No, the coefficient of heat of water is almost entirely irrelevant. The heat of vaporization of one gram of water is 540 times higher than the energy needed to heat one gram of water by 1 degree celcius.
Let's say you have a heatpipe where one end is 10 degrees C hotter than the other end. That's actually quite a lot of difference for the class of heatpipes used in computer parts. Even in that case, heat of vaporization is responsible for 98% of the total energy transfer. The coefficient of heat is irrelevant.
Coefficient of heat is still responsible for how quickly phase state change can occur. If your liquid is resistant to heating, heat is forced to flow in the metal shell of the vapor chamber. Evaporation is still the mechanism to move the fluid to a place where it can be cooled. The analogy is still valid, even if phase state change is where a bulk of the heat energy is transferred.
I think
everyone's a bit confused.
Convection is the correct term. Conduction of heat through diffusion and fluid flow.
Edit: I should clarify further. My original post comparing the coefficient of heat for water and air is an argument for liquid based cooling, not a specific implementation of it. In the end, you must face that heat will be removed by forced airflow over metal. Forcing liquids or other gases with a superior coefficients of heat in a non-enclosed system is not technically feasible.
So, the question is what is a superior way to get heat to the metal that is ultimately being air cooled? If you're going through a solid medium, you can't beat a nice metal like copper. Thus, you must artificially boost the amount of molecules available to carry heat. Introducing an open, non-solid medium is the way to achieve this. In the case of water cooling, you are mechanically boosting the amount of molecules available to conduct heat. You are also creating a system of total heat conducting molecules that far surpasses the practical volume of a copper slab approach. Pumping the fluid effectively allows more molecules than normal in a given volume to carry heat away. Now, for the sake of argument, you could achieve the same system with a theoretical gas that shares water's coefficient of heat but cannot undergo state change rendering the second option (vapor chamber) unavailable.
A vapor chamber also uses liquid to cool, but it asks each molecule of water to dissipate much more heat by allowing it to go through a state change. The only way water does better than copper is the open space in the interior which allows vaporization to quickly physically transfer the heated molecule to be cooled(otherwise, you're super heating the liquid and not allowing for proper expansion and state change). That is why I say vaporization is analogous to the pump. The liquid requires a quick transfer to a location where it can be cooled not possible in a solid. Yes, it is also true this state change absorbs the brunt of the heat dissipated, but the method is still only feasible because of water's superior coefficient of heat. Similar to the gas and liquid interchange analogy before, you could use a theoretical liquid with the same coefficient of heat as air and it would perform poorly in a vapor chamber. Sure, the ability to change states of said theoretical liquid would be advantageous, but said scenario doesn't even imply a physical chamber design exists such that any volume of said liquid would be able to keep the chip below failure point before it began using state change to cool.
Indeed, a vapor chamber with the physical volume of a liquid cooling method would also be impractical due to the solid nature of the physical exterior of the chamber. The pump method also beats vapor cooling by presenting so many molecules to carry heat than vaporization ever could, even if they carry less heat per molecule. You could probably make a system that matches flow rate such that energy per molecule times number of molecules available from flow in a vapor chamber equals energy per molecule times number of molecules available from flow in a water cooling system. The thing is, due to practicality of design, you can still do much better with water cooling.
So, my original statement was misleading because it implied coefficient of heat was the sole mechanism making a vapor chamber appealing. However, my analogy of pumping to vaporization stands. I hope it is clear now.