Journal
PHYSICAL REVIEW E
Volume 79, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.066309
Keywords
boundary-value problems; hydrophobicity; laminar flow; rotational flow; slip flow
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Calculations of force and torque on a sphere with inhomogeneous slip boundary conditions are presented. A theoretical approach introduced previously is employed to explicitly explore two types of azimuthally symmetric boundary-condition patterning of high practical importance. The first is a discontinuous binary surface while the second involves continuously varying slip patterned in stripes, with arbitrary periodicity. These geometries mimic anisotropic spheres, as well as superhydrophobic surfaces applied to a sphere. The dynamics apply for unbounded uniform flow and pure rotational flow of a Newtonian fluid at low Reynolds number. In unbounded uniform flow, torque is maximized for an ideal Janus sphere with a discontinuous equatorial transition between regions of slip and no slip.
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