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Creeping Flow Past a Stationary Sphere

Mark J. McCready
Organization: University of Notre Dame
Department: Department of Chemical Engineering
URL: http://www.nd.edu/~mjm
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This notebook solves Creeping Flow (flows with no inertia) of a stationary sphere on which a uniform flow is impinging. (This is the same problem as a single sphere falling in a stationary fluid of infinite extent.) Both physical and mathematical issues are identified and explored.

This problem is the classic fluid dynamics problem for low Reynolds number flows. Because the solution decays slowly (1/radius) the inertialess restrictions on the solution are not valid at all values of the radius. Hence the first order perturbation problem is singular.

*Science > Physics > Fluid Mechanics

flows with no inertia, low Reynolds number flow, first order perturbation problems,
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creeping_sphere.nb (405.3 KB) - Mathematica 4 Package