'ok, so water density increases as temperature drops'
First things first. That is not a true statement. It depends on what the starting temperature is, because it reverses at 4-5C, if my memory is any good. At some point below zero the density decreases dramatically.
Hi Bill,
4.1°C is the temperature at which pure water reaches its density maximum.
At 0°C water freezes, and yes, ice is much less dense than water, but its viscosity is pretty high. In fact, diver velocity falls to zero when he or she hits water in its frozen state :head
The difference in density between water at 0°C and ice at 0°C is due to the entropy change, and it is much greater than the density change due to temperature differences in the liquid state, which is why ice floats on the surface, no matter what the temperature of the water underneath.
The amount of density change caused by temperature is pretty negligible for freediving considerations. For example fresh water at 25°C is approximately 0.3% less dense than fresh water at 4°C. This sort of a difference will be below noise levels in terms of water resistance experienced by a freediver.
Note that the above is true only for fresh water. Addition of salt changes everything. Sea water at a normal salinity of, say, 3.5%, will freeze at approximately -1.9°C.
So in the ocean it is actually possible to dive at a temperature below 0°C. I've done this myself with a bunch of undergrad students in Nova Scotia, Canada. They were doing their checkout dive for a certification program in a cove where the water temperature was measured at -1.2°C. They were wearing a motley collection of wetsuits, some borrowed, and you've never seen such a stiff, red-faced collection of bodies as that crew when they came out of the water. We had kept a bunch of vehicles running with the heaters on so we could stuff 'em in and warm 'em up after the dive.
Also, in normal sea water there is no density maximum, unlike fresh water, it just keeps getting denser as you go down to its freezing point. As with fresh water, though, the changes in density with temperature are so small that they have no practical effect on the swimming resistance of a diver.
The difference between diving in fresh and salt water due to salinity could be significant, though. For example, at 4°C the difference in density between fresh water and 3.5% salinity sea water is 2.8 %. This means that in sea water the work required to displace water as the diver's body moves through it will be 2.8% greater, and during the freefall phase of a deep dive, this could make a significant difference to the depth achieved.
As Trux has pointed out, though, the effect of increased water density on active swimming is complicated, and it's hard to say whether a 2.8% difference might just get lost in the noise of factors such as wetsuit fit, weighbelt profile, the diver's swimming style, etc..
Anyhow, divers doing dives with a long sink phase might find themselves doing a little bit better in fresh water than sea water.