Abstract. We extend the results on the uniform convergence of Bieberbach polynomials to domains with certain interior zero angles (outward pointing cusps), and show that they play a special role in the problem. Namely, we construct a Keldysh-type example on the divergence of Bieberbach polynomials at an outward pointing cusp and discuss the critical order of tangency at this interior zero angle...

This is an exposition of some results on classification of spherical polygons with prescribed interior angles and prescribed images of vertices under a conformal map onto the unit disk. MSC 2010: 30C20, 34M03.

In the study, the thermal-hydraulic performance of the zigzag channels with circular cross-section was analyzed by Computational Fluid Dynamics (CFD). The standard K-Ꜫ turbulent scalable wall functions were used for modeling. The wall temperature was assumed constant 353 K and water was used as the working fluid. The zigzag serpentine channels with bend angles of 5 - 45° were studied for turbul...

in this article, the size, dimensions, volume, bulk and particle densities, empyting and filling angles of repose and friction coefficients against different surfaces were evaluated for two varieties of barley, sahra and valfajr, as a function of moisture content in the range of 10.12 to 42.17 (w.b.%). most physical properties of barley varieties were significantly affected by moisture content ...

Every (convex) star polygon with n vertices can be associated with a permutation σ on {1, 2, . . . , n}. We give an exact formula to compute the sum of (interior) angles in term of σ. In particular, the sum of angles of the polygon is solely determined by σ. We make use of this formula to derive a recurrence relation concerning the number of star polygons having a particular value of sums of an...

in this work, experimental studies of internal friction coefficient and porosity of four high productive rice varieties in iran (nemat, neda, pajouhesh and pardis) have been presented. moisture content varied in four different ranges between 8 and 20%. the obtained results indicated that the internal friction coefficient decreased with increasing the moisture content from 8 to 11%, then decreas...

some physical properties such as geometrical, gravimetrical, frictional and aerodynamic features of seeds of desi chickpea and its splits were studied at a moisture content of 8.2 and 9.0% w., respectively from north-western of iran. geometrical and gravimetrical properties including the average length, width, thickness, the geometric mean of diameter, sphericity, 1000-seed weight, unit weight,...

The theory of stick-slip is developed, based on the concept of a static and dynamic coefficient of friction. The dynamic coefficient is assumed to be independent of displacement and to depend wholly on normal stress across the surface. It is also assumed to be velocity-independent. The theory predicts that the stress drop during stick-slip is independent of machine stiffness. The displacement d...

This paper reports the numerical determination of the entropy generation due to heat transfer, mass transfer and fluid friction in steady state for laminar double diffusive convection, in an inclined enclosure with heat and mass diffusive walls, by solving numerically the mass, momentum, species conservation and energy balance equations, using a Control Volume FiniteElement Method. The influenc...

We present results from molecular dynamics simulations of a sphere moving down an inclined plane made rough by glueing other spheres to it. The moving sphere experiences an eeective friction force due to collisions with the balls on the plane, and can maintain a steady state with a constant mean velocity for a certain range of inclination angles of the plane. Although the friction force is due ...