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YouTube

The Curl of a Vector Field - Measuring Rotation

Steve Brunton via YouTube

Overview

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Explore the concept of curl in vector calculus through this 27-minute video lecture. Learn how the curl operator quantifies local rotation in vector fields, such as fluid flow. Understand its significance in measuring vorticity and its application to phenomena like tornadoes. Dive into simple examples, interpret the curl's meaning, and gain intuition for curl as solid body rotation. Examine important relationships like Curl(Grad)=0 and Div(Curl)=0. Enhance your understanding of this fundamental building block in vector calculus, essential for fluid dynamics and beyond.

Syllabus

Introduction & Overview.
Simple Example.
Interpretation of the Curl.
Intuition for Curl as Solid Body Rotation.
Curl(Grad)=0 and Div(Curl)=0.

Taught by

Steve Brunton

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