A second virial theory is presented to study the influence of a slight flexibility on the nematic-smectic A transition in fluids of freely rotating hard rods. The spinodal is loc~ted by performing a bifurcation analysis of the equation describing the single-particle distribution function. A closed expression for the structure factor is also derived. The structure factor diverges at the spinodal...

Abstract. We investigate the equations of anisotropic incompressible viscous fluids in R, rotating around an inhomogeneous vector B(t, x1, x2). We prove the global existence of strong solutions in suitable anisotropic Sobolev spaces for small initial data, as well as uniform local existence result with respect to the Rossby number in the same functional spaces under the additional assumption th...

In a previous publication [O. A. M. Boote and P. J. Thomas, Phys. Fluids 11, 2020 (1999)10.1063/1.870065], we described a new banding pattern developing from particle segregation in particle-laden flow inside a partially fluid-filled, horizontal, rotating cylinder. Here we discuss long-term observations lasting up to several weeks revealing that the system can display an extremely rich spatiote...

We study the slow singular limit for planar anharmonic oscillatory motion of a charged particle under the influence of a perpendicular magnetic field when the mass of the particle goes to zero. This model has been used by the authors as a toy model for exploring variational high order approximations to the slow dynamics in rotating fluids. In this paper, we address the long time validity of the...

The Navier-Stokes-Coriolis system is a simple model for rotating fluids, which allows to study the influence of the Coriolis force on the dynamics of three-dimensional flows. In this paper, we consider the NSC system in an infinite three-dimensional layer delimited by two horizontal planes, with periodic boundary conditions in the vertical direction. If the angular velocity parameter is suffici...

Standard spectral codes for full sphere dynamics utilize a combination of spherical harmonics and suitableradial basis to represent fluid variables. These functions have rotational invariance not present ingeophysical flows. Gyroscopic alignment - along the axis rotation is ahallmark geophysical fluids in rapidly rotating regime. The Taylor-Proudman theorem, resultingfrom dominant balance Corio...

Morphological asymmetry is a common feature of animal body plans, from shell coiling in snails to organ placement in humans. The signaling protein Nodal is key for determining this laterality. Many vertebrates, including humans, use cilia for breaking symmetry during embryonic development: rotating cilia produce a leftward flow of extracellular fluids that induces the asymmetric expression of N...

We review the different aspects of the interaction of mesoscopic quantum systems with gravitational fields. We first discuss briefly the foundations of general relativity and quantum mechanics. Then, we consider the non-relativistic expansions of the Klein-Gordon and Dirac equations in the post-Newtonian approximation. After a short overview of classical gravitational waves, we discuss two prop...

In this work we present a numerical study of a mixing process used for the heating of highly viscous fluids. The two rod rotating mixer in question generates chaotic flow streams by means of temporal modulations of velocity. Mixing and heating performances are shown to be dependant on the direction of rotation, as well as other geometrical and physical parameters. We also reveal the self-simila...

We report the existence of self-organization in wet granular media or slurries, mixtures of particles of different sizes dispersed in a lower density liquid. As in the case of dry granular mixtures, axial banding (alternating bands rich in small and large particles in a long rotating cylinder) and radial segregation (in quasi-2D containers) are observed in slurries. However, when compared with ...