Flow field simulation and establishment for mathematical models of flow area of spool valve with sloping U-shape notch machined by different methods

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.

Keywords

spool valve / flow field simulation / flow area / steady state flow force / mathematical model / sloping U-shape notch

References

[1] LuL, ZouJ, FuXin. The acoustics of cavitation in spool valve with U-notches [J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2012, 226(5): 540-549

[2] ShoheiR, MasamiO, KatsumiU, FuX, JiHong. Analysis of flow force in valve with notches on spool [C]. The 6th International Conference on Fluid Power Transmission and Control (ICFP’ 2005), 2005, Hangzhou, International Acdemic Publishers World Publishing Corporation: 435-438

[3] JiH, FuX, YangH-yong. Study on steady flow force of non-circular opening spool valve [J]. Chinese Journal of Mechanical Engineering, 2003, 39(6): 13-17

[4] YangR. Hydraulic spool valve metering notch characterization using CFD [C]. ASME International Mechanical Engineering Congress and Exposition (IMECE2003), 2003, Washington DC, American Society of Mechanica Engineering: 11-17

[5] BorghiM. Influence of notch shape and number of notches on the metering characteristics of hydraulic spool valves [J]. International Journal of Fluid Power, 2005, 6(6): 5-18

[6] CaoM, WangK W, DevriesL, FujiI Y, ToblerW E, PietronG M. Experimental characterization and gray-box modeling of spool-type automotive variable-force-solenoid valves with circular flow ports and notches [J]. Journal of Dynamic Systems, Measurement, and Control, 2006, 128(3): 636-654

[7] AmiranteR, DelvescovoG, LippolisA. Evaluation of the flow forces on an open centre directional control valve by means of a computational fluid dynamic analysis [J]. Energy Conversion and Management, 2006, 47(13/14): 1748-1760

[8] AmiranteR, MoscatelliP G, CatalanoL A. Evaluation of the flow forces on a direct (single stage) proportional valve by means of a computational fluid dynamic analysis [J]. Energy Conversion and Management, 2007, 48: 942-953

[9] ZouJ, FuX, DuX-w, RuanX-d, JiH, RyuS, OchiaiM. Cavitation in a non-circular opening spool valve with U-grooves [J]. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2008, 222(4): 413-420

[10] DengJ, ShaoX-m, FuX, ZhengYao. Evaluation of the viscous heating induced jam fault of valve spool by fluid-structure coupled simulations [J]. Energy Conversion and Management, 2009, 50(4): 947-954

[11] JiaW-h, YinC-bo. Computational analysis of the flow characteristics of V-U and U-U notch in spools of valves [C]. The 2nd International Conference on Computer and Automation Engineering (ICCAE), 2010, Piscataway, IEEE Computer Society: 222-225

[12] ChoY L, JangD S, KimK Y. Development of the energy efficient electro-hydraulic system for excavator [C]. The 7th International Fluid Power Conference, 2010, Aachen, Aachen, Apprimus Wissenschaftsver: 245-257

[13] PanX-d, WangG-l, LuZ-sheng. Flow field simulation and a flow model of servo-valve spool valve orifice [J]. Energy Conversion and Management, 2011, 52(10): 3249-3256

[14] DengJ, ShaoX-m, FuXin. An investigation of the temperature distributions inside a spool valve owing to a viscous heating effect [J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2009, 223(11): 2571-2581

[15] GeeS L, HyungJ S, HyunC K, HyunW L. Flow force analysis of a variable force solenoid valve for automatic transmissions [J]. Journal of Fluids Engineering, 2010, 132(3): 031101-031103

[16] BeuneA, KuertenJ G M, HeumenV M P C. CFD analysis with fluid-structure interaction of opening high-pressure safety valves [J]. Computers & Fluids, 2012, 64(15): 108-116

[17] HimadriC, ArindamK, BinodK S, TapasG. Analysis of flow structure inside a spool type pressure regulating valve [J]. Energy Conversion and Management, 2012, 53(1): 196-204

[18] LiuY-f, DaiZ-k, XuX-y, TianLiang. Multi-domain modeling and simulation of proportional solenoid valve [J]. Journal of Central South University of Technology, 2011, 18(5): 1589-1594