Numerical Analysis of an Electromagnetic CZ-Si Growth Process by 3D Global Modeling

2005 ◽  
Author(s):  
Lijun Liu ◽  
Satoshi Nakano ◽  
Koichi Kakimoto
Keyword(s):  
Mass Transfer ◽  
Electric Current ◽  
Heat And Mass Transfer ◽  
Growth Process ◽  
Three Dimensional ◽  
Transverse Magnetic ◽  
Thermal Flow ◽  
Global Modeling ◽  
Silicon Melt ◽  
Crystal Interface

Three-dimensional (3D) thermal flow of silicon melt in an electromagnetic Czochralski (CZ) system was numerically investigated with a recently developed 3D global model. The electromagnetic CZ system was established with a transverse magnetic field and an injected electric current applied on the melt surface. Different azimuthal and radial positions of the electrode on the melt surface were taken into account to investigate their influences on the heat and mass transfer in the melt, as well as on the melt-crystal interface. The influence of the electric current direction on the melt flow pattern and temperature distribution was also demonstrated. The results showed that the position of the electrode on the melt surface and the direction of the applied electric current play an important role in controlling the heat and mass transfer in the silicon melt.

scholarly journals Convective heat and mass transfer in a non-Newtonian-flow formation in Couette motion in magnetohydrodynamics with time-varing suction

2011 ◽  
Vol 15 (3) ◽  
pp. 749-758 ◽  
Author(s):  
Faiza Salama
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Perturbation Technique ◽  
Transverse Magnetic ◽  
Integration Scheme ◽  
Stream Velocity ◽  
Grashof Number ◽  
Moving Wall ◽  
Pressure Parameter

An analysis is carried out to study the effect of heat and mass transfer on a non-Newtonian-fluid between two infinite parallel walls, one of them moving with a uniform velocity under the action of a transverse magnetic field. The moving wall moves with constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. Time-dependent wall suction is assumed to occur at permeable surface. The governing equations for the flow are transformed into a system of nonlinear ordinary differential equations by perturbation technique and are solved numerically by using the shooting technique with fourth order Runge-Kutta integration scheme. The effect of non-Newtonian parameter, magnetic pressure parameter, Schmidt number, Grashof number and modified Grashof number on velocity, temperature, concentration and the induced magnetic field are discussed. Numerical results are given and illustrated graphically for the considered Problem.

Heat and Mass Transfer during Drying of Clay Ceramic Materials: A Three-Dimensional Analytical Study

2017 ◽  
Vol 10 ◽  
pp. 93-106 ◽  
Author(s):  
M.K. Teixeira de Brito ◽  
D.B. Teixeira de Almeida ◽  
A.G. Barbosa de Lima ◽  
L. Almeida Rocha ◽  
E. Santana de Lima ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Analytical Study ◽  
Separation Of Variables ◽  
Three Dimensional ◽  
Ceramic Materials ◽  
Governing Equations ◽  
Convective Boundary ◽  
Good Agreement

This work aims to study heat and mass transfer in solids with parallelepiped shape with particular reference to drying process. A transient three-dimensional mathematical model based on the Fick ́s and Fourier ́s Laws was developed to predict heat and mass transport in solids considering constant physical properties and convective boundary conditions at the surface of the solid. The analytical solution of the governing equations was obtained using the method of separation of variables. The study was applied in the drying of common ceramic bricks. Predicted results of the heating and drying kinetics and the moisture and temperature distributions inside the material during the process, are compared with experimental data and good agreement was obtained. It has been found that the vertices of the solid dry and heat first. This provokes thermal and hydric stresses inside the material, which may compromise the quality of the product after drying.

Exploration of Chemical Reaction Effects on Entropy Generation in Heat and Mass Transfer of Magneto-Jeffery Liquid

2018 ◽  
Vol 16 (9) ◽  
Author(s):  
R. Mohapatra ◽  
B. Mahanthesh ◽  
B.J. Gireesha ◽  
S.R. Mishra
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Chemical Engineering ◽  
Numerical Solutions ◽  
Ceramic Materials ◽  
Transverse Magnetic ◽  
Cross Diffusion ◽  
Order Chemical Reaction ◽  
First Order Chemical Reaction

AbstractIn many chemical engineering processes, a chemical reaction between a foreign mass and the fluid does occur. These processes find relevance in polymer production, oxidation of solid materials, ceramics or glassware manufacturing, tubular reactors, food processing, and synthesis of ceramic materials. Therefore, an exploration of homogeneous first-order chemical reaction effects on heat and mass transfer along with entropy analysis of Jeffrey liquid flow towards a stretched isothermal porous sheet is performed. Fluid is conducting electrically in the company of transverse magnetic field. Variations in heat and mass transfer mechanisms are accounted in the presence of viscous dissipation, heat source/sink and cross-diffusion aspects. The partial differential equations system governing the heat transfer of Jeffery liquid is reformed to the ordinary differential system through relevant transformations. Numerical solutions based on Runge-Kutta shooting method are obtained for the subsequent nonlinear problem. A parametric exploration is conducted to reveal the tendency of the solutions. The present study reveals that the Lorentz force due to magnetism can be used as a key parameter to control the flow fields. Entropy number is larger for higher values of Deborah and Brinkman numbers. It is also established that the concentration species field and its layer thickness of the Jeffery liquid decreases for a stronger chemical reaction aspect. To comprehend the legitimacy of numerical results a comparison with the existing results is made in this exploration and alleged an admirable agreement.

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