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1989•Quarterly of Applied MathematicsOpen access

Separation of streamlines for spatially periodic flow at zero Reynolds numbers

Keith B. Ranger

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Abstract

The stream function is found for the creeping flow between two cylinders. The inner cylinder is approximately circular and is rotating with constant angular velocity. The outer cylinder is fixed and corrugated or spatially periodic. The boundary vorticity on the outer boundary is discussed in relation to separation of the streamlines, as a function of the parameters describing the boundary geometry.

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What this paper is about

The stream function is found for the creeping flow between two cylinders. The inner cylinder is approximately circular and is rotating with constant angular velocity. The outer cylinder is fixed and corrugated or spatially periodic. The boundary vorticity on the outer boundary is discussed in relation to separation of the streamlines, as a function of the parameters describing the boundary geometry.

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Available abstract

The stream function is found for the creeping flow between two cylinders. The inner cylinder is approximately circular and is rotating with constant angular velocity. The outer cylinder is fixed and corrugated or spatially periodic. The boundary vorticity on the outer boundary is discussed in relation to separation of the streamlines, as a function of the parameters describing the boundary geometry.

Key concepts: Streamlines, streaklines, and pathlines, Stream function, Cylinder, Reynolds number, Potential flow around a circular cylinder, Vorticity, Geometry, Boundary (topology)

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