I mean my lungs are probably about 30cm from top to bottom. That's a 0.03 Bar pressure differential on my lungs if I'm in an upright position. Moreover, I'm not convinced my lungs actually do experience that pressure differential as it is a single enclosed space. By analogy, if I take an inflated balloon under water, will the pressure inside that balloon vary from top to bottom or will it have a single internal pressure that is the average of the balloons depth in the water column?
Regarding the balloon...
The pressure inside the balloon will be *practically* uniform. Given perfectly stagnant air inside the balloon, the weight of the depth of air in the balloon will make the pressure at the bottom ever so slightly higher than the pressure at the top. In real life, it's effectively constant pressure on the inside of the balloon (unless it's a *really* big balloon :biggrin
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On the other hand, the pressure on the outside of the balloon is not so nearly invariant. The change in pressure equals the density times the change in depth, and the density on the outside of the balloon is considerably higher than the density on the inside. Since the forces on the balloon must balance out, what else is missing?
Remember the balloon! The balloon material is what balances the equation. On the top, the material is stretched more tightly. The pressure from the water and the pressure from the balloon skin's stretch add up to the pressure of the air inside the balloon. On the bottom, however, the pressure from the water is greater (with the pressure of the air remaining effectively constant), so the balloon's skin does not have to stretch as much to press against the air inside.
Think of a mostly full open-bottom lift bag. Where the air and water meed at the bottom of the air bubble, the air pressure and water pressure are perfectly balanced. (They have to be balanced, since nothing's holding either back.) You can press on the fabric and feel basically no resistance. As you slide your finger up the side of the bag, the bag feels more and more taut. The pressure on the inside is the same, but the pressure of the water is less -- the difference is held back by the fabric, and you can feel that pressure. At the top, the pressure difference between the water and the air in the bag is at a maximum, with the air (still at the pressure of the air and water meeting at the bottom of the bag) pressing quite forcefully against the inside of the bag.
So, going back to your lungs, the pressure on the inside is effectively uniform (as they are filled with very low density fluid, eg. air), and the pressure on the outside is based on the depth of the fluid in which you're diving (assuming you don't want to go overboard with technicalities). Of course, the magnitude of even that pressure difference is not significant. Although you *can* feel the difference between breathing while upright, face-up, or face-down, the comfort impact of that "work of breathing" is on an entirely different scale from decompression calculations. (Ever tried to use a one meter/yard snorkel? :biggrin