The Galerkin weighted residuals method is extended solve the laminar, fully developed flow and heat transfer of Al2O3-water nanofluid inside polygonal ducts with round corners for the constant heat flux and uniform wall temperature boundary conditions. Using the method, semi-analytical, closed-form solutions are obtained for the friction coefficient and the Nusselt number in terms of the radius...

Analytical solutions are presented for laminar fully-developed flow in micro/minichannels of hyperelliptical and regular polygonal cross-sections. The considered geometries cover a wide range of common simply connected shapes including circle, ellipse, rectangle, rhomboid, star-shape, equilateral triangle, square, pentagon, and hexagon. Therefore, the present approach can be considered as a gen...

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This paper addresses the issue of trap design for sensor-less automated assembly. First, we present a simple algorithm that determines in O(nmm(nm) log(nm)) time whether an n-sided polygonal part will fall through an m-sided polygonal trap. We then introduce the notion of a minimal trap for a polygonal part, and develop an O(n 4+") algorithm that designs a family of minimal feeders built from t...

Histological and histochemical studies on the pancreas of goose (Anser albifrons) were carried out using special staining and light microscope. The pancreas in goose is serous tubuloacinar gland having exocrine and endocrine part. Smooth muscle fibres were absent in capsule of pancreas. Acinar cells have bizonal shape. Intralobular ducts, Interlobular and main excretory ducts were present withi...

We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we prove that these groups are non-discrete subgroups of SO(2,R) and we calculate their rank.

histological and histochemical studies on the pancreas of goose (anser albifrons) were carried out using special staining and light microscope. the pancreas in goose is serous tubuloacinar gland having exocrine and endocrine part. smooth muscle fibres were absent in capsule of pancreas. acinar cells have bizonal shape. intralobular ducts, interlobular and main excretory ducts were present withi...