FLOW IN A PRECESSING SPHERICAL ENCLOSURE. II. LOW VISCOSITY.
CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
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The flow of an incompressible fluid of low viscosity within a precessing spherical enclosure is treated in the linear approximation which requires a small precessional speed or a small angle between the precession and rotation vectors. An approximate solution to the problem is obtained by matching a boundary layer flow to a suitable interior flow. Two flow regimes exist, depending on whether the precession is fast or slow. This latter case presents some interesting phenomena, associated with a breakdown in the boundary layer equations and the change from an elliptic to a hyperbolic system of equations that describe the interior flow. The Bondi-Lyttleton problem of flow within a spherical enclosure that is precessing at an extremely low rate is discussed in detail. Author
- Fluid Mechanics