Flow ？eld simulation and establishment for mathematical models of flow area of spool valve with sloping U-shape notch machined by different methods
来源期刊：中南大学学报(英文版)2014年第1期
论文作者：Wang Zhao-qiang(王兆强) Gu Lin-yi(顾临怡) Ji Hong(冀宏) chen jia-wang(陈家旺) Li Lin(李林)
文章页码：140 - 150
Key words：spool valve; flow field simulation; flow area; steady state flow force; mathematical model; sloping U-shape notch
Abstract: Precise function expression of the flow area for the sloping U-shape notch orifice versus the spool stroke was derived. The computational fluid dynamics was used to analyze the flow features of the sloping U-shape notch on the spool, such as mass flow rates, flow coefficients, efflux angles and steady state flow forces under different operating conditions. At last, the reliability of the mathematical model of the flow area for the sloping U-shape notch orifice on the spool was demonstrated by the comparison between the orifice area curve derived and the corresponding experimental data provided by the test. It is presented that the bottom arc of sloping U-shape notch (ABU) should not be omitted when it is required to accurately calculate the orifice area of ABU. Although the theoretical flow area of plain bottom sloping U-shape notch (PBU) is larger than that of ABU at the same opening, the simulated mass flow and experimental flow area of ABU are both larger than these of PBU at the same opening, while the simulated flow force of PBU is larger than that of ABU at the same opening. Therefore, it should be prior to adapt the ABU when designing the spool with proportional character.
Wang Zhao-qiang(王兆强)1, Gu Lin-yi(顾临怡)1, Ji Hong(冀宏)2, chen jia-wang(陈家旺)1，Li Lin(李林)1
(1. State Key Laboratory of Fluid Power Transmission and Control (Zhejiang University),
Hangzhou 310027, China;
2. School of Fluid Power and Control Engineering, Lanzhou University of Technology, Lanzhou 730050, China)
Abstract:Precise function expression of the flow area for the sloping U-shape notch orifice versus the spool stroke was derived. The computational fluid dynamics was used to analyze the flow features of the sloping U-shape notch on the spool, such as mass flow rates, flow coefficients, efflux angles and steady state flow forces under different operating conditions. At last, the reliability of the mathematical model of the flow area for the sloping U-shape notch orifice on the spool was demonstrated by the comparison between the orifice area curve derived and the corresponding experimental data provided by the test. It is presented that the bottom arc of sloping U-shape notch (ABU) should not be omitted when it is required to accurately calculate the orifice area of ABU. Although the theoretical flow area of plain bottom sloping U-shape notch (PBU) is larger than that of ABU at the same opening, the simulated mass flow and experimental flow area of ABU are both larger than these of PBU at the same opening, while the simulated flow force of PBU is larger than that of ABU at the same opening. Therefore, it should be prior to adapt the ABU when designing the spool with proportional character.
Key words:spool valve; flow field simulation; flow area; steady state flow force; mathematical model; sloping U-shape notch
