FLUID BULK MODULUS: A LITERATURE SURVEY

Authors

  • Hossein Gholizadeh Department of Mechanical Engineering, University of Saskatchewan 57 Campus Drive, Saskatoon, Saskatchewan, Canada, S7N 5A9
  • Richard Burton Department of Mechanical Engineering, University of Saskatchewan 57 Campus Drive, Saskatoon, Saskatchewan, Canada, S7N 5A9
  • Greg Schoenau Department of Mechanical Engineering, University of Saskatchewan 57 Campus Drive, Saskatoon, Saskatchewan, Canada, S7N 5A9

Keywords:

bulk modulus, effective bulk modulus, hydraulic fluid, velocity of sound, adiabatic, isothermal, literature review

Abstract

Fluid bulk modulus is a fluid property that has been studied extensively over the past years. The numerical value of this property depends on the operating conditions, the amount of entrained air, and the way compression is applied and to some extent, the mathematical form it is defined. However, some confusion over what is the most appropriate value to use in simulation and design studies exists. Many significant studies on experimental techniques to measure this property have been proposed but in some instances the actual operating conditions are not well defined or assume a form which may not be consistent with the actual operating conditions. The objective of this paper is to first define some of the more common definitions of bulk modulus and then present a summary of the literature that is based on fluid bulk modulus. Where appropriate, some comments on some of the confusion over definitions will be expanded upon. The pressure and temperature range over which these bulk modulus measurements can be made is dependent on the design of the test apparatus. But generally the pressure range is from the atmospheric pressure to 690 MPa and the temperature range is from - 40 to 270 °C. A companion paper will present a comparison of some of the models that have come out of this literature review.

Downloads

Download data is not yet available.

Author Biographies

Hossein Gholizadeh, Department of Mechanical Engineering, University of Saskatchewan 57 Campus Drive, Saskatoon, Saskatchewan, Canada, S7N 5A9

Hossein Gholizadeh Ph.D. Candidate in the Mechanical Engineering Department, University of Saskatchewan, Canada. He Received his M.Sc. from Iran University of Science and Technology in Tehran, Iran in 2003. His main research interest is in fluid power transmission and control. His current research is focused on fluid bulk modulus and methods of on-line measuring of effective bulk modulus

Richard Burton, Department of Mechanical Engineering, University of Saskatchewan 57 Campus Drive, Saskatoon, Saskatchewan, Canada, S7N 5A9

Richard Burton P.Eng, Ph.D, FASME, Burton is a Professor of Mechanical Engineering, University of Saskatchewan He is involved in research pertaining to the application of intelligent theories to control and monitoring of hydraulics systems, component design, and system analysis. He is a Fellow of ASME, a member of the executive of ASME, FPST Division, and an active member of FPNI. He is a reviewer for most Journals that contain fluid power topics.

Greg Schoenau, Department of Mechanical Engineering, University of Saskatchewan 57 Campus Drive, Saskatoon, Saskatchewan, Canada, S7N 5A9

Greg Schoenau Professor of Mechanical Engineering at the University of Saskatchewan. He was head of that Department from 1993 to 1999. He obtained B.Sc. and M. Sc. Degrees from the University of Saskatchewan in mechanical engineering in 1967 and 1969, respectively. In 1974 he obtained his Ph.D. from the University of New Hampshire in fluid power control systems. He continues to be active in research in this area and in the thermal systems area as well. He has also held positions in numerous outside engineering and technical organizations.

References

ANSI/B93.63M-1984. 1984. Hydraulic Fluid Power-

Petroleum Fluids-Prediction of Bulk Moduli.

Anton Paar. 2011. Anton Paar Company, USA.

http://www.anton-paar.com/Density-Sensor/

_USA_en?productgroup_id=117&Density-

Sensor

Borghi, M., Bussi, C., Milani, M. and Paltrinieri, F.

A Numerical Approach to the Hydraulic Fluids

Properties Prediction. The eighth Scandinavian

International Conference on Fluid Power,

SICFP`03, Tampere, Finland, pp. 715 - 729.

