heat
noun
informal uk/hiːt/ usfeel/take/face the heat
to be in a difficult situation in which you have to deal with a lot of problems:
Domestic retailers are feeling the heat from foreign competitors.
turn up the heat (on sb/sth) (also put the heat on sb)
to try to force someone or something to do something in order to get the result you want:
OPEC could turn up the heat by increasing oil prices still further.