The design and function of nozzles are critical to various applications such as steam turbines, gas turbine jet engines, and jet propulsion systems. In certain applications, an advanced nozzle increases fluid speed from subsonic to supersonic or even hypersonic velocities. This is achieved by controlling the flow characteristics of the fluid and producing the necessary thrust under specific design and operational conditions. This study focuses on analyzing the shape and flow parameters of the nozzle and its length. The developed 1-D gas dynamic equations with the real gas equation assume that the momentum rate remains constant to calculate the geometry and flow parameters. The constant rate of momentum change theory (CRMC) accounts for the frictional effect and heat addition, aiding in the computation of nozzle coordinates with identical flow parameters at any distance, such as 0.5 mm in the present case. The results were confirmed using computational fluid dynamics (C.F.D.) with ANSYS Workbench2022R2. At design conditions, the numerical results were found to agree with the present CRMC theory.