The dawn of space exploration privatizing contributed to a boost and renewed interest in the modeling of vehicles used for such missions. However, the increase of temperature and pressure in combustion chambers, while enhancing fuel injection efficiency, makes fuel and oxidizer exceed their critical point entering a supercritical state. While cubic equations of state such as the Soave-Redlich-Kwong and Peng-Robinson are widely utilized due to their relative simplicity, recent formulations of multiparameter equations for transport properties based on the Helmholtz reduced energy are proving to be an alternative worth considering. The higher accuracy and improved performance of these equations in the critical region is a time-consuming enterprise, relying on large and accurate data sets. Therefore, this work aims at evaluating the influence of cubic and multiparameter transport equations of state in the numerical evolution of density and temperature inside a cryogenic liquid rocket combustion chamber at supercritical conditions.