Burton, R. 1971. Indirect Measurement of Operational

Bulk Modulus. Master’s thesis. University of Saskatchewan.

Chu, P. S. Y. and Cameron, A. 1963. Compressibility

and Thermal Expansion of Oils. Institute of Petroleum

- Journal, 49(473), pp. 140 - 145.

Ehlers, F. E. 1960. Method for Measuring Bulk

Modulus of a Liquid using a Helmholtz Resonator.

Journal of the Acoustical Society of America, 32(5),

pp. 538 - 546.

Fox, R. W., Pritchard, P. J. and McDonald, A. T.

Introduction to Fluid Mechanics. U.S.A.,

John Wiley&Sons.

Gholizadeh, H., Bitner, D., Burton, R., Sumner, D.

and Schoenau, G. 2010. Investigation of Experimental

Techniques for the Measurement of the

Efective Bulk Modulus of Oil-Filled Pipes and

Hoses. 7th International Fluid Power Conference,

IFK2010, Aachen, Germany.

Hayward, A. T. J. 1961. Air Bubbles in Oil - their

Effect on Viscosity and Compressibility. Fluid

Handling, 143, pp. 349 - 352.

Hayward, A. T. J. 1963. Research on Lubricants and

Hydraulic Fluids at National Engineering Laboratory.

Scientific Lubrication, 15(3), pp. 112 - 124.

Hayward, A. T. J. 1965a. Compressibility Measurements

on Hydraulic Fluids. Hydraulic pneumatic

power, 11(131), pp. 642 - 646.

Hayward, A. T. J. 1965b. Compressibility of Hydraulic

Fluids. Institute of Petroleum - Journal, 51(494),

pp. 35 - 52.

Hayward, A. T. J. 1967. Compressibility Equations

for Liquids: A Comparative Study. British Journal

of Applied Physics, 18(7), pp. 965 - 977.

Hayward, A. T. J. 1970. How to Estimate the Bulk

Modulus of Hydraulic Fluids. Hydraulic Pneumatic

Power, 16(181) pp. 28 - 40.

Hayward, A. T. J. 1971. How to Measure the Isothermal

Compressibility of Liquids Accurately. Journal

of Physics D (Applied Physics), 4(7), pp. 938 - 50.

Isdale, J. D., Brunton, W. C. and Spence, C. M.

Bulk Modulus Measurement and Prediction.

NEL-591, 28 pp.

ISO/15086-2. 2000. Hydraulic Fluid Power- Determination

of the Fluid Borne Noise Characteristics of

Components and Systems, Part 2: Measurement of

Speed of Sound in a Fluid in a Pipe.

Johnston, D. N. and Edge, K. A. 1991. In situ Measurement

of the Wavespeed and Bulk Modulus in

Hydraulic Lines. Proceedings of the Institution of

Mechanical Engineers, Part I: Journal of Systems

and Control Engineering, 205(13), pp. 191 - 197.

Karjalainen, J., Karjalainen, R., Huhtala, K. and

Vilenius, M. 2005. The Dynamics of Hydraulic

Fluids-Significance, Difference and Measuring.

Bath Workshop on Power Transmission and Motion

Control, PTMC 2005, pp. 437 - 450.

Karjalainen, J., Karjalainen, R., Huhtala, K. and

Vilenius, M. 2007. Fluid Dynamics-Comparison

and Discussion on System Related Differences. The

Tenth Scandinavian International Conference on

Fluid Power, SICFP`07, Tamper, Finland, pp. 371 -

Kim, G. and Wang, K. 2009. On-Line Estimation of

Effective Bulk Modulus in Fluid Power Systems using

Piezoelectric Transducer Impedance. Journal of

Intelligent Material Systems and Structures, Vol.

, No. 17, pp. 2101 - 2106.

Klaus, E. E. and O'Brien, J. A. 1964. Precise Measurement

and Prediction of Bulk Modulus Values for

Fluids and Lubricants. ASME Journal of Basic Engineering,

(D-3), pp. 469 - 474.

