We are trying to transfer heat to the baseplate to warm the tec( cold side). Using jet impingement rasies the Heat transfer value between the water and copper. So, since the water will always be warmer than the TEC's cold side ( as stated) the heat will try to go to the area that is colder (right?). So by increaseing the heat transfer you also increase the temp of the bp.
Also as an explanation of why it is always harder to cool something: Because of the laws of thermodynamics ( specificlly the 2nd i think) you will always make more heat than you remove causing more heat for you to remove. ( I think this statement is correct, my Chem teacher said some thing like this during our unit on thermodynamics I just exterpolated a little.
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