After reviewing all available literature on heat transfer to superheated steam at high temperatures and pressures, it was concluded that further investigation of this problem would be of value. The thesis was concerned with the derivation of three heat transfer film coefficient equations and their related error equations. The three equations thus derived were not used to determine the value of the heat transfer film coefficient. No experimentation was performed to obtain the necessary data required by the three equations for calculating the heat transfer film coefficient value. Instead an error analysis was made of the film coefficient equations using the derived error equations. Prediction of the most accurate film coefficient equation was made based on results obtained from this analysis. Recommendations for the test apparatus and arrangement, test section design, and experimental procedure were advanced based on the error analysis results. No attempt was made in the thesis to develop an experimental heat transfer film coefficient similar to the equations found in the reviewed literature. / Master of Science