MODIFIED EULER EQUATION MODELING FOR RADIALS TURBOCOMPRESSORS

In order to utilize exhaust gas energy effectively, various engine systems equipped with turbochargers have been proposed based in matching techniques. The matching between internal combustion engines and turbochargers depends on the previous knowledge of flow maps of turbine and compressor. This work presents a radial turbocharger model based in modified Euler equation. This equation was obtained through mass, energy and moment balances for turbine and compressor, considering an adiabatic ideal gas model with polytropics compression and expansion and using thermodynamics properties of stagnation. The Euler equation allows determination of the operation points of the system engine-turbocharger through the knowledge of the thermodynamics properties of exhaustion gases and geometrical characteristics of turbocharger. It still allows the attainment of flow maps of compressors and turbines. The model was validated with experimental flow maps of two turbocompressors measured by [1]: GT12 Garrett, that it equips the VW Gol 1.0 16V Turbo and T2 Garrett, that it equips the FIAT Uno Turbo 1.4 i.e.