Method for multi-axis, non-contact mixing of magnetic particle suspensions
View Patent ↗Continuous, three-dimensional control of the vorticity vector is possible by progressively transitioning the field symmetry by applying or removing a dc bias along one of the principal axes of mutually orthogonal alternating fields. By exploiting this transition, the vorticity vector can be oriented in a wide range of directions that comprise all three spatial dimensions. Detuning one or more field components to create phase modulation causes the vorticity vector to trace out complex orbits of a wide variety, creating very robust multiaxial stirring. This multiaxial, non-contact stirring is particularly attractive for applications where the fluid volume has complex boundaries, or is congested.
1. A method for non-contact mixing a suspension of magnetic particles, comprising:
providing a fluidic suspension of magnetic particles;
applying a triaxial magnetic field to the fluidic suspension, the triaxial magnetic field comprising three mutually orthogonal magnetic field components, at least two of which are ac magnetic field components wherein the frequency ratios of the at least two ac magnetic field components are rational numbers, thereby establishing vorticity in the fluidic suspension having an initial vorticity axis parallel to one of the mutually orthogonal magnetic field components; and
progressively transitioning a symmetry of the triaxial magnetic field to a different symmetry, thereby causing the vorticity axis to reorient from the initial vorticity axis to a vorticity axis parallel to a different mutually orthogonal magnetic field component.
2. The method of claim 1 , wherein a volume fraction of magnetic particles is greater than 0 volume % and less than 64 volume %.
3. The method of claim 1 , wherein the magnetic particles are spherical, acicular, platelet or irregular in form.
4. The method of claim 1 , wherein the magnetic particles are suspended in a Newtonian or non-Newtonian fluid or suspension that enables vorticity to occur at an operating field strength of the triaxial magnet.
5. The method of claim 1 , wherein the strength of each of the magnetic field components is greater than 5 Oe.
6. The method of claim 1 , wherein the frequencies of the at least two ac field components is between 5 and 10000 Hz.
7. The method of claim 1 , further comprising detuning the ac frequency along at least one of the ac magnetic field components.
8. The method of claim 1 , further comprising adjusting the relative phase of at least one of the ac magnetic field components.
9. The method of claim 1 , wherein the triaxial magnetic field comprises three mutually orthogonal ac magnetic field components, thereby establishing vorticity in the fluidic suspension having an initial vorticity axis parallel to one of the ac magnetic field components; and wherein progressively transitioning the symmetry of the triaxial magnetic field comprises progressively replacing one of the three mutually orthogonal ac magnetic field components with a dc magnetic field component.
10. The method of claim 9 , wherein the three ac magnetic field components have different relative ac frequencies l, m, and n, wherein l, m, and n are integers having no common factors and wherein the ac frequency ratios l:m:n are rational numbers.
11. The method of claim 10 , wherein one of l, m, and n has a unique numerical parity and wherein the initial direction of the vorticity axis is parallel to the ac magnetic field component that has the unique numerical parity.
12. The method of claim 11 , wherein two of the ac frequencies are odd and the third ac frequency is even and wherein the initial direction of the vorticity axis is parallel to the even field axis.
13. The method of claim 12 , wherein the dc field is applied to one of the odd field axes, thereby causing the vorticity axis to reorient from the initial direction parallel to the even field axis to a direction parallel to the other odd field axis.
14. The method of claim 11 , wherein two of the ac frequencies are even and the third ac frequency is odd and wherein initial direction of the vorticity axis is parallel to the odd field axis.
15. The method of claim 14 , wherein the dc field is applied to the odd field axis, thereby causing the vorticity axis to reorient from the initial direction parallel to the odd field axis to a direction parallel to one of the even field axes.
16. The method of claim 11 , wherein all three of the ac frequencies are odd and wherein the dc field is applied to one of the odd field axes.
17. The method of claim 1 , wherein the triaxial magnetic field comprises two mutually orthogonal ac magnetic field components and one mutually orthogonal dc magnetic field component, thereby establishing vorticity in the fluidic suspension having an initial vorticity axis parallel to one of the ac magnetic field components; and wherein transitioning the symmetry of the triaxial magnetic field comprises progressively replacing the mutually orthogonal dc magnetic field component with an ac magnetic field component.
18. The method of claim 17 , wherein the two ac magnetic fields have different ac frequencies l and m, wherein l and m are relatively prime and wherein the frequency ratio l:m is a rational number and wherein at least one of l and m is odd.
19. The method of claim 18 , wherein only one of l and m is odd and wherein the initial direction of the vorticity axis is parallel to the odd field axis.
20. The method of claim 18 , wherein both l and m are odd and wherein the initial direction of the vorticity axis is parallel to the dc magnetic field component.