Analysis of Current and Magnetic Field Distributions in Rail Launcher With Peaceman–Rachford Finite-Difference Method

2012 ◽  
Vol 40 (10) ◽  
pp. 2717-2722 ◽  
Author(s):  
Zhanzhong Pang ◽  
Housheng Wang ◽  
Hui Wang ◽  
Li Zhang
Keyword(s):  
Magnetic Field ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Field Distributions

scholarly journals Thermal Radiation Effects on Hydromagnetic Mixed Convection Flow along a Magnetized Vertical Porous Plate

2010 ◽  
Vol 2010 ◽  
pp. 1-30 ◽  
Author(s):  
Muhammad Ashraf ◽  
S. Asghar ◽  
Md. Anwar Hossain
Keyword(s):  
Magnetic Field ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Prandtl Number ◽  
Mixed Convection ◽  
Difference Method ◽  
Porous Plate ◽  
Physical Parameters ◽  
Local Skin ◽  
Vertical Porous Plate

Aim of the present work is to investigate the effect of radiation on steady mixed convection boundary layer flow of viscous, incompressible, electrically conducting fluid past a semi-infinite magnetized vertical porous plate with uniform transpiration and variable transverse magnetic field along the surface. The equations governing the flow magnetic and temperature field are reduced to dimensionless convenient form using the free variable transformations and solved numerically by using finite difference method. Effects of physical parameters like Prandtl number, Pr, the conduction-radiation parameterRd, magnetic field parameterS, magnetic Prandtl numberPm, mixed convection parameterλ, and the surface temperature,θwon the local skin friction coefficientCfx, local Nusselt number,Nux, and coefficient of magnetic intensity,Mgxagainst the local transpiration parameterξare shown graphically. Later, the problem is analysed by using series solution for small and large values ofξ, and the results near and away from the leading edge are compared with numerical results obtained by finite difference method and found to be in good agreement.

Finite-difference method applied for eight-band kp model for Hg1−xCdxTe/HgTe quantum well

2017 ◽  
Vol 31 (20) ◽  
pp. 1750137 ◽  
Author(s):  
Michał Marchewka
Keyword(s):  
Magnetic Field ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Quantum Well ◽  
Quantum Wells ◽  
Difference Method ◽  
Complete Agreement ◽  
Double Quantum ◽  
Multiple Quantum ◽  
Wide Range

In this work the finite-difference method (FDM) is presented for the undoped Hg[Formula: see text]CdxTe/HgTe quantum well (QW) which allows to calculate the band structures based on Kane’s 8 × 8 kp model including all second-order terms representing the remote-band contributions. In particular the common central-difference form is employed in the discretization procedure. The FDM is applied in the envelope function approach (EFA) for the [001]-oriented system for two cases: without a magnetic field ([Formula: see text] = 0) and with a magnetic field perpendicular to the layer ([Formula: see text]). A proposed presented method can solve all the states simultaneously and can be used for a wide range of temperatures and widths of QW for different values of [Formula: see text] for Hg[Formula: see text]CdxTe/HgTe QW as well as for more complex structures, e.g., asymmetric QW, double quantum wells (DQWs), multiple quantum wells (MQWs) and for the so-called 3D topological insulator with a strained HgTe layer. The results obtained by this method are in a complete agreement with the previous ones. Based on that it is shown that the different [Formula: see text]–Cd compounds in the barrier as well as in the QW make the critical width different than 6.4 nm for HgTe QW. What is also very interesting from the application point of view of the strained mixed HgCdTe QW is that for a different width and a different mismatch lattice it is possible to observe the influence of the upper and lower parts of the Dirac cone in, e.g., a magneto-transport experiment.

scholarly journals MHD Flow between Two Parallel Plates under the Influence of Inclined Magnetic Field by Finite Difference Method

2019 ◽  
Vol 8 (12) ◽  
pp. 4106-4111
Keyword(s):  
Magnetic Field ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Fluid Velocity ◽  
Mhd Flow ◽  
Inclined Magnetic Field ◽  
Parallel Plates ◽  
Governing Equations ◽  
Magnetic Strength

This study investigates the MHD flow between two parallel infinite plates. Here the upper plate is moving with constant velocity and the lower plate is held stationary and a constant pressure gradient is applied to the system which is under the influence of an inclined magnetic field. The governing equations are formulated and transformed into non dimensional form. Numerical solution of the transformed governing equations are obtained using the Finite Difference method. The fluid velocity at different inclinations of the magnetic field and different strengths of magnetic field have been shown graphically and it has been observed that the increase in the angle of inclination leads to a decrease in fluid velocity and also an increase in magnetic strength leads to a decrease in the velocity profile.

NUMERICAL COMPUTATION OF A TWO-DIMENSIONAL BIOMAGNETIC CHANNEL FLOW

2012 ◽  
Vol 09 ◽  
pp. 178-192 ◽  
Author(s):  
NURSALASAWATI RUSLI ◽  
AHMAD KUEH BENG HONG ◽  
ERWAN HAFIZI KASIMAN ◽  
AIRIL YASREEN MOHD YASSIN ◽  
NORSARAHAIDA AMIN
Keyword(s):  
Magnetic Field ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Fundamental Problem ◽  
Flow Profile ◽  
Asymmetric Flow ◽  
Magnetic Source ◽  
Spatially Varying ◽  
Biomagnetic Fluid

The present paper studies the fundamental problem of the biomagnetic fluid flow in a channel under the influence of a spatially varying magnetic field. The solution of the problem is obtained using an improved finite difference method. This approach has successful handled the pressure of the flow which is the main problem in the finite difference method. Results concerning the velocity indicates that the presence of magnetic field appreciably influence the flow field. A distortion in terms of asymmetric flow profile was observed near the magnetic source. Also a vortex is demonstrated near the lower plate where the magnetic source is placed.

Sign in / Sign up

Export Citation Format

Share Document