How does the body stay cool in a hot bath?

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I was lying in a hot deep bath and though "Why is my body not heating up toward bathwater temperature?"
I have read a few replies on how the body maintains 37 degrees in a hot bath. Most say vasodilation and perspiration. But I don't think either of those quite make sense. So how is all the absorbed heat dissipated to keep you cool?
 
This question has occurred to me too. But what temperature is a bath at the point above which you can't lie up to your neck in it? Is it much more than body temperature?
 
There are many mechanisms for thermoregulation. First we have an insulating layer of fat and subcutaneous tissue.Then there is sweating response, we can lose a lot of heat through the scalp (very vascular). Physiological factors would kick in--vasodilation to parts of the periphery not submerged (head and neck, arms, etc.) If we're there long enough, our own heat generating mechanisms can slow down.
Being someone who enjoys a hot bath, but also gets hot flashes, I can be sitting in the tub quite contently, but all of a sudden get overheated to the point of turning the cold shower on. I guess what I'm saying is that your body compensates fine, but when you are in danger of being too hot, it will let you know.
 
Even a very hot bath is not that much hotter than body temperature (water heaters typically set at 140 F/ 60 C maximum), and as soon as that water comes out the tap it's losing heat to the surrounding air and tub which are likely in the range of 65-80 F/ 18-27 C. The a person gets in and sucks more of the heat from the water into their own 98 F / 37 C body, with the human and the bathwater both still also losing heat to the air and the tub. It's more of a wonder that a person stays comfortably warm long enough to have a relaxing bath, unless the tub itself has a heater.
 
At some point, you don't. More than a few people have died in hot tubs after their muscles stopped working and then they died of heatstroke.

Also consider the "wet bulb temperature" - the combination of air temperature and humidity that prevents perspiration cooling from working.
 
It is also interesting how you can put a roast in the oven for 2 hours at 400F and the internal temperature is 160F. Clearly, meat doesn't conduct heat like metal does.
 

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