Positive displacement pumps work by trapping a fixed amount of fluid and forcing it to discharge. There are three main types: reciprocating pumps use pistons, diaphragm pumps use flexible diaphragms, and linear pumps use linear motion. Reciprocating pumps are commonly used for high pressure applications like well services. Diaphragm pumps are suitable for handling corrosive or abrasive liquids since only the diaphragm and valves contact the fluid. Positive displacement pumps can handle high viscosity liquids efficiently and are used widely in industries like oil and gas, mining, and more.