The paper presents a mathematical method to compute the performance of two different types of turbofan engines, one type is the turbofan with axial air flows, classical turbofan, and the second type is a turbofan with radial-axial air flows, a new turbofan configuration. To compare the engines specific parameters of the classical engine will be confronted to the new engine configuration. The engines are compared only in gas-dynamic calculus and not in technical constructive solution. By this gas-dynamic study is intended to establish the difference between the engines in thrust, fuel consumption and acoustic power.