Transmission having a fluid cooling shroud

A transmission comprising:

• a housing having housing walls defining an internal chamber including an output port and an input port;
• a rotatable input shaft extending through one of said housing walls into said internal chamber;
• power transmission components disposed in said internal chamber and rotatably driven by said input shaft;
• an output shaft extending through one of said housing walls from said internal chamber and rotatably driven by said power transmission components;
• a lubricating fluid disposed in said internal chamber and lubricating said power transmission components;
• a cooling shroud surrounding said housing and defining a gap between at least one of said housing walls, said cooling shroud including a cooling passageway in fluid communication with said output port and said input port, wherein said lubricating fluid flows out of said internal chamber through said output port into said codling passageway, through said cooling passageway, and back into said internal chamber through said input port;
• a pump disposed in said internal chamber of said housing, said pump delivering said lubricating fluid through said output port and into said cooling passageway, through said cooling passageway, and back into said internal chamber through said input port;
• and
• a fan exhausting air through said gap cooling said at least one of said housing walls and said lubricating fluid flowing through said cooling passageway.