How can i make air fx in any renderer types

(first of all i am sorry about my worst English.)
boom2
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I’ve been practicing to make a airpurifier for 2 weeks.
than this is my results.

i used noise texure shading…
i really don’t wanna use aftereffects.
and nowhere to find the same results nor artworks…
can anyone give me a hints??

Looks like a stretched noise texture

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I’ve tried streched x y z axis all but it’s getting mess not organized