How to make procedural wind texture in an anime/toon style. Which can be put mainly on planes.
Like these, but the creators didn't say how they did it.
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You can create a curve, give it extrusion in the Properties panel > Object Data > Geometry > Extrude, then give it a material that is a mix between a Transparent and an Emission node with a Texture > Musgrave Texture as factor (in Eevee don't forget to choose Alpha Blend in the material settings). In the Mapping node, stretch the texture on one axis:
You can blur the borders with a second ColorRamp:
Then use the Location values to move the streaks:
As for the ring around the ball, create it with a Geomtery > Bevel > Object instead of an Extrude, and choose a oval or a rectangle as Object. And for the material, from what I see in your animation, enable both the Show Backface and the Backface Culling options in the material settings to get the right transparency: