Remarks on the Flow between Two Parallel Rotating Plates.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The flow of the classical linearly viscous fluid between two infinite parallel planes rotating with constant but different angular velocities about a common axis has received a great deal of attention during the past 60 years. However, until recently the emphasis has been on solutions which are axi-symmetric. Recently, Berker in his study of the flow between parallel planes, rotating with the same constant angular velocities about a common axis exhibited a one parameter family of solutions only one of which is axi-symmetric. In this study, the authors exhibit the existence of a one parameter family of solutions for large viscosities when the planes are rotating with constant but different angular velocities about a common axis or about non-coincident axes.
- Numerical Mathematics
- Fluid Mechanics