CoChat
Sign Up
Cited by 40Hydraulic and Pneumatic SystemsCavitation Phenomena in PumpsTribology and Lubrication Engineering

The DOI matches its Crossref record.

Theoretical Model of Dynamic Bulk Modulus for Aerated Hydraulic Fluid

Open access
Yuan, Xiaoming, Wang, Weiqi, Zhu, Xuan, Zhang, Lijie·2022·Chinese Journal of Mechanical Engineering
DOI 10.1186/s10033-022-00794-1
Open this paper in CoChat — free account

Abstract

Existing models of bulk modulus for aerated hydraulic fluids primarily focus on the effects of pressure and air fraction, whereas the effect of temperature on bulk modulus is disregarded. Based on the lumped parameter method and the full cavitation model, combined with the improved Henry’s law and the air polytropic course equation, a theoretical model of dynamic bulk modulus for an aerated hydraulic fluid is derived. The effects of system pressure, air fraction, and temperature on bulk modulus are investigated using the controlled variable method. The results show that the dynamic bulk modulus of the aerated hydraulic fluid is inconsistent during the compression process. At the same pressure point, the dynamic bulk modulus during expansion is higher than that during compression. Under the same initial air faction and pressure changing period, a higher temperature results in a lower dynamic bulk modulus. When the pressure is lower, the dynamic bulk modulus of each temperature point is more similar to each other. By comparing the theoretical results with the actual dynamic bulk modulus of the Shell Tellus S ISO32 standard air-containing oil, the goodness-of-fit between the theoretical model and experimental value at three temperatures is 0.9726, 0.9732, and 0.9675, which validates the theoretical model. In this study, a calculation model of dynamic bulk modulus that considers temperature factors is proposed. It predicts the dynamic bulk modulus of aerated hydraulic fluids at different temperatures and provides a theoretical basis for improving the analytical model of bulk modulus.

Overview

Integrity signals

Registry

Crossref · 10.1186/s10033-022-00794-1

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Verification

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Citations

Cites

Still being checked.

