Flows driven by a traveling magnetic field

J. Crystal Growth, 2005, vol. 279, pp. 276-288



 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Electromagnetic force versus a for g=1

 

Electromagnetic force versus g for a=1

 

Steady states for g=1  and  for  a=1

 

Results of 3D stability studies:

 

Marginal stability curves: 

    A=1, g=1;   A=2, g=1;   A=3, g=1;   A=4, g=1;  

    A=1, a=1;  A=2, a=1;  A=3, a=1;  A=4, a=1; 

 

Stability diagrams 

    g=1, A=2,3, and 4, 1≤a≤2;   g=1, A=1;   

    g=1, A=2, 0≤a≤20;  g=1, A=3,4, 0≤a≤20;      

    a=1, A=1, 0≤g≤20;  a=1, A=2, 0≤a≤20;

    a=1, A=3,4, 0≤g≤20      

Amplitudes of the most unstable perturbations for g=1.

Animations made for the visualization of 3D perturbations:

A=1, a=1:    meridional cross-section,  axial cross-section

A=1, a=10:  meridional cross-section,  axial cross-section

A=1, a=20:  meridional cross-section,  axial cross-section

A=2, a=1:    meridional cross-section,  axial cross-section

A=2, a=5:    meridional cross-section,  axial cross-section

A=2, a=10:  meridional cross-section,  axial cross-section

A=2, a=20:  meridional cross-section,  axial cross-section

A=3, a=1:    meridional cross-section,  axial cross-section

A=3, a=10:  meridional cross-section,  axial cross-section

A=4, a=1:    meridional cross-section,  axial cross-section

A=4, a=10:  meridional cross-section,  axial cross-section

See Ref. 34

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