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We derive the flow field disturbance produced by point viscosity variationsin a heterogeneous fluid when subject to a background flow while neglectingfluid inertia. The disturbance flow field is found to be identical to thatgenerated by a force-dipole called stresslet. Using a combination of theory andnumerical simulations, we show how the hydrodynamics of an active rigidparticle is altered due to the presence of point viscosity variations, and howthis can be exploited to manipulate and steer them in microfluidicenvironments.

Flow field disturbance due to point viscosity variations in a heterogeneous fluid