62,049 research outputs found
Levitation of non-magnetizable droplet inside ferrofluid
The central theme of this work is that a stable levitation of a denser
non-magnetizable liquid droplet, against gravity, inside a relatively lighter
ferrofluid -- a system barely considered in ferrohydrodynamics -- is possible,
and exhibits unique interfacial features; the stability of the levitation
trajectory, however, is subject to an appropriate magnetic field modulation. We
explore the shapes and the temporal dynamics of a plane non-magnetizable
droplet levitating inside ferrofluid against gravity due to a spatially
complex, but systematically generated, magnetic field in two dimensions. The
effect of the viscosity ratio, the stability of the levitation path and the
possibility of existence of multiple-stable equilibrium states is investigated.
We find, for certain conditions on the viscosity ratio, that there can be
developments of cusps and singularities at the droplet surface; this phenomenon
we also observe experimentally and compared with the simulations. Our
simulations closely replicate the singular projection on the surface of the
levitating droplet. Finally, we present an dynamical model for the vertical
trajectory of the droplet. This model reveals a condition for the onset of
levitation and the relation for the equilibrium levitation height. The
linearization of the model around the steady state captures that the nature of
the equilibrium point goes under a transition from being a spiral to a node
depending upon the control parameters, which essentially means that the
temporal route to the equilibrium can be either monotonic or undulating. The
analytical model for the droplet trajectory is in close agreement with the
detailed simulations. (See draft for full abstract).Comment: This article has been published in a revised form in Journal of Fluid
Mechanics http://dx.doi.org/10.1017/jfm.2018.733. Copyright: copyright holde
dS/CFT at uniform energy density and a de Sitter "bluewall"
We describe a class of spacetimes that are asymptotically de Sitter in the
Poincare slicing. Assuming that a dS/CFT correspondence exists, we argue that
these are gravity duals to a CFT on a circle leading to uniform energy-momentum
density, and are equivalent to an analytic continuation of the Euclidean AdS
black brane. These are solutions with a complex parameter which then gives a
real energy-momentum density. We also discuss a related solution with the
parameter continued to a real number, which we refer to as a de Sitter
"bluewall". This spacetime has two asymptotic de Sitter universes and Cauchy
horizons cloaking timelike singularities. We argue that the Cauchy horizons
give rise to a blue-shift instability.Comment: Latex, 13pgs, 2 figs. v2: 14pgs, published version, some rephrasing
of language in terms of Euclidean CFT on a circle, more elaborate discussion
on blueshif
Globalization, oh that versitile villian!
The contemporary phase of economic globalization is regarded by some social scientists as a serious source of problems. There are others who, logically or illogically, consider it a negative, harmful, destructive, marginalizing and malevolent influence over economies and societies. No doubt, globalization can create opportunities for accelerating growth for the participating economies, but it can also pose myriad of challenges to and impose constraints on policymakers. In addition, it is justly blamed for uneven distribution of benefits from globalization. They are badly skewed within countries and between countries. Present policy environment is far from globalization-friendly. This paper focuses on the limitations of globalization in an objective and unbiased manner
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