Partly three-dimensional calculation of silicon Czochralski growth with a transverse magnetic field

2007 ◽  
Vol 303 (1) ◽  
pp. 135-140 ◽  
Author(s):  
Koichi Kakimoto ◽  
Lijun Liu
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Three Dimensional ◽  
Transverse Magnetic ◽  
Czochralski Growth

Stability of the compressible viscous fluid around the plane Couette flow in the presence of a transverse uniform magnetic field

2018 ◽  
Vol 17 (01) ◽  
pp. 57-84
Author(s):  
Xingwei Zhang ◽  
Guojing Zhang ◽  
Hai-Liang Li
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Couette Flow ◽  
Transverse Magnetic Field ◽  
Initial Perturbation ◽  
Three Dimensional ◽  
Transverse Magnetic ◽  
Plane Couette Flow ◽  
Compressible Viscous Fluid ◽  
The Stability

In this paper, we consider the stability of three-dimensional compressible viscous fluid around the plane Couette flow in the presence of a uniform transverse magnetic field and show that the uniform transverse magnetic field has a stabilizing effect on the plane Couette flow. Namely, for a sufficiently large Hartmann number, the compressible viscous plane Couette flow is nonlinear stable for small Mach number and arbitrary Reynolds number so long as the initial perturbation is small enough.

Nonlinear solutions of modified plane Couette flow in the presence of a transverse magnetic field

1996 ◽  
Vol 307 ◽  
pp. 231-243 ◽  
Author(s):  
M. Nagata
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Critical Reynolds Number ◽  
Three Dimensional ◽  
Transverse Magnetic ◽  
Finite Amplitude ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Nonlinear Solutions

A nonlinear analysis is performed numerically for the motion of an electrically conducting fluid between parallel plates in relative motion when a transverse magnetic field is applied. It is found that steady three-dimensional finite-amplitude solutions exist even when the linear analysis predicts an infinite critical Reynolds number.

Sign in / Sign up

Export Citation Format

Share Document