The heat transfer and flow characteristics within a helically coiled tube are further investigated numerically in this work, under both uniform heating, and one-sided heating conditions. This work focuses on the local heat transfer characteristic coincidence that occurs at the innermost point of any fully developed cross-section, whereby the local Nusselt number remains constant regardless of the type of heating condition. This feature can be used to approximate the unknown heating flux for one heating condition with the known value for the other heating condition. Different parameters including flow states (Reynolds number), geometrical parameters of the helically coiled tube (curvature ratio, helical pitch), heating conditions (heat flux) and working fluid property (Prandtl number) that have significant impact on the heat transfer characteristics have been tested. The results show that the heat transfer characteristic coincidence does not change along with the variable parameters which indicates that the proposed correlation of local Nusselt numbers can be extended to a wide range of parameters.