Transcription of Lecture 4: Circulation and Vorticity
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Lecture 4: Circulation and Vorticity
Lecture 4: Circulation and VorticityLecture 4: Circulation and Vorticity Circulation Bjerknes Circulation Theorem j Vorticity Potential VorticityESS227 Prof. Jin-Yi Yuy Conservation of Potential VorticityMeasurement of RotationMeasurement of RotationMeasurement of RotationMeasurement of Rotation Circulation and Vorticity are the two primaryCirculation and Vorticity are the two primary measures of rotation in a tihi h ili tltit i Circulation , which is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluidthe fluid. Vorticity , however, is a vector field that gives a microscopic measure of the rotation at any point in the Jin-Yi YuCirculationCirculation The Circulation , C, about a closed contour in a fluid is defined hli il l dlhfhas the line integral evaluated along the contour of the component of the velocity vector that is locally tangent to the >0 CounterclockwiseC 0 Counterclockwise C < 0 ClockwiseESS227 Prof.
• Vorticity, however, is a vector field that gives a microscopic measure of the rotation at any point in the fluid. ESS227 Prof. Jin-Yi Yu. Circulation • The circulation, C, about a closed contour in a fluid is defined as thli i l l dl h fhhe line integral evaluated along the contour of the
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