CONE ROTATING IN NEWTONIAN LIQUID WHICH HAS A FREE SURFACE.
RENSSELAER POLYTECHNIC INST TROY N Y DEPT OF MECHANICS
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The study represents a generalization of a previously studied problem of the laminar flow induced in a Newtonian liquid by a rotating cone. Using flow visualization techniques and flow timing devices, velocity functions which very precisely define the actual flow were developed. The functions are such that the center line of the vortical motion is correctly located and the flow about it is accurately described. The velocity boundary conditions and the continuity equation are satisfied. The stress field in the liquid was determined from the velocity functions. Using these stress functions, an equation relating the total torque on the cone and its angular velocity was developed so that it agrees with experimental data. The nature of the pressure field is discussed in some detail. Also, with the aid of experimentally determined pressures and theoretically determined shearing stresses the total resultant thrust on the cone was calculated. This thrust was then compared with that measured with a special dynamometer. Author
- Fluid Mechanics