ASTR-7500: Animations, Section IV.5.2

Kinematic, linear alpha-omega solutions

The following two animations are the alpha-omega solutions with cylindrical isorotation contours, discussed in Part IV, Section 5.2 of the class notes.

The axisymmetric dynamo solutions are shown in a full meridional quadrant. The color scales codes the toroidal magnetic field strength, normalized to the interval [-1,1]. Yellow-Red is positive toroidal field (pointing into the screen), and Green-Blue negative toroidal field. The contour lines are poloidal fieldlines. Blue fieldlines are clockwise-oriented, and orange fieldlines counterclockwise. The animations cover one full phase of the linear eigensolution, with the phase indicated in yellow at the bottom of the image (the zero point of the phase is arbitrary). Dynamo numbers and the mode eigenvalue (in units of the inverse diffusion time) are listed on top of the image.

The following two animations are for positive and negative dynamo number C_alpha (see eqs. IV.5.7). Both solutions are very close to critical (Re(s)=0). See also Figures IV.5.2, IV.5.3 and IV.5.4 in the class notes.

Click on the images to start the corresponding animation.

Positive C_alpha Negative C_alpha

Return to ASTR7500 homepage. -Written by paulchar@hao.ucar.edu.

-Last Revised 4 August 1997 by paulchar@hao.ucar.edu.