2017
DOI: 10.1016/j.jmmm.2017.08.057
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Magnetic particles guided by ellipsoidal AC magnetic fields in a shallow viscous fluid: Controlling trajectories and chain lengths

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Cited by 5 publications
(3 citation statements)
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“…When f B > f c , we have the asynchronous regime in which the sphere rotates with a mean frequency lower than f B . For ferromagnetic magnetic spheres in an unbounded fluid, in the limit of small Re ω , f c is given by , where m = 4π Mr 3 /3 is the particle’s magnetic moment ( M : sphere’s magnetization), B is the strength of the magnetic field, and γ = 8π μr 3 is the rotational drag coefficient of a sphere in an unbound fluid. For f B > f c , the rotational frequency of the sphere follows With the parameters chosen, eq predicts a critical frequency of f c = 20 Hz.…”
Section: Methodsmentioning
confidence: 99%
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“…When f B > f c , we have the asynchronous regime in which the sphere rotates with a mean frequency lower than f B . For ferromagnetic magnetic spheres in an unbounded fluid, in the limit of small Re ω , f c is given by , where m = 4π Mr 3 /3 is the particle’s magnetic moment ( M : sphere’s magnetization), B is the strength of the magnetic field, and γ = 8π μr 3 is the rotational drag coefficient of a sphere in an unbound fluid. For f B > f c , the rotational frequency of the sphere follows With the parameters chosen, eq predicts a critical frequency of f c = 20 Hz.…”
Section: Methodsmentioning
confidence: 99%
“…When f B > f c , we have the asynchronous regime in which the sphere rotates with a mean frequency lower than f B . For ferromagnetic magnetic spheres in an unbounded fluid, in the limit of small Re ω , f c is given by 48,49…”
Section: ■ Materials and Methodsmentioning
confidence: 99%
“…As the clusters oscillate when they are actuated above their step-out frequency, their average angular velocity decreases. For both permanent and paramagnetic objects [63,64], the average angular velocity is given by:…”
Section: Characterization Of the Step-out Frequencymentioning
confidence: 99%