Bubble Hydrodynamics

[Sajmon]

I don't know to solve this homework and i need a little help

 

Diver at a depth of 20 m below the water breaths 1 liter of air. With what acceleration the air bubble begins to move against the surface ,how his speed varies with time and what is its volume at a depth of 5 m? The water temperature is 20 ° C. Part of a solution will be need to find numerically.

 

Thanks in advance

[CaptainPanic]

That's quite tough...

The initial acceleration comes from the force derived from the buoyancy. There is no drag (yet).

 

Calculating the change of velocity is difficult. The formula for the drag is difficult. I'm not sure how deep into the matter you're going. The shape of the bubble itself changes as a function of velocity, size of the bubble and pressure.