When you think about our brains, this makes a lot of sense and one of those things that seem obvious in hindsight. Our brains are efficient and have high computing power, but why don't they heat up? Because liquid (blood) is constantly flowing through it to keep it cool. But unlike traditional liquid cooled computers, blood also powers our brain.
What I'd like to know, which I don't think they mentioned in the article, is if the fluid actually runs through the chips silicon wafers like the other technique discussed later in the article.
This is true, but without the blood to carry excess heat away your brain would still heat up to the point where its cells would no longer be able to function and you would die (only need in increase of about ~3C).
Depends on the brain. There are people with faster metabolic rates or as one paper detailed some time ago that people with very good eye sight had to paid a higher price in terms of energy spent.
What I'd like to know, which I don't think they mentioned in the article, is if the fluid actually runs through the chips silicon wafers like the other technique discussed later in the article.