Range of validity of weakly non-linear theory in Rayleigh-Bénard problem

In this paper we examine the equilibrium states of finite amplitude flow in a horizontal fluid layer with differential heating between the two rigid boundaries. The solutions to the Navier-Stokes equations are obtained by means of a perturbation method for evaluating the Landau constants and through a Newton-Raphson iterative method that results from the Fourier expansion of the solutions that bifurcate above the linear stability threshold of infinitesimal disturbances. The results obtained from these two different methods of evaluating the convective flow are compared in the neighborhood of the critical Rayleigh number. We find that for small Prandtl numbers the discrepancy of the two methods is noticeable. © 2009 The Physical Society of Japan.

Identifying and correcting non-Markov states in peptide conformational dynamics

Conformational transitions in proteins define their biological activity and can be investigated in detail using the Markov state model. The fundamental assumption on the transitions between the states, their Markov property, is critical in this framework. We test this assumption by analyzing the transitions obtained directly from the dynamics of a molecular dynamics simulated peptide valine-proline-alanine-leucine and states defined phenomenologically using clustering in dihedral space. We find that the transitions are Markovian at the time scale of ˜ 50 ps and longer. However, at the time scale of 30–40 ps the dynamics loses its Markov property. Our methodology reveals the mechanism that leads to non-Markov behavior. It also provides a way of regrouping the conformations into new states that now possess the required Markov property of their dynamics.

Strategic positioning in voluntary and non-profit organizations in the UK : exploring the experiences of British charitable organizations:Exploring the experiences of British Charitable Organizations

This thesis explores the strategic positioning [SP] activities of charitable organizations [COs] within the wider sector of voluntary and non-profit organizations [VNPOs] in the UK. Despite the growing interest in SP for British COs in an increasingly competitive operating environment and changing policy context, there is lack of research in mainstream marketing/strategic management studies on this topic for charities, whilst the specialist literature on VNPOs has neglected the study of SP. The thesis begins with an extended literature review of the concept of positioning in both commercial [for-profit] and charitable organizations. It concludes that the majority of theoretical underpinnings of SP that are prescribed for COs have been derived from the commercial strategy/marketing literature. There is currently a lack of theoretical and conceptual models that can accommodate the particular context of COs and guide strategic positioning practice in them. The research contained in this thesis is intended to fill some of these research gaps. It combines an exploratory postal survey and four cross-sectional case studies to describe the SP activities of a sample of general welfare and social care charities and identifies the key factors that influence their choice of positioning strategies [PSs]. It concludes that charitable organizations have begun to undertake SP to differentiate their organizations from other charities that provide similar services. Their PSs have both generic features, and other characteristics that are unique to them. A combination of external environmental and organizational factors influences their choice of PSs. A theoretical model, which depicts these factors, is developed in this research. It highlights the role of governmental influence, other external environmental forces, the charity’s mission, organizational resources, and influential stakeholders in shaping the charity’s PS. This study concludes by considering the theoretical and managerial implications of the findings on the study of charitable and non-profit organizations.

Laminar heat transfer to non-Newtonian fluids in pipes with abrupt changes in diameter

In this thesis the results of experimental work performed to determine local heat transfer coefficients for non-Newtonian fluids in laminar flow through pipes with abrupt discontinuities are reported. The fluids investigated were water-based polymeric solutiorrs of time-indpendent, pseudoplastic materials, with flow indices "n" ranging from 0.39 to 0.9.The tube configurations were a 3.3 :1 sudden convergence, and a 1: 3.3 sudden divergence.The condition of a prescribed uniform wall heat flux was considered, with both upstream and downstream tube sections heated. Radial temperature traverses were also under­ taken primarily to justify the procedures used in estimating the tube wall and bulk fluid temperatures and secondly to give further insight into the mechanism of heat transfer beyond a sudden tube expansion. A theoretical assessment of the influence of viscous dissipation on a non-Newtonian pseudoplastic fluid of' arbitrary index "n" was carried out. The effects of other secondary factors such as free convection and temperature-dependent consistency were evaluated empirically. In the present investigations, the test conditions were chosen to minimise the effects of natural convection and the estimates of viscous heat generation showed the effect to be insignificant with the polymeric concentrations tested here. The final results have been presented as the relationships between local heat transfer coef'ficient and axial distance downstream of the discontinuities and relationships between dimensionless wall temperature and reduced radius. The influence of Reynolds number, Prandtl number, non-Newtonian index and heat flux have been indicated.

Range of validity of weakly non-linear theory in Rayleigh-Bénard convection

In this paper we examine the equilibrium states of periodic finite amplitude flow in a horizontal channel with differential heating between the two rigid boundaries. The solutions to the Navier-Stokes equations are obtained by means of a perturbation method for evaluating the Landau coefficients and through a Newton-Raphson iterative method that results from the Fourier expansion of the solutions that bifurcate above the linear stability threshold of infini- tesimal disturbances. The results obtained from these two different methods of evaluating the convective flow are compared in the neighbourhood of the critical Rayleigh number. We find that for small Prandtl numbers the discrepancy of the two methods is noticeable.