During the movement of underwater vehicle, hydrodynamic wake is formed along with long-distance thermal wake caused by the discharge of high temperature cooling water. By capturing and imaging the thermal wake generated behind underwater vehicle, it is possible to determine the size, speed, and location of the vehicle. Investigating the hydrodynamic wake and thermal wake of an underwater vehicle requires the integration of various physical fields, including fluid mechanics and thermodynamics. Previous researches are always centered on the multiple impacts on the wake, such as the advancing speed, discharge temperature and flow rate. However, there is limited attention was given to the effects of appendages and propellers on the thermal wake propagation. Numerical investigation based on the RANS method was conducted to investigate the hydrodynamic and thermal wake of a fully appended underwater vehicle with a rotating propeller. Parametric studies consisting of various speeds, propeller rotation rates, temperatures and flow rates of cooling water discharge were thoroughly analyzed. The results revealed that the presence of the propeller significantly influences the core region of the thermal wake. The temperature decays rapidly when close to the vehicle and becomes slower with greater distances downwards. Higher speeds and propeller rotation rates lead to a larger area affected by high temperature. Increasing the temperature and flow rate of cooling water discharge enhance the thermodynamic signal in the wake behind the underwater vehicle.