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The Steady Viscous Flow of Two Differentially Rotating Immiscible Fluids

Gregory R. Baker, Steven J. Mardeusz

Open publisher page 4 citations

Abstract

We have computed the steady, axisymmetric viscous boundary layers on either side of an interface between two immiscible, incompressible fluids that are in rigid body rotation far from the interface. The internal rotational Froude number is assumed small so that the interface may be considered horizontal. An application of our results to the spinup from rest of two immiscible slightly viscous fluids in a vertically mounted cylinder is discussed.

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What this paper is about

We have computed the steady, axisymmetric viscous boundary layers on either side of an interface between two immiscible, incompressible fluids that are in rigid body rotation far from the interface. The internal rotational Froude number is assumed small so that the interface may be considered horizontal. An application of our results to the spinup from rest of two immiscible slightly viscous fluids in a vertically mounted cylinder is discussed.

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Available abstract

We have computed the steady, axisymmetric viscous boundary layers on either side of an interface between two immiscible, incompressible fluids that are in rigid body rotation far from the interface. The internal rotational Froude number is assumed small so that the interface may be considered horizontal. An application of our results to the spinup from rest of two immiscible slightly viscous fluids in a vertically mounted cylinder is discussed.

Key concepts: Mechanics, Froude number, Rotational symmetry, Viscous liquid, Cylinder, Rotation (mathematics), Compressibility, Flow (mathematics)

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