A fast lumped parameter approach for the prediction of both aeration and cavitation in Gerotor pumps

In this paper, a lumped parameter approach for predicting cavitation in fluid power systems is described. The modeling approach is based on the homogeneous mixture one fluid model for cavitation and takes into account the effects of compressibility of both the liquid phase and gaseous phase, related to aeration and fluid vaporization. By using the homogeneous mixture theory, equations suitable for lumped parameter models are derived, including the orifice equation to describe flow through hydraulic connections, the constitutive relations, and the pressure built up equations for hydraulic chambers. The proposed equations are then used in the paper to simulate a Gerotor pump under cavitating conditions. Results are validated experimentally for different operating conditions.

[1]  Andrea Vacca,et al.  Modelling of fluid properties in hydraulic positive displacement machines , 2006, Simul. Model. Pract. Theory.

[2]  C. Brennen.  Cavitation and Bubble Dynamics , 1995 .

[3]  Adolfo Senatore,et al.  Modelling Approach on a Gerotor Pump Working in Cavitation Conditions , 2016 .

[4]  Andrea Vacca,et al.  A Novel Approach for the Prediction of Dynamic Features of Air Release and Absorption in Hydraulic Oils , 2013 .

[5]  Andrea Vacca,et al.  Modelling and experimental validation of external spur gear machines for fluid power applications , 2011, Simul. Model. Pract. Theory.

[6]  Donaldson McCloy,et al.  Control of fluid power : analysis and design , 1980 .

[7]  S. Barbarelli,et al.  Zero-dimensional Model and Pressure Data Analysis of a Variable-Displacement Lubricating Vane Pump , 2009 .

[8]  H. E. Merritt,et al.  Hydraulic Control Systems , 1991 .

[9]  Andrea Vacca,et al.  Numerical analysis and experimental validation of Gerotor pumps: A comparison between a lumped parameter and a computational fluid dynamics-based approach , 2017 .

[10]  Monika Ivantysynova,et al.  A Numerical Approach for the Evaluation of the Effects of Air Release and Vapour Cavitation on Effective Flow Rate of Axial Piston Machines , 2010 .

[11]  Hydraulic control systems , 2019 .

[12]  C. Merkle,et al.  Computational modeling of the dynamics of sheet cavitation , 1998 .

[13]  W. Sirignano,et al.  A numerical study on the effects of cavitation on orifice flow , 2010 .

[14]  Andrea Vacca,et al.  A Lumped Parameter Approach for GEROTOR Pumps: Model Formulation and Experimental Validation , 2016 .

[15]  Greg Schoenau,et al.  Fluid Bulk Modulus: Comparison of Low Pressure Models , 2012 .

[16]  A. K. Singhal,et al.  Mathematical Basis and Validation of the Full Cavitation Model , 2002 .

[17]  Adolfo Senatore,et al.  Gerotor pump cavitation monitoring and fault diagnosis using vibration analysis through the employment of auto-regressive-moving-average technique , 2017, Simul. Model. Pract. Theory.

[18]  Matteo Pellegri,et al.  Numerical simulation of Gerotor pumps considering rotor micro-motions , 2017 .

[19]  J. Lowen Shearer,et al.  Fluid power control , 1960 .

[20]  Junjie Zhou,et al.  A novel approach for predicting the operation of external gear pumps under cavitating conditions , 2014, Simul. Model. Pract. Theory.