Stochastic bifurcations and stability of natural convection within two-dimensional square enclosures are investigated by different stochastic modelling approaches. Deterministic stability analysis is carried out first to obtain steady-state solutions and primary bifurcations. It is found that multiple stable steady states coexist, in agreement with recent results, within specific ranges of Rayl...

The onset of monami – the synchronous waving of seagrass beds driven by a steady flow – is modelled as a linear instability of the flow. Unlike previous works, our model considers the drag exerted by the grass in establishing the steady flow profile, and in damping out perturbations to it. We find two distinct modes of instability, which we label modes 1 and 2. Mode 1 is closely related to Kelv...

It is well-known that due to the nature of some ad hoc network applications (e.g. emergency operation, battlefield communication), TCP instability can have a devastating impact on the Quality of Service requirements. As we will show in this paper, TCP instability is truly a cross layer problem which needs to be addressed by considering the interaction of multiple layers with each other. We firs...

   Management of first shoulder dislocation following reduction remains controversial. The two main options are immobilisation and arthroscopic stabilisation. The aim of this article is to highlight some of the issues that influence decision making when discussing management options with these patients, including natural history of the first time dislocation, outcomes of surgery and non-operati...

The energy gradient theory has been proposed with the aim of better understanding the mechanism of flow transition from laminar flow to turbulent flow. In this theory, it is suggested that the transition to turbulence depends on the relative magnitudes of the energy gradient amplifying the disturbance and the viscous friction damping that disturbance. For a given flow geometry and fluid propert...

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This study describes a general liquefaction flow instability criterion for elastoplastic soils based on the concept of loss of uniqueness. We apply the criterion to the general case of axisymmetric loading and invoke the concepts of effective stresses and loss of controllability to arrive at a general criterion for the onset of liquefaction flow. The criterion is used in conjunction with an ela...