LINEARIZED FLOW IN ROTATING SYSTEMS.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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The linearized equations governing incompressible, viscous flow which deviates slightly from rapid uniform rotation are treated in a boundary layer approximation. For a number of problems in which the flow is confined to the region between horizontal plates, representations of the solutions, valid everywhere but in vanishingly small corners, are given. Cases where a rigid side wall moves at a velocity which differs from one or both of the plate velocities are treated by means of an integral transform which has many features in common with a Fourier sine-transform. A hueristic derivation of the inversion theorem is given. Author
- Fluid Mechanics