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- Title
Non-standard Lagrangians in rotational dynamics and the modified Navier-Stokes equation.
- Authors
El-Nabulsi, Rami
- Abstract
We report some of the implications of non-standard Lagrangians in rotational dynamics. After deriving a new form of the Euler-Lagrange equation from the variational principle for the case of a particle moving in a non-inertial frame and subject to a velocity constraint, we deduce the modified Coriolis force, the modified centrifugal force and the modified transverse force. We then discuss the modified equation of motion relative to Earth, the free-fall problem and the Foucault pendulum issue. We show that the modified dynamics results on a modified Navier-Stokes equation where some features were raised and discussed accordingly.
- Subjects
ROTATIONAL motion; LAGRANGE equations; NAVIER-Stokes equations; EULER-Lagrange equations; NON-inertial frame; CORIOLIS force; FOUCAULT'S pendulum
- Publication
Nonlinear Dynamics, 2015, Vol 79, Issue 3, p2055
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-014-1794-2