#### Main investigators:

Matteo Pellegri^{*}, Prof. Andrea Vacca^{*}.

__Goal__

__Goal__

__Approach__

__Approach__

Fig1. - Structure of the Gerotor Simulation Tool: interaction between the internal Modules and an external Hydraulic System.

Fig2. - Graphical user interface for the GEROTOR profile generator.

Fig3. - Control Volumes and Intersection with Delivery (red) and Suction (blue) Ports.

Fig4. - (A/B) Area used by the Equivalent Orifice; (C) Tip Clearance and Equivalent Gap Length.

Fig5. - Projected DCV Areas for the Evaluation of Pressure Forces.

Fig6. - Post Processing Add-in Interface.

__Main results__

__Main results__

Fig7. - (A) Comparison Between Measured and Simulated Delivery Pressure Ripple; (B) DCV Pressure

Over One Revolution of the Outer Rotor; (C) Comparison Between Experimental and Simulated

Characteristic Curves.

The model has been validated as concerns the prediction of the instantaneous flow oscillations (pressure ripple) and volumetric efficiency, and measurements were found to be in good accordance with the numerical predictions. At current stage, the model is capable of determining the influence of different designs of the gears or of the input/output port of the unit. Details on the internal flows as well as the instantaneous pressure inside the DCV can also be studied (Figure 7). The model is also capable of automatically identify the effect of geometrical tolerances and the region of contact resulting from the micro-motions of the two rotors (Figure 8). This omni-comprehensive model together with a computational efficient numerical approach, such as the lumped parameter, make the Gerotor simulation tool ideal for characterization and optimization of existing designs and for the study of new ones.

Fig8. - Example of numerical results from the simulation model (A) Tip Clearance Variation Over 1

Revolution of the outer rotor; (B) Arc of Contact for Two Different Interaxis Positions

### Publications

- Pellegri, M., Vacca, A., 2016, Numerical simulation of Gerotor pumps considering rotor micro-motions, A. Meccanica, DOI: 10.1007/s11012-016-0536-6.

- Pellegri, M., Vacca, A., Frosina, E., Buono, D., Senatore, A., 2016, Numerical analysis and experimental validation of Gerotor pumps: A comparison between a lumped parameter and a computational fluid dynamics-based approach, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, DOI: 10.1177/0954406216666874.

- Pellegri, M., Vacca, A., Devendran, R.S., Dautry, E., Ginsberg, B., 2016, A Lumped Parameter Approach for GEROTOR Pumps: Model Formulation and Experimental Validation, 10th Int. Fluid Power Conference, March 8-10, 2016, Dresden, Germany.

- Pellegri, M., Vacca, A., 2015, A CFD-Radial Motion Coupled Model for the Evaluation of the Features of Journal Bearings in External Gear Machines, ASME/Bath 2015 Symposium on Fluid Power and Motion Control, Oct 12-14, 2015, Chicago, IL, USA.

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