Also, the processor in a phone is not necessarily a high powered one. Most microcomputing designs for compact computing are vamped around low poer consumption and hence why there are very few high powered apps for phones.
Also, phones and micro devices do not require high powered computing processes, those are left to actual computers. The only reason why computers have all that stuff is the fact that OS demands and just modern day programming for most computers require much more than microcomputing systems need (That, and the fact most modern computer OS and software are written horribly)
While technically, the processing power is higher than previous generations of smartphones and the like, they are closer to what Pentium 1 chips were and those didn't really require a powerful fan, in fact, old x86 systems didn't need more than just a heat sink to do the processing power they did then. With current day technology, we can get Pentium 2 or Pentium 3 level processing power onto room temperature cooled levels. Our current computer processors are now multi-core processors running at much higher speeds than ever before.