Centrifugal
There are two different definitions for the term centrifugal force. One is that centrifugal force is one of the fictitious forces that appears to act on an object when its motion is viewed from a rotating frame of reference. Another, less popular definition is that Centrifugal force is the reaction force exerted by an object moving in a circular path upon the object that is causing its circular motion, according to Newton's Third Law.
Centrifuge
A centrifuge is a piece of equipment that puts a substance in circular motion in order for the centrifugal force to separate a fluid from a fluid or from a solid substance. Generally, a motor drives the rotary motion of the sample. There are many different kinds of centrifuges, often for very specialised purposes.