Submersible pumping system with motor protector having enhanced cooling

A method of heat transfer, the method comprising:

• providing an electric submersible pumping system with a submersible pump, a submersible motor powering the submersible pump, and a motor protector;
• using the motor protector to counter thrust exerted during operation of the submersible pump by utilizing a plurality of thrust bearing chambers with each thrust bearing chamber having a thrust bearing operable within internal motor fluid;
• and
• protecting the motor protector from heat generated by the thrust bearings via an enhanced cooling system which facilitates removal of heat by flowing the motor protector oil along external grooves in an inducer body, the external grooves being oriented to move the internal motor fluid against a motor protector housing and to thus enhance the heat transfer to a well fluid flowing along the exterior of the motor protector housing.