There are two main methods of cooling engines: air cooling and water cooling. Air cooling uses fins and airflow from vehicle movement to cool the engine directly, while water cooling circulates liquid through a jacket around the engine and then to a radiator to dissipate heat before recirculating. Water cooling can be open, thermosyphon, forced circulation, or pressurized, with forced circulation being most common using a pump, radiator, thermostat, and fan to regulate temperatures. Proper maintenance like cleaning and using appropriate coolant is important to prevent overheating issues.