Comments on: Vector Calculus: Understanding Circulation and Curl

By: 3.1415Blank

3.1415Blank — Fri, 16 Dec 2022 02:30:42 +0000

This is so nicely written, thank you for your work

By: Dominic Ellis

Dominic Ellis — Tue, 27 Oct 2020 03:59:18 +0000

I finally understand curl and why it's a cross product of gradient with the vector field because it is the circular motion at a point measured by taking the overall circular motion and dividing by the surface itself. I think that the math is presented way more complicated then it needs to be divergence is the flow into/outto a point wheras the curl is the flow around a point divergence is addition of liked termed derivatives and curl is subraction of un like termed deirvatives. we need more intuitve explanations of these mathematic concepts most people give up on math in algebra 1 while it really is the wave of the future.

By: Dev

Dev — Sat, 27 Jun 2020 06:25:02 +0000

This really helped in aerodynamics.... stunning explanation i ever have found and i will suggest the site to all students thank you very very much sir.

By: George Lee

George Lee — Tue, 07 Jan 2020 17:45:09 +0000

Hi Kalid. I'm confused about what are circulation and curl describing, the circulation power available, or the part of it that we are interested in?

When describing the direction of the curl vector you said that it is "the orientation of the axis of your paddlewheel in order to get maximum rotation", so it looks that my first interpretation is correct. But later you said that we need a dot product to calculate how much the force is pushing along "the path" (probably meaning the "desired" path), so it looks that my second interpretation is correct.

Thanks in advance.