Bubble with varying pressure over surface

I was wondering if it's possible to have a soap bubble with a varying pressure over its surface? That is, such a bubble would not have constant internal pressure at all points.

I am specifically interested in this for modelling a situation in which a soap bubble is placed in a stream of moving air, or a situation in which a soap bubble is heated, in both of which cases there may be significant variation in external pressure over the surface of the bubble.

If this is possible, does the Young-Laplace equation still hold in some form (eg. at each point on the surface of the bubble)?

Thanks for any responses.

• Given that you're talking about the Young-Laplace equation, I assume you're not also considering a transient pressure differential and an unsteady (but non-breaking) surface?
– JMac
Commented Aug 2, 2018 at 18:54
• I'm considering an unsteady non-breaking surface, certainly - so the bubble isn't stable in shape - I don't know what a transient pressure differential is - basically, I'm just interested in modelling different shapes bubbles could take on when they are placed in a stream of moving air or heated. As regards the Young-Laplace equation, I'm trying to find out whether the derivation here (farside.ph.utexas.edu/teaching/336L/Fluidhtml/…) can be modified for varying pressure; I suppose, yes, that it may have to be abandoned. Commented Aug 2, 2018 at 19:06
• I'm not gonna lie, I'm not too well versed in the Young-Laplace equation. When I looked it up though, Wikipedia says it is for the interface between two static fluids, so it seems like it would only apply to stable steady shapes. By transient pressure differential I just meant changing; it's not a steady state phenomenon.
– JMac
Commented Aug 2, 2018 at 19:09
• It's certainly possible to have an external pressure variation on the surface of the bubble due to external flow, and a local version of the Young-Laplace equation (involving the two local principal radii of curvature at each location) will apply at each location. Commented Aug 2, 2018 at 22:31
• Don't forget pressure differential due to gravity. Commented Aug 3, 2018 at 0:15