oil and water

used to refer to two elements, factors, or people that do not agree or blend together

油和水（指互不相容的因素或人）

oil the wheels

help something go smoothly

幫助事情順利進行

compliments oil the wheels of life.

稱贊會使生活更好過。

oil (someone's) hand 或 oil (someone's) palm 【非正式用語】

To bribe

行賄

an attorney who tried to oil the judge's hand in order to obtain a directed verdict favorable to his client.

為使判決導向有利于其委托人的局面而試著向法官行賄的律師

To give a tip to

給…小費

oiled the headwaiter's palm.

給領班小費