Using both Monte Carlo and numerical techniques, Taylor dispersion in a curved tube at low Dean numbers has been evaluated and the results are in qualitative agreement with those found by Janssen (1976) : Dn2Sc is the controlling parameter with Dell falling to about 0.2 of its straight-tube value at high values of DnaSc. Agreement with available experimental data is generally good. Further, we ...

Gradient flows for energy functionals have been studied extensively in the past. Well known examples are the heat flow or the mean curvature flow. To make sense of the term gradient an inner product structure is assumed. One works on a Hilbert space, or on the tangent space to a manifold, for example. However, it is possible to do without an inner product. The domain of the energy functionals c...

In a bivariate data plot, every two points determine an “elementary slope.” For n points with distinct x-values, there are n(n – 1)/2 elementary slopes. These elementary slopes are examined under the two classical regression assumptions: (1) the regressor variable values are fixed and the error is independent and normal, and (2) the data is bivariate normal. For case (1), it is demonstrated tha...

For each prime number p which does not divide N there is a linear operator Tp acting on Sk(N,C), known as the p-th Hecke operator. (In fact, the Tp stabilize Sk(N,Q).) A modular form which is an eigenvector for all of these linear operators simultaneously is called an eigenform; the space Sk(N,C) has a basis made up of eigenforms, and the Fourier coefficients of these eigenforms can be normaliz...

classification and utilization of lands based on their capability are necessary for sustainable land use management. the purpose of this study was to identify and grade the effective qualities on the rainfed farming in the roin area, north khorasan province, during the year of 2011. based on field observations and literature review the land qualities including climate, rooting conditions, moist...

this paper discusses some of the fundamental considerations when managing mining slopes. the goal of management is to reduce all components that contribute to the geotechnical risk and by doing so reduce the risk to as low as reasonably achievable. the techniques and procedures suggested are not exhaustive; they represent a snapshot of some of the practical techniques the author has found usefu...

Local shape is an important attribute that can be sensed by exploratory movements of the finger. Normally this involves a blend of tactile and proprioceptive cues. A curved surface will deform the pad of a single finger and so tactile cues can indicate whether a surface is convex or concave or whether it slopes one way or another. When more subtle discriminations must be made between different ...

[1] The sculpture of valleys by flowing water is widely recognized, and simplified models of incision by this process (e.g., the stream power law) are the basis for most recent landscape evolution models. Under steady state conditions a stream power law predicts that channel slope varies as an inverse power law of drainage area. Using both contour maps and laser altimetry, we find that this inv...

In order to decrease the fluid dynamic forces of the U-bent tube with a circular section and avoid the occurrence of fluid-structure interaction problems, three-dimensional simulations of fluid flows around the tubes are carried out. In the case that the axis of the curved tube with the circular section is prevented from being normal to the direction of the flows approaching the tube, the forma...