Topic
Inertia
About: Inertia is a research topic. Over the lifetime, 12006 publications have been published within this topic receiving 164291 citations.
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TL;DR: In this article, the authors established the commonality of all extended magnetohydrodynamics (MHD) models through the use of suitable variable transformations, and they traced the existence of two Lie-dragged 2-forms, which are closely associated with the canonical momenta of the two underlying species.
Abstract: Through the use of suitable variable transformations, the commonality of all extended magnetohydrodynamics (MHD) models is established. Remarkable correspondences between the Poisson brackets of inertialess Hall MHD and inertial MHD (which has electron inertia, but not the Hall drift) and extended MHD (which has both effects) are established. The helicities (two in all) for each of these models are obtained through these correspondences. The commonality of all the extended MHD models is traced to the existence of two Lie-dragged 2-forms, which are closely associated with the canonical momenta of the two underlying species. The Lie-dragging of these 2-forms by suitable velocities also leads to the correct equations of motion. The Hall MHD Poisson bracket is analyzed in detail, the Jacobi identity is verified through a detailed proof, and this proof ensures the Jacobi identity for the Poisson brackets of all the models.
48 citations
TL;DR: In this paper, a new methodology for online inertia parameters estimation for a rigid space debris captured by a tethered system, based on a new dynamics model of the system where the base satellite (chaser) and the space debris (target) are modeled as rigid bodies and the attachment points of the tether are offset from the centers of mass of the two bodies.
48 citations
TL;DR: In this paper, the authors relax the use of irrotational moments of inertia in the triaxial rotor model for nuclei and investigate the dependence of observables of the model on the electric quadrupole tensor and the inertia tensor.
Abstract: The triaxial rotor model for nuclei is investigated by relaxing the use of irrotational moments of inertia. The dependence of observables of the model on the electric quadrupole tensor, through a triaxiality angle $(\ensuremath{\gamma})$, and on the inertia tensor, through a mixing angle, is illustrated. This formalism provides insights into the physics of triaxial rotations in nuclei.
48 citations
TL;DR: In this paper, the authors investigated the thermal impact of the convective inertia term, which resembles the term used in the Navier-Stokes equation for pure fluids, considering Benard convection in a fluid-saturated porous medium.
Abstract: The thermal impact of the convective inertia term, which resembles the term used in the Navier-Stokes equation for pure fluids, is investigated numerically considering Benard convection in a fluid-saturated porous medium. There has been some theoretical discussion in the archival literature about the correctness of including an inertia term in the form of a velocity divergent. The present study shows numerically that this convective term (inertia) is negligible for most cases and has a negligible effect on the overall heat transfer. The relative importance of the inertia and Forchheimer terms bated on scale analysis is found to agree with the numerical results. This evidence adds strength to the theoretical assessment found in the literature.
48 citations
TL;DR: In this paper, linear response theory is applied to compute the coefficients for inertia, friction, and local stiffness for slow, large scale nuclear collective motion, and it is shown how these coefficients can be defined within a locally harmonic approximation.
48 citations