Abstract
The concentration of particles which settle and diffuse while in suspension in a fluid is given as a function of time and position for a dilute suspension which is initially uniformly dispersed in a wide vessel. It is assumed that all particles which strike the surfaces of the container will be absorbed. Solutions are obtained for a liquid with a free surface and also for a gas or liquid which entirely fills the space between two horizontal planes. The solutions occur as eigenfunction expansions and in integral form and numerical results are given for various circumstances.
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