7,669 research outputs found

    Marginally unstable Holmboe modes

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    Marginally unstable Holmboe modes for smooth density and velocity profiles are studied. For a large family of flows and stratification that exhibit Holmboe instability, we show that the modes with phase velocity equal to the maximum or the minimum velocity of the shear are marginally unstable. This allows us to determine the critical value of the control parameter R (expressing the ratio of the velocity variation length scale to the density variation length scale) that Holmboe instability appears R=2. We then examine systems for which the parameter R is very close to this critical value. For this case we derive an analytical expression for the dispersion relation of the complex phase speed c(k) in the unstable region. The growth rate and the width of the region of unstable wave numbers has a very strong (exponential) dependence on the deviation of R from the critical value. Two specific examples are examined and the implications of the results are discussed.Comment: Submitted to Physics of Fluid

    From gatekeepers to gateway constructors: Credit rating agencies and the financialisation of housing associations

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    This paper uses the twin metaphors of ‘gatekeeper’ and ‘gateway constructor’ as devices to explore the role of Credit Rating Agencies (CRAs) as intermediaries between global corporate finance and specific institutions – housing associations in England. The analysis utilises a financialisation framing, whereby the practices, logics and measurements of finance capital, increasingly permeate government, institutional and household behaviour and discourse. This paper examines how housing associations have increasingly resorted to corporate bond finance, partly in response to reductions in government funding, and in the process engaged with CRAs. Surprisingly little research has been undertaken on the role and function of CRAs, and their impact on the organisations they rate. The case of housing associations (HAs) is of particular interest, given their historical social mission to build and manage properties to meet housing need, rather than operate as commercial private landlords conversant with market-based rationales. A case study of the large London-based HAs draws on a narrative and financial analysis of annual reports, supplemented by semi-structured interviews with senior HA finance officers to explore how CRA methodologies have been internalised and have contributed to changes in strategic and operational activities. We conclude that CRAs act both as a gatekeeper to the financial markets but also as a gateway constructor for the financial markets to enter new arenas, such as the HA sector. This dual nature of CRAs is intended as our contribution to emerging debates about the nature, the practice and the impact of financialisation on public services

    Glider measurements of overturning in a Kelvin-Helmholtz billow train

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    The prospects for glider-based measurement of turbulence statistics are assessed using direct numerical simulation data representing breaking Kelvin-Helmholtz (KH) billows in a stratified, parallel shear flow. Transects tilted upstream against the shear tend to produce overestimates of overturning; those tilted with the shear produce underestimates. Low-angle transects can produce illusory overturning as the braid between the KH billows is crossed. Statistical features of the bias in displacement scales are related to geometrical aspects of KH billows. Results are interpreted in the context of a hypothetical effort to characterize overturning in a strongly sheared current (e.g. the Equatorial Undercurrent) using nonvertical profiles

    Stratified shear flow instabilities at large Richardson numbers

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    Numerical simulations of stratified shear flow instabilities are performed in two dimensions in the Boussinesq limit. The density variation length scale is chosen to be four times smaller than the velocity variation length scale so that Holmboe or Kelvin-Helmholtz unstable modes are present depending on the choice of the global Richardson number Ri. Three different values of Ri were examined Ri =0.2, 2, 20. The flows for the three examined values are all unstable due to different modes namely: the Kelvin-Helmholtz mode for Ri=0.2, the first Holmboe mode for Ri=2, and the second Holmboe mode for Ri=20 that has been discovered recently and it is the first time that it is examined in the non-linear stage. It is found that the amplitude of the velocity perturbation of the second Holmboe mode at the non-linear stage is smaller but comparable to first Holmboe mode. The increase of the potential energy however due to the second Holmboe modes is greater than that of the first mode. The Kelvin-Helmholtz mode is larger by two orders of magnitude in kinetic energy than the Holmboe modes and about ten times larger in potential energy than the Holmboe modes. The results in this paper suggest that although mixing is suppressed at large Richardson numbers it is not negligible, and turbulent mixing processes in strongly stratified environments can not be excluded.Comment: Submitted to Physics of Fluid

    Secondary literacy across the curriculum: Challenges and possibilities

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    This paper discusses the challenges and possibilities attendant upon successfully implementing literacy across the curriculum initiatives – or ‘school language policies’ as they have come to be known - particularly at the secondary or high school level. It provides a theoretical background to these issues, exploring previous academic discussions of school language policies, and highlights key areas of concern as well as opportunity with respect to school implementation of such policies. As such, it provides a necessary conceptual background to the subsequent papers in this special issue, which focus upon the Secondary Schools’ Literacy Initiative (SSLI) – a New Zealand funded programme that aims to establish cross-curricular language and literacy policies in secondary schools

    Phosphorus fertilizer placement and profitability.

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    Micronutrient fertilization on a typic acrorthox at Manaus, Brazil.

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    Lime and gypsum applications.

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    Lime requirements and downward movement of Ca and Mg.

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