Kinematics of a Fluid Ellipse in a Linear Flow

Kinematics of a Fluid Ellipse in a Linear Flow

A four-parameter kinematic model for the position of a fluid parcel in a time-varying ellipse is introduced. For any ellipse advected by an arbitrary linear two-dimensional flow, the rates of change of the ellipse parameters are uniquely determined by the four parameters of the velocity gradient mat...

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Bibliographic Details
Main Author: Jonathan M. Lilly
Format: Article
Language:English
Published: MDPI AG 2018-02-01
Series:Fluids
Subjects:
elliptical vortex
linear flow
Kida vortex
Stokes’ theorem
Ball’s theorem
moment of inertia
matrix basis
Online Access:http://www.mdpi.com/2311-5521/3/1/16

Internet

http://www.mdpi.com/2311-5521/3/1/16

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