Mathematical model for bulk modulus of hydraulic oil containing air bubbles

Hydraulic systems have high-power density because its oil transmitting power has high rigidity. However, when air bubbles are mixed into oil, they reduce oil stiffness and decrease system efficiency. This study mitigates this problem by removing air bubbles from the oil using an active bubble elimin...

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Autores principales:	Sayako SAKAMA, Yutaka TANAKA, Hiroyuki GOTO
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2015
Materias:	air entrainment bubble bubble eliminator effective bulk modulus tangent bulk modulus Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/a394510fb64647788d3733e861512cdc
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spelling	oai:doaj.org-article:a394510fb64647788d3733e861512cdc2021-11-26T06:32:14ZMathematical model for bulk modulus of hydraulic oil containing air bubbles2187-974510.1299/mej.15-00347https://doaj.org/article/a394510fb64647788d3733e861512cdc2015-11-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/2/6/2_15-00347/_pdf/-char/enhttps://doaj.org/toc/2187-9745Hydraulic systems have high-power density because its oil transmitting power has high rigidity. However, when air bubbles are mixed into oil, they reduce oil stiffness and decrease system efficiency. This study mitigates this problem by removing air bubbles from the oil using an active bubble elimination device that uses a swirl flow to eliminate air bubbles from a hydraulic fluid. We focus on the relationship between the change in the bulk modulus and elimination of air bubbles from the hydraulic fluid and experimentally measure the bulk modulus of the hydraulic oil with and without air bubbles. Moreover, to clarify the relationship between the amount of air bubbles and the effective bulk modulus of oil, we propose a mathematical model of the bulk modulus of oil containing air bubbles. The experimental results indicate that the effective bulk modulus of oil increases by eliminating the air bubbles in oil, and the curve of the bulk modulus with the bubble eliminator turned off has a small hysteresis depending on whether it is pressurized or depressurized. We investigate the calculation method of the effective bulk modulus by considering the amount of air bubbles and the amount of air being dissolved and released. Finally, we confirm that the effective bulk modulus calculated using the mathematical model agrees well with the experimental results. We conclude that the volume of air contained in the oil and the differences due to the process of dissolving and releasing air significantly influence the bulk modulus of the hydraulic fluid.Sayako SAKAMAYutaka TANAKAHiroyuki GOTOThe Japan Society of Mechanical Engineersarticleair entrainmentbubblebubble eliminatoreffective bulk modulustangent bulk modulusMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 2, Iss 6, Pp 15-00347-15-00347 (2015)
institution	DOAJ
collection	DOAJ
language	EN
topic	air entrainment bubble bubble eliminator effective bulk modulus tangent bulk modulus Mechanical engineering and machinery TJ1-1570
spellingShingle	air entrainment bubble bubble eliminator effective bulk modulus tangent bulk modulus Mechanical engineering and machinery TJ1-1570 Sayako SAKAMA Yutaka TANAKA Hiroyuki GOTO Mathematical model for bulk modulus of hydraulic oil containing air bubbles
description	Hydraulic systems have high-power density because its oil transmitting power has high rigidity. However, when air bubbles are mixed into oil, they reduce oil stiffness and decrease system efficiency. This study mitigates this problem by removing air bubbles from the oil using an active bubble elimination device that uses a swirl flow to eliminate air bubbles from a hydraulic fluid. We focus on the relationship between the change in the bulk modulus and elimination of air bubbles from the hydraulic fluid and experimentally measure the bulk modulus of the hydraulic oil with and without air bubbles. Moreover, to clarify the relationship between the amount of air bubbles and the effective bulk modulus of oil, we propose a mathematical model of the bulk modulus of oil containing air bubbles. The experimental results indicate that the effective bulk modulus of oil increases by eliminating the air bubbles in oil, and the curve of the bulk modulus with the bubble eliminator turned off has a small hysteresis depending on whether it is pressurized or depressurized. We investigate the calculation method of the effective bulk modulus by considering the amount of air bubbles and the amount of air being dissolved and released. Finally, we confirm that the effective bulk modulus calculated using the mathematical model agrees well with the experimental results. We conclude that the volume of air contained in the oil and the differences due to the process of dissolving and releasing air significantly influence the bulk modulus of the hydraulic fluid.
format	article
author	Sayako SAKAMA Yutaka TANAKA Hiroyuki GOTO
author_facet	Sayako SAKAMA Yutaka TANAKA Hiroyuki GOTO
author_sort	Sayako SAKAMA
title	Mathematical model for bulk modulus of hydraulic oil containing air bubbles
title_short	Mathematical model for bulk modulus of hydraulic oil containing air bubbles
title_full	Mathematical model for bulk modulus of hydraulic oil containing air bubbles
title_fullStr	Mathematical model for bulk modulus of hydraulic oil containing air bubbles
title_full_unstemmed	Mathematical model for bulk modulus of hydraulic oil containing air bubbles
title_sort	mathematical model for bulk modulus of hydraulic oil containing air bubbles
publisher	The Japan Society of Mechanical Engineers
publishDate	2015
url	https://doaj.org/article/a394510fb64647788d3733e861512cdc
work_keys_str_mv	AT sayakosakama mathematicalmodelforbulkmodulusofhydraulicoilcontainingairbubbles AT yutakatanaka mathematicalmodelforbulkmodulusofhydraulicoilcontainingairbubbles AT hiroyukigoto mathematicalmodelforbulkmodulusofhydraulicoilcontainingairbubbles
_version_	1718409798503890944

Mathematical model for bulk modulus of hydraulic oil containing air bubbles

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