4,863 research outputs found
Non-classical symmetries and the singular manifold method: A further two examples
This paper discusses two equations with the conditional Painleve property.
The usefulness of the singular manifold method as a tool for determining the
non-classical symmetries that reduce the equations to ordinary differential
equations with the Painleve property is confirmed once moreComment: 9 pages (latex), to appear in Journal of Physics
Soliton Solutions to the Einstein Equations in Five Dimensions
We present a new class of solutions in odd dimensions to Einstein's equations
containing either a positive or negative cosmological constant. These solutions
resemble the even-dimensional Eguchi-Hanson--(anti)-de Sitter ((A)dS) metrics,
with the added feature of having Lorentzian signatures. They provide an
affirmative answer to the open question as to whether or not there exist
solutions with negative cosmological constant that asymptotically approach
AdS, but have less energy than AdS. We present
evidence that these solutions are the lowest-energy states within their
asymptotic class.Comment: 9 pages, Latex; Final version that appeared in Phys. Rev. Lett; title
changed by journal from original title "Eguchi-Hanson Solitons
A generalized linear Hubble law for an inhomogeneous barotropic Universe
In this work, I present a generalized linear Hubble law for a barotropic
spherically symmetric inhomogeneous spacetime, which is in principle compatible
with the acceleration of the cosmic expansion obtained as a result of high
redshift Supernovae data. The new Hubble function, defined by this law, has two
additional terms besides an expansion one, similar to the usual volume
expansion one of the FLRW models, but now due to an angular expansion. The
first additional term is dipolar and is a consequence of the existence of a
kinematic acceleration of the observer, generated by a negative gradient of
pressure or of mass-energy density. The second one is quadrupolar and due to
the shear. Both additional terms are anisotropic for off-centre observers,
because of to their dependence on a telescopic angle of observation. This
generalized linear Hubble law could explain, in a cosmological setting, the
observed large scale flow of matter, without to have recourse to peculiar
velocity-type newtonian models. It is pointed out also, that the matter dipole
direction should coincide with the CBR dipole one.Comment: 9 pages, LaTeX, to be published in Class. Quantum Gra
Locally extracting scalar, vector and tensor modes in cosmological perturbation theory
Cosmological perturbation theory relies on the decomposition of perturbations
into so-called scalar, vector and tensor modes. This decomposition is non-local
and depends on unknowable boundary conditions. The non-locality is particularly
important at second- and higher-order because perturbative modes are sourced by
products of lower-oder modes, which must be integrated over all space in order
to isolate each mode. However, given a trace-free rank-2 tensor, a locally
defined scalar mode may be trivially derived by taking two divergences, which
knocks out the vector and tensor degrees of freedom. A similar local
differential operation will return a pure vector mode. This means that scalar
and vector degrees of freedom have local descriptions. The corresponding local
extraction of the tensor mode is unknown however. We give it here. The
operators we define are useful for defining gauge-invariant quantities at
second-order. We perform much of our analysis using an index-free
`vector-calculus' approach which makes manipulating tensor equations
considerably simpler.Comment: 13 pages. Final version to appear in CQ
M-Branes on k-center Instantons
We present analytic solutions for membrane metric function based on
transverse -center instanton geometries. The membrane metric functions
depend on more than two transverse coordinates and the solutions provide
realizations of fully localized type IIA D2/D6 and NS5/D6 brane intersections.
All solutions have partial preserved supersymmetries.Comment: 22 pages, 5 figure
Robust design optimisation of gas turbine compression systems
Engineering design commonly assumes nominal values for uncertain parameters to simplify the design process: the design of a gas turbine, or one of its modules, is generally approached with some specific operating conditions in mind (its design point). Unfortunately, engine components never exactly meet their specifications and do not operate at just one condition, but over a range of power settings. This simplification can then lead to a product that exhibits performance significantly worse than nominal in real-world conditions. This problem is exacerbated in the presence of heavily optimised designs, which tend to lie in extreme regions of the design space.15 In gas turbine design, safe and satisfactory off-design operation must be guaranteed and is generally evaluated before moving to the next phase of the design process. This approach, while guaranteeing that some minimum requirements are met, introduces a further loop in the design process and does not ensure the final design will be optimal with respect to this new requirement. The introduction of some robustness considerations into the design process can reduce the level of fragmentation and iteration typical of gas turbine engine design and produce further (and more robust) improvements relative to the traditional method. In this study, two approaches for dealing with off-design performance analysis are presented, integrated into an automatic optimisation system and applied to the preliminary design of a core compression system from a three-spool modern turbofan engine. Designs that are more robust than those found if only design-point performance is considered are successfully identified
Multi-Objective Optimisation of Aero-Engine Compressors
The design of a new aero-engine compressor is a complex
task: design objectives are almost always conflicting, the
design space is large, nonlinear and highly constrained, and
the effects of some geometrical changes can be difficult to
predict.
Computational fluid dynamics (CFD) is now widely used
in real-world applications and especially in the design of turbomachinery.
However, the large design space and the time
required for the numerical simulation of the whole turbomachine
make the use of CFD in the early phases of the design
process infeasible: preliminary design relies on a number of
physical and empirical relations, still quite similar to those
used in the early history of turbomachinery design.
In this study, 87 independent parameters were used to
define the geometry of a 7-stage compressor, the performance
of which was evaluated using proprietary design
codes for mean-line, multi-stage analysis. The effects on
efficiency and surge margin of changing 44 design variables
were analysed and their optimal values found by means
of deterministic (gradient-based) and meta-heuristic (Tabu
Search [TS]) optimisation methods.
The results show clearly how the use of meta-heuristic
optimisation tools can improve the preliminary design of
turbomachinery, allowing a more thorough but still rapid
exploration of the design space to identify the most promising
regions that will then be verified and further analysed
with higher fidelity tools.
The results also reveal the impact of introducing various
constraints into the design process, highlighting the effects
of design decomposition
Detection of <em>Candida albicans</em> DNA from blood samples using a novel electrochemical assay
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