Shell structures have a rich family of boundary layers including internal layers. Each layer has its own characteristic length scale, which depends on the thickness shell. Some these scales are long, something that is not commonly considered in literature. In this work, three types long-range demonstrated over an extensive set simulations. The observed asymptotic behavior consistent with theore...

one of the most important discharge control ways in hydraulic structures is side weir which is used in irrigation, water distribution, waste-water engineering, drainage, flood control and other water related projects.in order to increases cm value and control on water surface when there is restriction in the weir length(l), side weir with different geometry is used. in present research seventhl...

We discuss the probability of random knotting for a model of self-avoiding polygons whose segments are given by cylinders of unit length with radius r. We show numerically that the characteristic length of random knotting is roughly approximated by an exponential function of the chain thickness r. keyword characteristic length, random knotting, self-avoiding polygons, knot invariants,knots PACS...