This research is to investigate the performance analysis of turbine for power generation with three different numbers of the nozzle vane in the turbine. Velocity, pressure. and temperature distributions of fluid over the flow domain of the turbine are numerically calculated for the optimum design of nozzle with two different rotational speeds of the turbine blade (1000 and 1500 RPM). Ultimately, the energy-efficient and maximum power-generated shape of the nozzle vane are determined through three different maximum Mach number of the flow with three shapes of the nozzle vane (10, 18, and 24 EA).

This paper presents a description and evaluation of a detailed mathematical simulation for the steady and unsteady flow in a radial inflow-turbine which is most frequently used, at present, for exhaust gas turbochargers of internal combustion engines. As a method of computation, the two-step differential Lax-Wendroff method and the characteristic method were used. The turbine characteristics, the mass flow rate, the power output and fluid movements at the turbine scroll inlet were compared with the experiment data. The results of the simulation were in good agreement with experimental values under both steady and unsteady flow conditions.