A cylindrical tank measuring 0.75 m in diameter and 1.2 m high contains a transformer immersed in an oil bath that produces a uniform surface temperature condition. All heat loss may be assumed due to natural convection to surrounding air at 295 K from the top and side walls. The heat dissipation rate from the transformer is constant at 1.5kW. Required:
Write down the total heat transfer rate equation as a function of surface temperature and relevant characteristic dimensionless numbers.