TABLE S1: Cd(Re) CORRELATION DATA (SUPPLEMENTARY)
Description
This dataset supports the development and validation of a unified micro–meso–macro modeling framework for high-bandwidth electrohydraulic actuation. It includes CFD-simulated discharge coefficient (Cd) values across 112 Reynolds number cases (Re = 100–5000), experimentally validated frequency response data (magnitude and phase up to 800 Hz), closed-loop bandwidth measurements (650 Hz at −3 dB), and natural frequency results (950 Hz). Data also covers system performance under varying operating pressures (15–21 MPa) and inertial loads (1.5–2.5 kg). Tables summarize model parameters, transient inertia effects (equivalent fluid mass: 12.9 kg), and ablation studies showing errors from neglecting Cd(Re) or fluid inertia. All results are within ±3.2% uncertainty, with 96.8% prediction accuracy. This dataset enables reproducibility of multi-scale dynamics coupling micro-scale flow physics with macro-scale control behavior.
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Steps to reproduce
The unified micro–meso–macro modeling framework can be reproduced as follows: Perform CFD simulations of pilotless servovalve metering edges across Re = 100–5000 using RANS k-ω SST turbulence model with y+ ≈ 1. Extract discharge coefficient Cd from pressure and mass flow data; fit to power-law correlation Cd(Re) = a·Re^b. Couple Cd(Re) into Reynolds transport equation for compressible fluid control volume. Derive state-space model incorporating equivalent fluid inertia (12.9 kg) and damping. Validate experimentally using electrohydraulic actuator test rig under pressures 15–21 MPa and loads 1.5–2.5 kg. Compare open-loop Bode plots (up to 800 Hz) and closed-loop step response for bandwidth (−3 dB at 650 Hz). All parameters and uncertainty bounds (±3.2%) are reported in Tables 4–7 of the manuscript.
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Funders
- Bapuji Institute of Engineering and Technology