Similarity of the concentration field of gas-phase turbulent jets

This work is an experimental investigation of the turbulent concentration field formed when the nozzle gas from a round, momentum-driven, free turbulent jet mixes with gas entrained from a quiescent reservoir. The measurements, which were made with a non-intrusive laser-Rayleigh scattering diagnostic at Reynolds numbers of 5000, 16000, and 40000, cover the axial range from 20 to 90 jet exit diameters and resolve the full range of temporal and spatial concentration scales. Reynolds-number-independent and Reynolds-number-dependent similarities are investigated. The mean and r.m.s. values of the concentration are found to be consistent with jet similarity laws. Concentration fluctuation power spectra are found to be self-similar along rays emanating from the virtual origin of the jet. The probability density function for the concentration is also found to be self-similar along rays. Near the centreline of the jet, the scaled probability density function of jet fluid concentration is found to be nearly independent of the Reynolds number

Non-Simply-Connected Gauge Groups and Rational Points on Elliptic Curves

We consider the F-theory description of non-simply-connected gauge groups appearing in the E8 x E8 heterotic string. The analysis is closely tied to the arithmetic of torsion points on an elliptic curve. The general form of the corresponding elliptic fibration is given for all finite subgroups of E8 which are applicable in this context. We also study the closely-related question of point-like instantons on a K3 surface whose holonomy is a finite group. As an example we consider the case of the heterotic string on a K3 surface having the E8 gauge symmetry broken to (E6 x SU(3))/Z3 or SU(9)/Z3 by point-like instantons with Z3 holonomy.Comment: 15 pages, 2 embedded figures, some spurious U(1)'s remove

The Cost-Effectiveness of Conservation Payments

Intact ecosystems provide important global services. Many valuable ecosystems are located in low-income countries in which citizens are not in a position to provide global public goods gratis. To address this problem, international conservation and development donors have been making substantial investments in habitat conservation. Among the more common conservation schemes are interventions aimed at encouraging commercial activities that produce ecosystem services as joint products. We argue that it would be more cost-effective to pay for conservation performance directly. We use a simple yet general model to establish three conclusions. First, the overall cost of conservation is least when direct payments are employed. Second, the donor will generally find direct payments more cost-effective. Third, the preferences of donors and eco-entrepreneurs are opposed: when the donor prefers direct payments, the eco-entrepreneur prefers indirect subsidies. There are a number of reasons why direct incentive programs may be difficult to implement. We argue, however, that any approach to conservation will face similar challenges. Furthermore, we demonstrate with an empirical example that direct payment initiatives can offer spectacular cost-savings relative to less direct approaches. We therefore believe that continued experimentation with direct conservation incentives in the developing world is warranted and will prove successful.

IMPROVING BEEF PRODUCTIVITY AND MANAGEMENT: THE POTENTIAL IMPACT ON THE ECONOMY OF NORTHERN MINNESOTA

Livestock Production/Industries,

A molecular dynamics study of the thermal properties of thorium oxide

There is growing interest in the exploitation of the thorium nuclear fuel cycle as an alternative to that of uranium. As part of a wider study of the suitability of thorium dioxide (thoria) as a nuclear fuel, we have used molecular dynamics to investigate the thermal expansion, oxygen diffusion, and heat capacity of pure thoria and uranium doped (1-10%) thoria between 1500K and 3600 K. Our results indicate that the thermal performance of the thoria matrix, even when doped with 10%U, is comparable to, and possibly better than, that of UO2

Bad News for Chordal Partitions

Reed and Seymour [1998] asked whether every graph has a partition into induced connected non-empty bipartite subgraphs such that the quotient graph is chordal. If true, this would have significant ramifications for Hadwiger's Conjecture. We prove that the answer is `no'. In fact, we show that the answer is still `no' for several relaxations of the question