-length theory (MLT) have recently been proposed for modelling convective heat transport inside stars. The ideal formulation is one that does not involve any free parameters. However, in our present state of ignorance we still need at least one free parameter in order to build solar models with the correct radius. Having adjusted this parameter (e.g. t...

We investigate the problem of free convection heat transfer near an isothermal stretching sheet. This has been done under the simultaneous action of buoyancy, radiation, and transverse magnetic field. The governing equations are solved by the shooting method. The velocity and temperature functions are represented graphically for various values of the flow parameters: radiation parameter F, free...

This paper presents an insight into the boundary layer of free convection and heat transfer of nanofluids over a vertical plate at very low and high Prandtl number. Suitable similarity variables are used to convert the governing systems of nonlinear partial differential equations of the flow and heat transfer to systems of nonlinear ordinary differential equations which are solved using multi-s...

The floating zone (FZ) method is one of the growth techniques used to grow single crystal materials. FZ growth is achieved in a containerless environment (without a crucible) by the movement of a molten zone of a solid rod, which forms a free-standing liquid bridge between two solid sections. However, the surface tension along the free surface of the molten zone varies due to temperature and co...