1,014 research outputs found
On laminar and turbulent friction
Report deals, first with the theory of the laminar friction flow, where the basic concepts of Prandtl's boundary layer theory are represented from mathematical and physical points of view, and a method is indicated by means of which even more complicated cases can be treated with simple mathematical means, at least approximately. An attempt is also made to secure a basis for the computation of the turbulent friction by means of formulas through which the empirical laws of the turbulent pipe resistance can be applied to other problems on friction drag. (author
Dilaton thin-shell wormholes supported by a generalized Chaplygin gas
In this article, we construct spherical thin-shell wormholes with charge in
dilaton gravity. The exotic matter required for the construction is provided by
a generalized Chaplygin gas. We study the stability under perturbations
preserving the symmetry. We find that the increase of the coupling between the
dilaton and the electromagnetic fields reduces the range of the parameters for
which stable configurations are possible.Comment: 14 pages, 6 figures. v3: typos correcte
Thin-shell wormholes with a generalized Chaplygin gas
In this article, spherically symmetric thin-shell wormholes supported by a
generalized Chaplygin gas are constructed and their stability under
perturbations preserving the symmetry is studied. Wormholes with charge and
with a cosmological constant are analyzed and the results are compared with
those obtained for the original Chaplygin gas, which was considered in a
previous work. For some values of the parameters, one stable configuration is
also present and a new extra unstable solution is found.Comment: 14 pages, 6 figures; v2: typos corrected and minor rewordin
Gravitationally Collapsing Shells in (2+1) Dimensions
We study gravitationally collapsing models of pressureless dust, fluids with
pressure, and the generalized Chaplygin gas (GCG) shell in (2+1)-dimensional
spacetimes. Various collapse scenarios are investigated under a variety of the
background configurations such as anti-de Sitter(AdS) black hole, de Sitter
(dS) space, flat and AdS space with a conical deficit. As with the case of a
disk of dust, we find that the collapse of a dust shell coincides with the
Oppenheimer-Snyder type collapse to a black hole provided the initial density
is sufficiently large. We also find -- for all types of shell -- that collapse
to a naked singularity is possible under a broad variety of initial conditions.
For shells with pressure this singularity can occur for a finite radius of the
shell. We also find that GCG shells exhibit diverse collapse scenarios, which
can be easily demonstrated by an effective potential analysis.Comment: 27 pages, Latex, 11 figures, typos corrected, references added, minor
amendments in introduction and conclusion introd
Progress towards a rapid method for conceptual aerodynamic design for transonic cruise
Results are presented from a study aimed at demonstrating the accuracy and efficiency of a lower order aerodynamic prediction method for transonic cruise flows around aircraft configurations, including conventional swept wing-body and also blended wing-body designs. The Viscous Full Potential (VFP) method, coupling the solution of the full potential equations with the integral boundary layer equations can yield data of almost equivalent accuracy as Navier-Stokes based CFD methods but at 0.5% - 2% of the physical time. In addition it is shown, using both the VFP approach and Delayed Detached Eddy Simulation (DDES) that the flow physics of the stall mechanism associated with blended wing-body configurations is far more complex than that experienced on more conventional swept-tapered wings. The mechanism appears to involve an initial tip stall but also involves highly 3D vortical flows inboard on the upper surface of the wing which significantly distorts the transonic shock wave
Stress condensation in crushed elastic manifolds
We discuss an M-dimensional phantom elastic manifold of linear size L crushed
into a small sphere of radius R << L in N-dimensional space. We investigate the
low elastic energy states of 2-sheets (M=2) and 3-sheets (M=3) using analytic
methods and lattice simulations. When N \geq 2M the curvature energy is
uniformly distributed in the sheet and the strain energy is negligible. But
when N=M+1 and M>1, both energies appear to be condensed into a network of
narrow M-1 dimensional ridges. The ridges appear straight over distances
comparable to the confining radius R.Comment: 4 pages, RevTeX + epsf, 4 figures, Submitted to Phys. Rev. Let
An object-oriented approach to hybrid structured/unstructured grid generation
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77270/1/AIAA-1996-32-959.pd
Stability of Chaplygin gas thin-shell wormholes
In this paper we construct spherical thin-shell wormholes supported by a
Chaplygin gas. For a rather general class of geometries we introduce a new
approach for the stability analysis of static solutions under perturbations
preserving the symmetry. We apply this to wormholes constructed from
Schwarzschild, Schwarzschild-de Sitter, Schwarzschild-anti de Sitter and
Reissner-Nordstrom metrics. In the last two cases, we find that there are
values of the parameters for which stable static solutions exist.Comment: 14 pages, 5 figures; v2: minor changes and new references added.
Accepted for publication in Physical Review
Trans-phonon effects in ultrafast nano-devices
We report a novel phenomenon in carbon nanotube (CNT) based devices, the
transphonon effects, which resemble the transonic effects in aerodynamics. It
is caused by dissipative resonance of nanotube phonons similar to the radial
breathing mode, and subsequent drastic surge of the dragging force on the
sliding tube, and multiple phonon barriers are encountered as the intertube
sliding velocity reaches critical values. It is found that the transphonon
effects can be tuned by applying geometric constraints or varying chirality
combinations of the nanotubes
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