Vortex motion in the early stages of unsteady flow around a circular cylinder

In this paper, processes in the early stages of vortex motion and the development of flow structure behind an impulsively-started circular cylinder at high Reynolds number are investigated by combining the discrete vortex model with boundary layer theory, considering the separation of incoming flow boundary layer and rear shear layer in the recirculating flow region. The development of flow structure and vortex motion, particularly the formation and development of secondary vortex and a pair of secondary vortices and their effect on the flow field are calculated. The results clearly show that the flow structure and vortices motion went through a series of complicated processes before the symmetric main vortices change into asymmetric: development of main vortices induces secondary vortices; growth of the secondary vortices causes the main vortex sheets to break off and causes the symmetric main vortices to become “free” vortices, while a pair of secondary vortices is formed; then the vortex sheets, after breaking off, gradually extend downstream and the structure of a pair of secondary vortices becomes relaxed. These features of vortex motion look very much like the observed features in some available flow field visualizations. The action of the secondary vortices causes the main vortex sheets to break off and converts the main vortices into free vortices. This should be the immediate cause leading to the instability of the motion of the symmetric main vortices. The flow field structure such as the separation position of boundary layer and rear shear layer, the unsteady pressure distributions and the drag coefficient are calculated. Comparison with other results or experiments is also made.

Social Security, Education, Retirement and Growth

In this paper we analyze the effects of social security policies in an unfunded, earnings-related social security system on the incentives to education investment and voluntary retirement, on growth and on income inequality. Growth is endogenously driven by human capital investment, individuals differ in their innate (learning) ability at birth, and the pension scheme includes a minimum pension. More skilled individuals spend more on education, minimum pensions reduce low skill individuals' incentives to invest in human capital, there is no monotonic relationship between per capita growth and income inequality.

Guided pollards in the Basque Country (Spain) during the Early Modern Ages

Publicado en: "End of Tradition?.Part 1 : History of Commons and Commons Management (Cultural Severance and Commons Past)", edited by Ian D. Rotherham, Mauro Agnoletti and Christine Handley