Method of mixing exhaust gas exiting an exhaust stack outlet with cooling air exiting a cooling package outlet and machine using same

A machine includes an internal combustion engine disposed within an engine compartment and supported on a machine frame. An exhaust stack has an inlet fluidly connected to an exhaust manifold of the internal combustion engine and an outlet in fluid communication with ambient air. A diesel particulate filter is disposed along the exhaust stack. A cooling package includes at least one heat exchanger and a blower fan. The blower fan is configured to blow cooling air from the engine compartment sequentially through the at least one heat exchanger and an outlet of the cooling package. Exhaust gas exiting the exhaust stack outlet is mixed with the cooling air exiting the cooling package outlet in a high temperature zone surrounding the exhaust stack outlet to form a fluid mixture, and a temperature of the fluid mixture at a perimeter of the high temperature zone is below 200 degrees Celsius.