Research works printed but not linked: 31

  1. Y Zhu, S N Tang, C Wang, et al. Bifurcation characteristic research on the load vertical vibration of a hydraulic automatic gauge control system. Processes, 2019, 7(10). · DOI
  2. Y Zhu, P F Qian, S N Tang, et al. Amplitude-frequency characteristics analysis for vertical vibration of hydraulic AGC system under nonlinear action. AIP Advances, 2019, 9(3). · DOI
  3. L T Lyu, Z Chen, B Yao. Energy saving motion control of independent metering valves and pump combined hydraulic system. IEEE/ASME Transactions on Mechatronics, 2019, 24(5):1909–1920. · DOI
  4. P Qian, C Pu, L Liu, et al. Development of a new high-precision friction test platform and experimental study of friction characteristics for pneumatic cylinders. Measurement Science and Technology, 2022, 33(6): 065001 · DOI
  5. Y Zhu, S N Tang, C Wang, et al. Absolute stability condition derivation for position closed-loop system in hydraulic automatic gauge control. Processes, 2019, 7(10). · DOI
  6. Q Gao. Nonlinear adaptive control with asymmetric pressure difference compensation of a hydraulic pressure servo system using two high speed on/off valves. Machines, 2022, 10(1): 66. · DOI
  7. J Y Yao, W X Deng. Active disturbance rejection adaptive control of hydraulic servo systems. IEEE Transactions on Industrial Electronics, 2019, 66(10): 8023–8032. · DOI
  8. Z K Yao, J Y Yao, W C Sun. Adaptive rise control of hydraulic systems with multilayer neural-networks. IEEE Transactions on Industrial Electronics, 2019, 66(11): 8638–8647. · DOI
  9. L T Lyu, Z Chen, B Yao. Development of pump and valves combined hydraulic system for both high tracking precision and high energy efficiency. IEEE Transactions on Industrial Electronics, 2019, 66(9): 7189–7198. · DOI
  10. Q Gao, Y Zhu, J H Liu. Dynamics modelling and control of a novel fuel metering valve actuated by two binary-coded digital valve arrays. Machines, 2022, 10(1): 55. · DOI
  11. X M Yuan, X Zhu, C Wang, et al. Research on theoretical model of dynamic bulk modulus of air-containing hydraulic oil. IEEE ACCESS, 2019, 7: 178413–178422. · DOI
  12. J H Seung, S G Yoo, N O Seul, et al. Unknown-parameter estimation of electric-hydraulic servo cylinder based on measurements. IEMEK Journal of Embedded Systems and Applications, 2019, 14(6): 1–7.
  13. L Hruzik, M VaSina, A Burecek A. Evaluation of bulk modulus of oil system with hydraulic line. EDP Sciences, 2013, 45: 01041.
  14. T Bhakta, P Avseth, M Landr. Sensitivity analysis of effective fluid and rock bulk modulus due to changes in pore pressure, temperature and saturation. Journal of Applied Geophysics, 2016, 135: 77–89. · DOI
  15. G Kim, K W Wang. On-line monitoring of fluid effective bulk modulus using piezoelectric transducer impedance. Asme International Mechanical Engineering Congress & Exposition. 2007: 129–136. · DOI
  16. Q P Chen, M M Wu, S Kang, et al. Study on cavitation phenomenon of twin-tube hydraulic shock absorber based on CFD. Engineering Applications of Computational Fluid Mechanics, 2019, 13(1): 1049–1062. · DOI
  17. H Okabe, Y Tanaka, A Watanabe, et al. Cavitation in a spool valve for water hydraulics. IOP Conference Series: Earth and Environmental Science, 2019. · DOI
  18. J Nykanen. Comparison of different fluid models. Bath Workshop on Power Transmission and Motion Control. University of Bath, 2000.
  19. P Righettini, R Strada, S Valilou, et al. Nonlinear model of a servo-hydraulic shaking table with dynamic model of effective bulk modulus. Mechanical Systems and Signal Processing, 2018, 110: 248–259. · DOI
  20. T Kato, Y Xu, T Tanaka, et al. Force control for ultraprecision hybrid electric-pneumatic vertical-positioning device. International Journal of Hydromechatronics, 2021, 4(2): 185–201. · DOI
  21. A M Hurst, J VanDeWeert. A study of bulk modulus, entrained air, and dynamic pressure measurements in liquids. Journal of Engineering for Gas Turbines and Power, 2016, 138(10): 101601–101601 · DOI
  22. A K Singhal, M M Athavale, H Y Li, et al. Mathematical basis and validation of the full cavitation model. Journal of Fluids Engineering, 2002, 124(3): 617–624. · DOI
  23. J Zhou, A Vacca, B Manhartsgruber. A novel approach for the prediction of dynamic features of air release and absorption in hydraulic oils. Journal of Fluids Engineering, 2013, 135(9): 1–8. · DOI
  24. S Sakama, Y Tanaka, H Goto. Mathematical model for bulk modulus of hydraulic oil containing air bubbles. Mechanical Engineering Journal, 2015, 2(6): 1–10. · DOI
  25. A Sojoudi, A Nourbakhsh, H Shokouhmand. Establishing a relationship between hydraulic efficiency and temperature rise in centrifugal pumps: experimental study. Journal of Hydraulic Engineering, 2018, 144(4). https://doi.org/10.1061/(ASCE)HY.1943-7900.0001442 · DOI
  26. W Han, L Xiong, Z P Yu. A novel pressure control strategy of an electro-hydraulic brake system via fusion of control signals. Proceedings of the Institution of Mechanical Engineers Part D Journal of Automobile Engineering, 2019, 233(13): 3342–3357. · DOI
  27. S Kim, U H Murrenhoff. Measurement of effective bulk modulus for hydraulic oil at low pressure. Journal of Fluids Engineering, 2012, 134(2): 1–10. · DOI
  28. F Bin. Research on bulk modulus of hydraulic oil and measuring device. Zhejiang: Zhejiang University, 2011. (in Chinese)
  29. H L Yi, J X Tian. Corresponding states correlation for temperature dependent surface tension of normal saturated liquids. International Journal of Modern Physics B, 2014, 28(25). · DOI
  30. S N Shreya, V Rodriguez-Martinez, M O’Meara, et al. Density, viscosity, and surface tension of five vegetable oils at elevated temperatures: Measurement and modeling. International Journal of Food Properties, 2017, 20(S2): S1965–S1981.
  31. E W Lemmon, R T Jacobsen, S G Penoncello, et, al. Thermodynamic properties of air and mixtures of nitrogen, argon, and oxygen from 60 to 2000 K at pressures to 2000 MPa. Journal of Physical & Chemical Reference Data, 2000, 29(3). · DOI

Cited by

Sorted by citations

See all 40

Metadata

Authors
Yuan, X., Wang, W., Zhu, X., & Zhang, L.
Affiliations
Yanshan University (CN)
Corresponding author
Yuan, Xiaoming
ORCID
Venue
Chinese Journal of Mechanical Engineering
Publisher
Elsevier BV
Published
2022-09-23
Volume
35
Issue
1
ISSN
  • 1000-9345 (ISSN-L)
  • 2192-8258
DOI
10.1186/s10033-022-00794-1
OpenAlex
W4296916705
Cited by
40
References
0
Citations by year
2026: 5 · 2025: 12 · 2024: 9 · 2023: 10 · 2022: 4
FWCI
3.30
Type
journal article
Language
en
Open access
Licence
Locations
  • Chinese Journal of Mechanical Engineering (publishedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Funders
  • National Natural Science Foundation of China (No. 52175066, No.51805468)
  • Natural Science Foundation of Hebei Province (No.E2020203090)
  • Shenzhen Key Laboratory of Neuropsychiatric Modulation (No. 2020XFZB07)
Topics
  • Physical Sciences › Engineering › Mechanical Engineering › Hydraulic and Pneumatic Systems
  • Physical Sciences › Engineering › Mechanical Engineering › Cavitation Phenomena in Pumps
  • Physical Sciences › Engineering › Mechanical Engineering › Tribology and Lubrication Engineering
Keywords
dynamic bulk modulus, temperature effects, Henry's law, cavitation model, air fraction, pressure effects

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Theoretical Model of Dynamic Bulk Modulus for Aerated Hydraulic Fluid. https://app.cochat.ai/papers/10.1186/s10033-022-00794-1
The paper
Yuan, X., Wang, W., Zhu, X., & Zhang, L. (2022). Theoretical Model of Dynamic Bulk Modulus for Aerated Hydraulic Fluid. Chinese Journal of Mechanical Engineering. https://doi.org/10.1186/s10033-022-00794-1