In this paper, a fractional-order model is developed for representing the fuel propagation in a specific part of electro-injectors of common rail injection systems. The considered element is a pipe connecting the common rail to the accumulation volume from which the fuel is sent to the nozzles. The model extends the Navier-Stokes partial differential equations that can not be analytically solved in such case. The generalized continuity and momentum equations include different fractional orders of differentiation. Moreover, a novel numerical technique is proposed to find an approximate solution. The approach is tested by comparison with real data
Modeling and Numerical Analysis of Fractional-Order Dynamics in Electro-injectors Pipes / Garrappa, R.; Lino, Paolo; Maione, Guido; Saponaro, Fabrizio. - (2016), pp. 5984-5989. (Intervento presentato al convegno IEEE 54th Annual Conference on Decision and Control, CDC 2015 tenutosi a Osaka, Japan nel December 15-18, 2015) [10.1109/CDC.2015.7403160].
Modeling and Numerical Analysis of Fractional-Order Dynamics in Electro-injectors Pipes
LINO, Paolo;MAIONE, Guido;SAPONARO, FABRIZIO
2016-01-01
Abstract
In this paper, a fractional-order model is developed for representing the fuel propagation in a specific part of electro-injectors of common rail injection systems. The considered element is a pipe connecting the common rail to the accumulation volume from which the fuel is sent to the nozzles. The model extends the Navier-Stokes partial differential equations that can not be analytically solved in such case. The generalized continuity and momentum equations include different fractional orders of differentiation. Moreover, a novel numerical technique is proposed to find an approximate solution. The approach is tested by comparison with real dataI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
