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- Summary
- How can the phenomenon of pouring liquid from a vessel (pouring beer from a can for example) be modelled as a partial differential equation?

So the other day, I was pouring beer from a can to a mug and I obviously know the flow rate depends on the height of the beer from the bottom of the can (fluid level in the vessel), angle of tilt and I think time as well.

I was wondering how to best model the PDE to describe such a phenomenon ( tried it myself but I’m not sure I know what I’m doing) with boundary conditions such as initial and final volume after a time t and probably the volume capacity of the vessel.

Also if I could get a solution to the PDE as well?

Thank you.

I was wondering how to best model the PDE to describe such a phenomenon ( tried it myself but I’m not sure I know what I’m doing) with boundary conditions such as initial and final volume after a time t and probably the volume capacity of the vessel.

Also if I could get a solution to the PDE as well?

Thank you.