Ganesh Subramanian

Inertial effects on fibre motion in simple shear flow

The motion of a torque-free slender axisymmetric fibre in simple shear flow is examined theoretically for small but finite

Critical bacterial concentration for the onset of collective swimming

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Inertial effects on the transfer of heat or mass from neutrally buoyant spheres in a steady linear velocity field

, where

Pair velocity correlations among swimming Escherichia coli bacteria are determined by force-quadrupole hydrodynamic interactions

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Inertial effects on the orientation of nearly spherical particles in simple shear flow

is the Reynolds number based on the fibre length, and is a measure of the inertial forces in the fluid. In the limit of zero inertia, an axisymmetric particle in simple shear is known to rotate indefinitely in any of an infinite single-parameter family of periodic orbits, originally found by Jeffery (1922) – a degenerate situation wherein the particular choice of orbit is dictated by the initial orientation of the particle. We use a generalization of the well-known reciprocal theorem for Stokes flow to derive the orbit equations, to

Evolution of clusters of sedimenting low-Reynolds-number particles with Oseen interactions

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Structure and dynamics of dilute suspensions of finite-Reynolds-number settling fibers

, for the slender fibre. The structure of the equations bears some resemblance to those previously derived by Leal (1975) for a neutrally buoyant fibre in a viscoelastic (second-order) fluid. It is thereby shown that fluid inertia, for small

The stability of a homogeneous suspension of chemotactic bacteria

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Trajectory analysis for non-Brownian inertial suspensions in simple shear flow

, leads to a slow

Inertial effects on the rheology of a dilute emulsion

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