Analytical solutions are presented for laminar fully developed flow in micro-/ minichannels of hyperelliptical and regular polygonal cross sections in the form of compact relationships. The considered geometries cover a wide range of common simply connected shapes including circle, ellipse, rectangle, rectangle-with-round-corners, rhombus, star-shape, equilateral triangle, square, pentagon, and...

This paper deals with transmission theory of plane electromagnetic waves in free space and in cylindrical regions of arbitrary cross section. Transmission properties of such waves can be expressed very simply in the same terms as the properties of electric waves guided by a pair of parallel wires. The earlier parts of the paper are concerned with general theorems and the latter parts with their...

In this paper, surface waves in the presence of an infinite periodic array of obstacles of rectangular cross-section are considered. Rayleigh–Bloch surface waves are described by a localised wave motion which does not propagate energy away from the array. The periodicity of the array implies the existence of a cut-off frequency below which Rayleigh–Bloch surface waves may be sought. Such soluti...

Long glass fiber-reinforced polypropylene (LGFR-PP) composite structures with stiffeners are important substitutes for metal parts vehicle lightweighting; a good understanding of the buckling characteristics LGFR-PP would provide an reference engineering design. The current work is therefore intended to study different cross-sectioned under axial compression via experimental and theoretical ana...

We present a new semi-discrete central scheme for one-dimensional shallow water flows along channels with non-uniform rectangular cross sections and bottom topography. The scheme preserves the positivity of the water height, and it is preserves steady-states of rest (i.e., it is wellbalanced). Along with a detailed description of the scheme, numerous numerical examples are presented for unstead...

We consider Taylor-Aris dispersion in columns of nearly rectangular cross section of large aspect ratio. We generalize the results of [1] and [2] who showed that the effective diffusion rate for perfectly rectangular cross sections is remarkably different than the diffusion rate between two parallel plates – as the aspect ratio goes to infinity, the effective diffusion rate does not approach th...

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Article history: Received: 08.11.2013. Received in revised form: 12.01.2013. Accepted: 14.01.2014. The grinding roller shaft is a key part of the grinding roller. It has a step-shaped shaft with different round cross-sections and 1850 mm × 1110 mm rectangular cross-section. If the general method of free forging is used, the upsetting diameter of ingot will reach 2900 mm, and 8400 t hydraulic pr...