Modeling of an MHD Free Surface Problem Arising in CZ Crystal Growth

نویسنده

  • R. Griesse
چکیده

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 non axisymmetric (fully three-dimensional) flow fields. It accounts for the induced magnetic field and avoids nonrealistic idealized boundary conditions on the magnetic field.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Chemical reaction and radiation effects on MHD free convection flow through a porous medium bounded by a vertical surface with constant heat and mass flux

In the present paper, an analysis was carried out to investigate effects of radiation on a free convection flow bounded by a vertical surface embedded in a porous medium with constant suction velocity. It was under the influence of uniform magnetic field in the presence of a homogenous chemical reaction and viscous dissipation with constant heat and mass flux. The non-dimensional governing equa...

متن کامل

Irreversibility Analysis of MHD Buoyancy-Driven Variable Viscosity Liquid Film along an Inclined Heated Plate Convective Cooling

Analysis of intrinsic irreversibility and heat transfer in a buoyancy-driven changeable viscosity liquid along an incline heated wall with convective cooling taking into consideration the heated isothermal and isoflux wall is investigated. By Newton’s law of cooling, we assumed the free surface exchange heat with environment and fluid viscosity is exponentially dependent on temperature. Appropr...

متن کامل

Heat generation and radiation effects on steady MHD free convection flow of micropolar fluid past a moving surface

This paper was concerned with studying the magnetohydrodynamic steady laminar free convection flow of a micropolar fluid past a continuously moving surface in the presence of heat generation and thermal radiation. Similarity transformation was employed to transform the governing partial differential equations into ordinary ones, which were then solved numerically using the finite element method...

متن کامل

Numerical investigation of free surface flood wave and solitary wave using incompressible SPH method

Simulation of free surface flow and sudden wave profile are recognized as the most challenging problem in computational hydraulics. Several Eulerian/Lagrangian approaches and models can be implemented for simulating such phenomena in which the smoothed particle hydrodynamics method (SPH) is categorized as a proper candidate. The incompressible SPH (ISPH) method hires a precise incompressible hy...

متن کامل

Hybrid Finite-element/finite-volume Method for Integrated Hydrodynamic Thermal Capillary Analysis of Turbulence and Heat Transfer of Czochralski Crystal Growth of Silicon

Modeling turbulent convection in the melt is the most di cult part of the simulation of the transport processes in the growth of large-diameter silicon crystals by the Czochralski (CZ) process. We report the application of hybrid nite-element/ nitevolume methods for the integrated modeling of turbulence in the melt and heat transfer by conduction, convection and radiation throughout the CZ syst...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005