A cooling system for an engine of a lawnmower. The engine has a muffler through which exhaust gases exit the engine and is cooled by a liquid coolant. The cooling system includes a heat exchanger operatively connected to the engine to receive the liquid coolant from the engine at a first temperature and return the liquid coolant to the engine at a lower temperature. A fan mounted above the heat exchanger is operable to draw or pull an air flow in a standard direction upward through the heat exchanger. The heat exchanger and fan are oriented in an inclined orientation such that the air flow is directed upward and away from the operator station of the lawnmower. The cooling system also has a generally tubular baffle surrounding the muffler at least partially isolating the engine from heat radiating from the muffler. The baffle is configured such that exhaust leaving the muffler causes air to be inducted into the areas between the muffler and the baffle by an aspiration effect created by the exiting exhaust gases.