Magorien, V. G. 1967. Effects of Air on Hydraulic

Systems. Hydraulics and Pneumatics, 20(10), 128 -

Magorien, V. G. 1968. How Hydraulic Fluids Generate

Air. Hydraulics and Pneumatics, 21(6), 104 -

Magorien, V. G. 1978. Air in Fluid Systems. Its Effect,

Measurement and Removal, BHRA (Br Hydromech

Res Assoc) Fluid Eng, pp. 1 - 18.

Manring, N. D. 1997. The Effective Fluid Bulk

Modulus within a Hydrostatic Transmission. Journal

of Dynamic Systems, Measurement and Control,

, pp. 462 - 465.

Manring, N. D. 2005. Hydraulic Control Systems.

New York, Wiley.

Merritt, H. E. 1967. Hydraulic Control Systems. New

York, Wiley.

Niezrecki, C., Schueller, J. K. and Balasubramanian,

K. 2004. Piezoelectric-Based Fluid Bulk Modulus

Sensor. Journal of Intelligent Material Systems and

Structures, 15(12) pp. 893 - 899.

O'Brien, J. A. 1963. Precise Measurement of Liquid

Bulk Modulus. Master’s thesis. Pennsylvania State

University.

Ruan, J. and Burton, R. 2006. Bulk Modulus of Air

Content Oil in a Hydraulic Cylinder. Proceedings of

ASME International Mechanical Engineering

Congress and Exposition, IMECE2006 - Fluid Power

Systems and Technology Division, pp. 259 - 269.

Smith, L., Peeler, R. and Bernd, L. 1960. Hydraulic

Fluid Bulk Modulus: Its Effects on System Performance

and Techniques for Physical Measurement.

th National Conference on Industrial Hydraulics,

pp. 179 - 197.

Smith, A. C. 1965. Some Notes on Data on Hydraulic

Oil Properties Required by Systems Designers. Scientific

Lubrication, 17(2), pp. 63 - 69.

Song, H. S., Klaus, E. E. and Duda, J. L. 1991. Prediction

of Bulk Moduli for Mineral Oil Based Lubricants,

Polymer Solutions, and several Classes of

Synthetic Fluids. Journal of Tribology, 113 (4), pp.

- 680.

Stecki, J. S. and Davis, D. C. 1981. Hydraulic System

Analysis- Prediction and Measurement of Effective

Bulk Modulus. Basic Fluid Power Research Journal,

(4), pp. 333 - 335.

Temperley, H. N. V. and Trevena, D. H. 1978. Liquids

and their Properties: A Molecular and Macroscopic

Treatise with Applications, Ellis Horwood.

Totten, G. 2000. Handbook of Hydraulic Fluid Technology.

United States of America, Marcel Dekker.

Tropea, C., Yarin, A. and Foss, J. F.,2007Springer

Handbook of Experimental Fluid Mechanics

Springer.

Watton, J. and Xue, Y. 1994. A New Direct Measurement

Method for Determining Fluid Bulk

Modulus in Oil Hydraulic Systems. Proceedings of

FLUCOME'94, Toulouse, France, pp. 543 - 545.

Wright, W. A. 1967. Prediction of Bulk Moduli and

Pressure-Volume-Temperature Data for Petroleum

Oils. ASLE Transactions, 10 (4), pp. 349 - 356.

Yu, J., Chen, Z. and Lu, Y. 1994. Variation of Oil

Effective Bulk Modulus with Pressure in Hydraulic

Systems. Journal of dynamic systems, measurement,

and control, 116 (1), pp. 146 - 150.

Yu, J. and Kojima, E. 2000. Methods for Measuring

the Speed of Sound in the Fluid in Fluid Transmission

Pipes. International Off-Highway & Powerplant

Congress & Exposition, Society of Automotive

Engineers, pp. 83 - 92.

Downloads

Published

2011-11-01

How to Cite

Gholizadeh, H., Burton, R., & Schoenau, G. (2011). FLUID BULK MODULUS: A LITERATURE SURVEY. International Journal of Fluid Power, 12(3), 5–15. Retrieved from https://journals.riverpublishers.com/index.php/IJFP/article/view/430

Issue

Section

Original Article

Most read articles by the same author(s)

1 2 > >>