Conical Helix Water Time-Varying Phasors

Since we have several gardens around our house watering them during the dry season becomes a real necessity. In some spots we use rotating sprinkles which cover larger surfaces.

A few days ago, I took a picture of a rotating sprinkle and noticed an interesting conical helix shape - - but the beauty of the photo was added to the fact that that picture took a few milliseconds to be taken and one could think of the water line and then drops as a time-moving spatial phasors had a well defined movement with linear and rotational speed, frequency and phase angle. The reason for the double lines of water was that the little sprinkle had two holes thrusting the water in different directions to create the rotation.

Since last night I was preparing a short introduction for a PESGM 2024 Panel (Seatle) titled: Revisiting Harmonic Phasors in Intelligent Networks: Concept, Algorithms, Estimation, Measurement, Implementation, and Applications, I thought that snapshot could be a good analogy of a phasor component propagation – in an open system space.

For comparison see the Illustration below of the water phasor and of harmonic of a time-varying harmonic phasors (*) during a transformer energization.

I hope this is not just my tired wondering mind at the wee hours of the day - - and it may make sense to some of you. Let me know.

Nature displays marvelous analog shapes and movements, each exhibiting an intricate design and rhythm that often inspire our imagination and wonder. In this case water and electrons take similar trajectories following well stablished functions.

Cheers,

Paulo

(*) Thanks to Professor Duque for the time-varying harmonics picture.