Introductory Fluid Mechanics L13 p9 - Irrotational Flow

[carmelpule]

The operators Gradient, Divergence, Curl, are fascinating on what they can extract from a scalar or a vector field. If one introduces another Vector reaction with the existing curves or fields, one enters a space of great imagination and inspirations.
I wonder how deep one should learn to handle these mathematical operations and learn the exact meaning of their actions before they are applied to fluids and electrical and magnetic systems. To learn to programme fluid flow around objects and see the laminar and turbulent flow and all the bubbles of vortexes moving with the flow or circulating in some corner or blunt spaces or dormant spaces, or being used to pump up high pressure fluids into low pressure zones, well it certainly is a fascinating world considering the power or the modern computer working in conjunction with the real world and real equipment. Fluid Mechanics and Electromagnetic world through Grad, Div, Curl, and a few differential equations has made the art world a new space to attack from so many diverse angle, including, just vision, just listening, the engineering, the mathematics, the programming, It is certainly a remarkable elegant world to live in if one is able to " see " it all in this format rather than just painting it on canvas with oil or photographing what the human sensors can see without much depth.
Congratulations on this series of presentations.

[dremr]

4:13 & stream functions are for rotational 2D flow.

[hawraaraheem]

(V.del)V how we read this ?? Diverg.grad. or what??