Abstract. This paper deals with axisymmmetry breaking instabilities in Czochralski process of crystal growth. Numerical linear stability analysis was carried out using the axisymmetric bulk flow model. Stability diagrams of critical Grashof numbers Grc and frequencies ωc dependent on aspect ratio α(=height/radius), 0.4 ≤ α ≤ 1.0 and Prandtl number Pr = 0.01 are shown. Computations were carried ...

The Navier–Stokes equations for incompressible flows past a two–dimensional sphere are considered in this article. The existence of an inertial form of the equations is established. Furthermore for the first time for fluid equations, we derive an upper bound on the dimension of the differential system (inertial manifold) which fully reproduces the infinite dimensional dynamics. This bound is ex...

The aim of this investigation is to study the effect of hall current on an unsteady natural convective flow of a viscous, incompressible, electrically conducting optically thick radiating fluid past a vertical porous plate in the presence of a uniform transverse magnetic field. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Analytical a...

Numerical study of double-diffusive natural convective heat transfer in a curved cavity filledwith a porous medium has been carried out in the current study. Polar system has beenselected as coordinate system. As a result, all equations have been discredited in r and θdirections. Brinkmann extended Darcy model has been utilized to express fluid flow inporous matrix in the enclosure. Smaller and...

In the present study, slow and steady flow of Newtonian fluid in presence heat transfer annular region formed by two concentric ellipses is considered. The z-plane are mapped to circles ζ-plane using conformal transformation. Analytical solutions for velocity temperature obtained same graphically depicted. effects dimensionless parameter such as Grashof number Gr, flux β, initial at wall inner ...

Direct numerical simulations and linear stability analysis are carried out to study mixed convection in a horizontal duct with constant-rate heating applied at the bottom an imposed transverse magnetic field. A two-dimensional approximation corresponding asymptotic limit of very strong field effect is validated applied, together full three-dimensional analysis, investigate flow's behaviour prev...

In this paper, we have studied the effect of radiation, magnetic field on the mixed convection flow of a magneto-micropolar fluid past a continuously moving surface with suction and blowing. The governing equations have been reduced to a system of nonlinear ordinary differential equations by similarity transformations, which have been solved numerically using finite difference method. The effec...

In this paper, we consider the constructive equations of fractional second-grade fluid. The considered fluid model is described by Caputo derivative. problem consists to determine exact analytical solution using Laplace transform method. influence order used operator has been presented in paper. We also analyze Prandtl number dynamics temperature distribution according variation impact paramete...

A study on Magnetohydrodynamic (MHD) flow past an accelerated vertical plate with the effects of thermal radiation and chemical reaction has been carried out. The dimensionless governing equations are solved using Laplace transform technique. solution for velocity, temperature concentration field obtained analyzed different physical parameters like Grashof Number, Modified permeability paramete...

The flow near the trailing edge of a horizontal heated plate which is aligned under a small angle of attack φ to the oncoming parallel flow with velocity U∞ in the limit of large Reynolds Re and large Grashof Gr = gβ∆TL3/ν2 number will be investigated (see figure 1). As usual β and ν denote the isobaric expansion coefficient and the kinematic viscosity, respectively. The difference between the ...