Mechanical model of the Lorentz force and Coulomb interaction

• Autorzy: Valery Dmitriyev
• Języki publikacji: EN

Abstrakty

EN

The centripetal and Coriolis accelerations experienced by a cart traveling over a rotating turntable are usually calculated proceeding from the known kinematics of the problem. Respective forces can be regarded as due to the entrainment of the cart in the moving solid environs. We extend the approach to the general case of a particle entrained in the flow of the surrounding medium. The expression for the driving force on the particle obtained from the kinematics of the entrainment prescribed appears to be isomorphic to the Lorentz and Coulomb force on a positive electric charge. The inverse direction of the electromagnetic force on a negative charge implies that a growing applied flow induces the upstream motion of the particle. A possible microscopic mechanism for it may be the Magnus force dynamics of a kink in a vortex tangle. The loop on a straight vortex filament can be taken as a model of the electron, the loop with a cavitation models the positron. The Lorentz force is concerned with the Coriolis acceleration. The Coulomb interaction is due to the centripetal or centrifugal force that arises in the turbophoresis of the kink in the perturbation field generated in the medium by the center of pressure.

Słowa kluczowe

EN

generalized Coriolis Lagrangian mechanics; fluid dynamics; electromagnetic interaction; electromechanical analogy

• Czasopismo: Open Physics
• Rocznik: 2008
• Tom: 6
• Numer: 3
• Strony: 711-716

Daty

wydano

2008-09-01

online

2008-07-17

Twórcy

autor

Valery Dmitriyev

• Lomonosov University, P.O.Box 160, Moscow, 117574, Russia,

Bibliografia

• [1] H. Goldstein, Classical mechanics, 1st ed. (Addison-Wesley, Cambridge, MA, 1950)
• [2] V.P. Dmitriyev, Meccanica 42, 283 (2007) http://dx.doi.org/10.1007/s11012-007-9053-y[Crossref]
• [3] E.R. Huggins, Phys. Rev. A 1, 327 (1970) http://dx.doi.org/10.1103/PhysRevA.1.327[Crossref]
• [4] A.H. M. Eisenga, R. Verzicco, G.J.F. van Heijst, J. Fluid Mech. 354, 215 (1998) http://dx.doi.org/10.1017/S0022112097007702[Crossref]
• [5] K. Shariff, A. Leonard, Annu. Rev. Fluid Mech. 24, 235 (1992) http://dx.doi.org/10.1146/annurev.fl.24.010192.001315[Crossref]
• [6] V.P. Dmitriyev, J. Appl. Math. 2, 241 (2002) http://dx.doi.org/10.1155/S1110757X02110199[Crossref]
• [7] V.P. Dmitriyev, Am. J. Phys. 73, 563 (2005) http://dx.doi.org/10.1119/1.1873892[Crossref]
• [8] V.P. Dmitriyev, Z. Naturforsch. A 48, 935 (1993)
• [9] K.W. Shwarz, Phys. Rev. B 38, 2398 (1988) http://dx.doi.org/10.1103/PhysRevB.38.2398[Crossref]
• [10] E.M. Kelly, Nuov. Cim. B 32, 117 (1976) http://dx.doi.org/10.1007/BF02726748[Crossref]
• [11] M.W. Reeks, J. Aerosol Science 310, 729 (1983) http://dx.doi.org/10.1016/0021-8502(83)90055-1[Crossref]

Identyfikatory

DOI

10.2478/s11534-008-0052-y