Viscous and magnetic force acting in a high speed solenoid valve

• Autorzy: Goraj R.

Identyfikatory

DOI

10.12913/22998624/65124

• Języki publikacji: EN

Abstrakty

EN

Viscous and the magnetic force acting on the armature of a high speed solenoid valve (SV) during its closure movement were identified numerically using a novel computational method. The numerical solutions were compared to the analytical ones. The derivation steps of the analytical formulas were presented. The convergence of the numerical solution was shown in figures. The deviation between the numerically and analytically obtained forces was listed in tables. The distribution of the calculation error was presented in figures by means of the magnitude of the magnetic flux density and the viscous stress.

Słowa kluczowe

EN

solenoid valve; armature; viscous force; Laplace operator; magnetic force

• Wydawca: Lublin University of Technology ; Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin
• Czasopismo: Advances in Science and Technology. Research Journal
• Rocznik: 2016
• Tom: Vol. 10, nr 32
• Strony: 132--143
• Opis fizyczny: Bibliogr. 23 poz., fig., tab.

Twórcy

autor

Goraj R.

• Paul Gossen Str. 99, 91052 Erlangen, Germany

Bibliografia

• 1. Angadi S.V., Jackson S. and Choe S. Reliability and life study of hydraulic solenoid valve. Part 1: a multi-physics finite element model. Engineering Failure Analysis, 16(3), 2009, 874–887.
• 2. Bottauscio O., Chiampi M. and Manzin A. Different finite element approaches for electromechanical dynamics. IEEE Transactions on Magnetics, 40(2), 2004, 541–544.
• 3. Deland D. L. Solenoid arrangement with segmented armature member for reducing radial force. Davison, MI (US) Patent US 8,421,568 B2, 2013.
• 4. Epstein M. Differential geometry, basic notions and physical examples. International Publishing, Springer, 2014.
• 5. Getzlaff M. Fundamentals of magnetism. Berlin Heidelberg, Springer 2008.
• 6. Goraj, R. Elektromagnetisches schaltventil. Germany Patent DE 10 2007 023 363 A1, 2007.
• 7. Goraj, R. Impact of the pulse width modulation on the temperature distribution in the armature of the solenoid valve. Int. J. of Applied Mechanics and Engineering, 20(4), 2015, 773–786.
• 8. Goraj, R. Impact of the sleeve thickness on the armature eccentricity in a solenoid valve. Archives of electrical engineering, 65(2), 2016, 371–382.
• 9. Goraj, R. Re-derivation of laplace operator on curvilinear coordinates used for the computation of force acting in solenoid valves. Journal of Applied Mathematics and Computational Mechanics, 15(1), 2016, 25–38.
• 10. Goraj, R. Transformation of the Navier-Stokes equation to the Cauchy Momentum equation using a novel mathematical notation. Applied Mathematics 7, 2016, 1068–1073.
• 11. Greenwood J. A. and Williamson J. B. P. Contact of nominally flat surfaces. Proc Royal Soc London, A295, 1966, 300–19.
• 12. Grybos, R. Zbior zadan z technicznej mechaniki plynow. Wydawnictwo Naukowe PWN, Warszawa 2002.
• 13. Huber B. and Ulbrich H. Modeling and experimental validation of the solenoid valve of a common rail diesel injector. SAE Technical Paper, 2014, 2014–01–0195.
• 14. Kallenbach E. Elektromagnete grundlagen, berechnung, entwurf und anwendung. Electro-magnets basics, calculation, design and application. Teubner Verlag GWV Fachverlage GmbH, Wiesbach 2003.
• 15. Küpfmüller K. and Kohn G. Theoretische elektrotechnik und elektronik. Theoretical Electrical Engineering and Electronics. Springer, Berlin 1993.
• 16. Landau L. D. and Lifshitz E. M. Fluid mechanics. Pergamon Press, Oxford 1966.
• 17. McInerney A. First steps in differential geometry, Riemannian, Contact, Symplectic. Springer, New York 2013.
• 18. Nguyen-Schäfer H. and Schmidt J. P. Tensor analysis and elementary differential geometry for physicists and engineers. Springer, Berlin Heidelberg 2014.
• 19. Peng L., Liyun F., Qaisar H., De X., Xiuzhen M. and Enzhe S. Research on key factors and their in- teraction effects of electromagnetic force of highspeed solenoid valve. The Scientific World Journal. Hindawi Publishing Corporation, 2014.
• 20. Puzyrewski R and Sawicki J. Podstawy mechaniki plynow i hydrauliki. Fundamentals of fluid mechanics and hydraulics. Wydawnictwo Naukowe PWN, Warszawa, 2000.
• 21. Rawa H. Elektrycznosc i magnetyzm w technice. Electricity and magnetism in technics. Wydawnictwo Naukowe PWN, Warszawa, 2001.
• 22. Stefanita C.G. Magnetism, basics and applications. Springer, Berlin Heidelberg 2012.
• 23. Vogel R. Numerische berechnung der ankerreibung eines elektromagnetischen schaltventils, numerical calculation of armature friction in a solenoid valve, B. SC. thesis, Univ. Dortmund, 2006.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.