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The general problems of particle motion in the vicinity of a flat, non-deforming fluid interface is studied. The approximate singularity method used by previous workers in this research group has been generalized to consider the motion of a sphere in any linear velocity field compatible with the existence of the undisturbed flat interface, and the motion of slender rod-like particles which undergo an arbitrary translation or rotation in either a quiescent fluid or in a linear flow. The theory yields the hydrodynamic mobility tensors which are necessary to describe Brownian movement near a phase boundary, as well as general trajectory equations for sedimenting particles near a fluid interface with an arbitrary viscosity ratio. These approximate solution results are in good agreement with both exact-solutions where they are available and experimental data for motion of a sphere near a rigid plane wall. Among the most interesting results for motion of slender bodies is the generalization of Jeffery orbit equations for linear simple shear flow.

The general problems of particle motion in the vicinity of a flat, non-deforming fluid interface is studied. The approximate singularity method used by previous workers in this research group has been generalized to consider the motion of a sphere in any linear velocity field compatible with the existence of the undisturbed flat interface, and the motion of slender rod-like particles which undergo an arbitrary translation or rotation in either a quiescent fluid or in a linear flow. The theory yields the hydrodynamic mobility tensors which are necessary to describe Brownian movement near a phase boundary, as well as general trajectory equations for sedimenting particles near a fluid interface with an arbitrary viscosity ratio. These approximate solution results are in good agreement with both exact-solutions where they are available and experimental data for motion of a sphere near a rigid plane wall. Among the most interesting results for motion of slender bodies is the generalization of Jeffery orbit equations for linear simple shear flow.

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The U.S. Nuclear Regulatory Commission (NRC) is proud to be ranked as the BEST Place to Work in the Federal Government. We've earned our top ratings by creating a work environment rich in opportunity, diversity, leadership training, teamwork, and work life balance. Help guide our
nation into the next generation of nuclear safety! Begin a challenging career with the U.S. Nuclear Regulatory Commission where you can be
part of a select group of professionals who protect people and the environment with the peaceful use of nuclear materials in medicine,

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