17,442 research outputs found

### Acoustic radiation patterns for a source in a hard-walled unflanged circular duct

Acoustic radiation patterns are measured over a 320 deg arc for a point source in a finite length, hard walled, unflanged circular duct. The measured results are compared with computed results which are based on the Wiener-Hopf solution for radiation from a semi-infinite unflanged duct. Measurements and computations are presented for frequencies slightly below and slightly above each of the first four higher order radial mode cutoff frequencies. It is found that the computed and measured patterns show better agreement below the mode cut-off frequencies than above and that the agreement is better at lower frequencies that at higher frequencies. The computed radiation patterns do not show fine lobes which are caused by diffraction from the back end of the duct

### Two-component {CH} system: Inverse Scattering, Peakons and Geometry

An inverse scattering transform method corresponding to a Riemann-Hilbert
problem is formulated for CH2, the two-component generalization of the
Camassa-Holm (CH) equation. As an illustration of the method, the multi -
soliton solutions corresponding to the reflectionless potentials are
constructed in terms of the scattering data for CH2.Comment: 22 pages, 3 figures, draft, please send comment

### Elliptic instability in the Lagrangian-averaged Euler-Boussinesq-alpha equations

We examine the effects of turbulence on elliptic instability of rotating
stratified incompressible flows, in the context of the Lagragian-averaged
Euler-Boussinesq-alpha, or \laeba, model of turbulence. We find that the \laeba
model alters the instability in a variety of ways for fixed Rossby number and
Brunt-V\"ais\"al\"a frequency. First, it alters the location of the instability
domains in the $(\gamma,\cos\theta)-$parameter plane, where $\theta$ is the
angle of incidence the Kelvin wave makes with the axis of rotation and $\gamma$
is the eccentricity of the elliptic flow, as well as the size of the associated
Lyapunov exponent. Second, the model shrinks the width of one instability band
while simultaneously increasing another. Third, the model introduces bands of
unstable eccentric flows when the Kelvin wave is two-dimensional. We introduce
two similarity variables--one is a ratio of the Brunt-V\"ais\"al\"a frequency
to the model parameter $\Upsilon_0 = 1+\alpha^2\beta^2$, and the other is the
ratio of the adjusted inverse Rossby number to the same model parameter. Here,
$\alpha$ is the turbulence correlation length, and $\beta$ is the Kelvin wave
number. We show that by adjusting the Rossby number and Brunt-V\"ais\"al\"a
frequency so that the similarity variables remain constant for a given value of
$\Upsilon_0$, turbulence has little effect on elliptic instability for small
eccentricities $(\gamma \ll 1)$. For moderate and large eccentricities,
however, we see drastic changes of the unstable Arnold tongues due to the
\laeba model.Comment: 23 pages (sigle spaced w/figure at the end), 9 figures--coarse
quality, accepted by Phys. Fluid

### The free rigid body dynamics: generalized versus classic

In this paper we analyze the normal forms of a general quadratic Hamiltonian
system defined on the dual of the Lie algebra $\mathfrak{o}(K)$ of real $K$ -
skew - symmetric matrices, where $K$ is an arbitrary $3\times 3$ real symmetric
matrix. A consequence of the main results is that any first-order autonomous
three-dimensional differential equation possessing two independent quadratic
constants of motion which admits a positive/negative definite linear
combination, is affinely equivalent to the classical "relaxed" free rigid body
dynamics with linear controls.Comment: 12 page

### Emissivity for CO_2 at Elevated Pressures

Total absorptivity measurements have been carried out at room temperature as a function of partial pressure of CO_2 and of total pressure using nitrogen as pressurizing gas

### Scanning probe microscopy imaging of metallic nanocontacts

We show scanning probe microscopy measurements of metallic nanocontacts
between controlled electromigration cycles. The nanowires used for the thinning
process are fabricated by shadow evaporation. The highest resolution obtained
using scanning force microscopy is about 3 nm. During the first few
electromigration cycles the overall slit structure of the nanocontact is
formed. The slit first passes along grain boundaries and then at a later stage
vertically splits grains in the course of consuming them. We find that first
the whole wire is heated and later during the thinning process as the slit
forms the current runs over several smaller contacts which needs less power.Comment: 4 pages, 4 figure

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