(9e) Axisymmetric Spheroidal Squirmers and Self-Diffusiophoretic Particles
AIChE Annual Meeting
2019
2019 AIChE Annual Meeting
Engineering Sciences and Fundamentals
Active Colloidal Systems
Sunday, November 10, 2019 - 4:30pm to 4:45pm
We study, by means of an exact analytical solution, the motion of a spheroidal, axisymmetric
squirmer in an unbounded fluid, as well as the low Reynolds number hydrodynamic flow associated
to it. In contrast to the case of a spherical squirmer — for which, e.g., the velocity of the squirmer
and the magnitude of the stresslet associated with the flow induced by the squirmer are determined
by the amplitudes of the first two squirming modes — for the spheroidal squirmer basically all the
squirming modes contribute to such observables. The results are straightforwardly extended to the
self-phoresis of axisymmetric, spheroidal, chemically active particles in the case when the phoretic
slip approximation holds.
squirmer in an unbounded fluid, as well as the low Reynolds number hydrodynamic flow associated
to it. In contrast to the case of a spherical squirmer — for which, e.g., the velocity of the squirmer
and the magnitude of the stresslet associated with the flow induced by the squirmer are determined
by the amplitudes of the first two squirming modes — for the spheroidal squirmer basically all the
squirming modes contribute to such observables. The results are straightforwardly extended to the
self-phoresis of axisymmetric, spheroidal, chemically active particles in the case when the phoretic
slip approximation holds.