Weakly nonlinear Marangoni instability in the presence of a magnetic field: effect of the boundary conditions and magnetic Prandtl number

2001 ◽  
Vol 28 (2) ◽  
pp. 111-125 ◽  
Author(s):  
Svetla P Miladinova ◽  
Slavtcho G Slavtchev
2004 ◽  
Vol 02 (02) ◽  
pp. 145-159 ◽  
Author(s):  
ISOM H. HERRON

The stability of viscous flow between rotating cylinders in the presence of a constant axial magnetic field is considered. The boundary conditions for general conductivities are examined. It is proved that the Principle of Exchange of Stabilities holds at zero magnetic Prandtl number, for all Chandrasekhar numbers, when the cylinders rotate in the same direction, the circulation decreases outwards, and the cylinders have insulating walls. The result holds for both the finite gap and the narrow gap approximation.


2019 ◽  
Author(s):  
A. Vanav Kumar ◽  
L. Jino ◽  
M. Berlin ◽  
Prases Kumar Mohanty

2004 ◽  
Vol 9 (2) ◽  
pp. 129-138
Author(s):  
J. Kleiza ◽  
V. Kleiza

A method for calculating the values of specific resistivity ρ as well as the product µHB of the Hall mobility and magnetic induction on a conductive sample of an arbitrary geometric configuration with two arbitrary fitted current electrodes of nonzero length and has been proposed an grounded. During the experiment, under the constant value U of voltage and in the absence of the magnetic field effect (B = 0) on the sample, the current intensities I(0), IE(0) are measured as well as the mentioned parameters under the effect of magnetic fields B1, B2 (B1 ≠ B2), i.e.: IE(β(i)), I(β(i)), i = 1, 2. It has been proved that under the constant difference of potentials U and sample thickness d, the parameters I(0), IE(0) and IE(β(i)), I(β(i)), i = 1, 2 uniquely determines the values of the product µHB and specific resistivity ρ of the sample. Basing on the conformal mapping method and Hall’s tensor properties, a relation (a system of nonlinear equations) between the above mentioned quantities has been found.


2015 ◽  
Vol 51 (2) ◽  
pp. 345-352 ◽  
Author(s):  
R. Kowalik ◽  
K. Mech ◽  
D. Kutyla ◽  
T. Tokarski ◽  
P. Zabinski

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