Stability of power-law discs — II. The global spiral modes

This paper reports on the in-plane normal modes in the self-consistent and the cut-out power-law discs. Although the cut-out discs are remarkably stable to bisymmetric perturbations, they are very susceptible to one-armed modes. For this harmonic, there is no inner Lindblad resonance, thus removing a powerful stabilizing influence. A physical mechanism for the generation of the one-armed instabilities is put forward. Incoming trailing waves are reflected as leading waves at the inner cut-out, thus completing the feedback for the swing-amplifier. Growing three-armed and four-armed modes occur only at very low temperatures. However, neutral m  = 3 and m  = 4 modes are possible at higher temperatures for some discs. The rotation curve index β has a marked effect on stability. For all azimuthal wavenumbers, any unstable modes persist to higher temperatures and grow more vigorously if the rotation curve is rising (β < 0) than if the rotation curve is falling (β > 0). If the central regions or outer parts of the disc are carved out more abruptly, any instabilities become more virulent. The self-consistent power-law discs possess a number of unusual stability properties. There is no natural time-scale in the self-consistent disc. If a mode is admitted at some pattern speed and growth rate, then it must be present at all pattern speeds and growth rates. Our analysis — although falling short of a complete proof — suggests that such a two-dimensional continuum of non-axisymmetric modes does not occur and that the self-consistent power-law discs admit no global non-axisymmetric normal modes whatsoever. Without reflecting boundaries or cut-outs, there is no resonant cavity and no possibility of unstable growing modes. The self-consistent power-law discs certainly admit equi-angular spirals as neutral modes, together with a one-dimensional continuum of growing axisymmetric modes.     

Oily water discharges from offshore North Sea installations: A perspective

Recent attention has been focussed on the need to control oil discharges from offshore installations. This paper examines the controls in force on the UK Continental Shelf, the quantities of oil discharged and the concentrations they produce in the receiving waters. When placed in the perspective of existing coastal oil inputs, offshore discharges are seen to be very minor additions. Attention should be switched to the need for any reductions in coastal inputs of oil.     

Pollution studies in the Firth of Forth

The Firth of Forth, on the east coast of Scotland has hitherto received the untreated wastes of the city of Edinburgh. Some areas of the southern side of the Firth are heavily polluted in consequence. A new sewage treatment scheme will be introduced early in 1976 and a six-year monitoring programme is in progress to measure the efficiency of the new scheme. It is hoped that this work will eventually contribute to a better understanding of the influence of domestic and industrial sewage on the marine and estuarine environment.     

线状要素与面状要素的关系处理

线状要素与面状要素的关系在地图制图综合中是必须处理的。它们的关系在制图综合和景观模型向制图模型的转换中都是必须考虑的。本文主要讨论线状要素与面状要素的关系以及这些关系在数据处理中的保持。     

Qualitative risk assessment of multiple-use marine park effectiveness – A case study from NSW,Australia

Effectiveness of the managed-use zones in six multiple-use marine parks located within New South Wales (NSW), Australia, was assessed using qualitative Ecological Risk Assessment (ERA) techniques. Permitted activities in these managed-use zones displayed considerable variation between individual marine parks within this one jurisdiction (NSW); many activities appeared to be inconsistent with the stated objectives; and, some were considered high risk. For example, in “habitat protection” zones, 24 out of 76 permitted activities were inconsistently applied across the parks and 10 activities were determined to be high risk. ERA indicated that many commercial fishing activities warranted restriction or prohibition in these zones, including trawling, set lining, drift lining, mesh netting and purse seining operations. The best fit between objectives of the managed-use zones and permitted activities was for the most recent park (Batemans Marine Park). Inconsistencies in application of zoning restrictions between these marine parks could lead to stakeholder confusion, unintentional non-compliance and failure to adequately protect the assets. As a result, it is suggested that these managed-use zones may not be achieving their stated objectives and that greater consistency in application of regulations was required. To implement the ERA recommendations, changes would be required across all of the NSW marine parks and this would be best accommodated during a staged review of all zoning plans. It is concluded that ERA is an effective tool to aid in systematically identifying permissible activities in order to meet marine park objectives.     

Phytoplankton, nutrients and hydrography in the frontal zone between the Southwest Indian Subtropical gyre and the Southern Ocean

A survey was made of the Southwest Indian Ocean frontal region between 30 and 50°E containing the Agulhas Return, Subtropical and Subantarctic Fronts. From CTD, SeaSoar and extracted samples the distribution of nitrate, silicate and chlorophyll a is shown to be strongly linked to the front and water mass structure, varying zonally and meridionally. Surface chlorophyll a concentrations were low to the north and south leaving a band of elevated chlorophyll between the Subtropical and Subantarctic Fronts. The low concentration of chlorophyll a to the north, in Subtropical Water, was clearly due to nitrate limitation. Between the Subtropical and Subantarctic Fronts, where the chlorophyll a concentrations were highest, the surface layer showed silicate depletion limiting diatom growth. South of the Subantarctic Front there were deep extending, low concentrations of chlorophyll a, but despite plentiful supplies of macro-nutrients and a well-stratified surface layer, high concentrations of chlorophyll a were absent. Changes from west to east were associated with the meandering of the Southern Ocean Fronts, especially the Subtropical Front, and their strength and proximity to each other. Concentrations of chlorophyll a peaked where the Agulhas Return, Subtropical and Subantarctic Fronts were in close proximity. Combined frontal structures appear to have particularly pronounced vertical stability and are associated with enhanced upwelling of nutrients and leakage of nutrients across the front. Light levels are high within the shallow stable layer. Such conditions are clearly favourable for biological growth and support the development of larger-celled phytoplankton communities.     

A heat engine based moist convection parametrization for Jupiter

We have developed a parametrization of Jovian moist convection based on a heat engine model of moist convection. In comparison to other moist convection schemes, this framework allows the computation of the total available convective energy TCAPE and the corresponding mass flux M as dynamic variables from the mean atmospheric state. The effects of this parametrization have been investigated both analytically and numerically. In agreement with previous numerical experiments and observations, the inclusion of moist convection leads to heat and water vapor transport from the water condensation level into higher altitudes. The time development of the modeled convective events was found to be strongly influenced by a rapid reduction of kinetic energy and a subsequent lowering of the cumulus tower's top in response to convective heating. We have tested the sensitivity of the scheme to different variations in the fractional cloud coverage and under the inclusion of external radiative forcing towards a stable/unstable temperature profile. While the time development of convective events differs in response to these variations, the general moist convective heating and moistening of the upper troposphere was a robust feature observed in all experiments.