1992Reports of Research Institute for Applied Mechanics.Open access

Velocity Profile of a Boundary Jet in a Rotating Fluid

Iwao Yamashita, Masaki Takematsu

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Abstract

A laminar boundary jet adjacent to a vertical sidewall of a rotating circular cylinder was studied experimentally. The boundary jet was produced by differential rotation of a ring-shaped plate along the periphery of the top surface of the working fluid. The velocity field of the resulting boundary jet was observed by a pH-indiator method with special interest in the case when the with of the driving ring was O (E^1/4 (Eis the Ekman number). It was demonstrated that the azimuthal velocity has an appreciable vertical shear and that the vertical velocity in the boundary jet is of order £114. The vertically averaged azimuthal velocity profile was compared with an empirical formula which is a modified version of the theoretical solution given by Kimura (1976)

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A laminar boundary jet adjacent to a vertical sidewall of a rotating circular cylinder was studied experimentally. The boundary jet was produced by differential rotation of a ring-shaped plate along the periphery of the top surface of the working fluid. The velocity field of the resulting boundary jet was observed by a pH-indiator method with special interest in the case when the with of the driving ring was O (E^1/4 (Eis the Ekman number). It was demonstrated that the azimuthal velocity has an appreciable vertical shear and that the vertical velocity in the boundary jet is of order £114. The vertically averaged azimuthal velocity profile was compared with an empirical formula which is a modified version of the theoretical solution given by Kimura (1976)

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Available abstract

A laminar boundary jet adjacent to a vertical sidewall of a rotating circular cylinder was studied experimentally. The boundary jet was produced by differential rotation of a ring-shaped plate along the periphery of the top surface of the working fluid. The velocity field of the resulting boundary jet was observed by a pH-indiator method with special interest in the case when the with of the driving ring was O (E^1/4 (Eis the Ekman number). It was demonstrated that the azimuthal velocity has an appreciable vertical shear and that the vertical velocity in the boundary jet is of order £114. The vertically averaged azimuthal velocity profile was compared with an empirical formula which is a modified version of the theoretical solution given by Kimura (1976)

Key concepts: Jet (fluid), Mechanics, Boundary (topology), Physics, Classical mechanics, Mathematics, Mathematical analysis

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