mathematical models for biomagnetic fluid flow and applications

of the magnetic source the friction coefficient is increased substantially due to the action of
the magnetic field. The contours of the stream function, for various magnetic numbers, are
shown in Figures 4-6. The magnet affects the fluid flow and two vortices are created near the
magnetic pole, as the magnetic field strength is increased. The contours of vorticity function
are shown in Figures 7-9 and of temperature function in Figures 10-12. Near the pole we
observe a slight increase of the temperature as a result of additional energy from the magnetic
field of the pole. It should be remarked that in the absence of the magnetic field straight lines
represent temperature, stream as well as the vorticity function. Thus, the formation of these
contours is the result of the action of the applied magnetic field on the flow field. These
results show that in the presence of the magnetic field, the flow field is changing drastically,
and especially the skin friction coefficient, which is affected near the area of the magnetic
pole. These conclusions suggest that a careful choice of the imposed magnetic field will
affect the flow characteristics and hence can be utilized for medical and engineering
applications.
Figure 4. Contours for stream function for Mn=2000
Figure 5. Contours for stream function for Mn=4000
Figure 6. Contours for stream function for Mn=6000
Figure 7. Contours for vorticity function for Mn=2000
Figure 8. Contours for vorticity function for Mn=4000
Figure 9. Contours for vorticity function for Mn=6000