Biodiesel is a biofuel produced from vegetable oils and animal fats. The study describes the solar-assisted biodiesel production linseed oil parameter optimization using Taguchi’s L27 orthogonal approach response surface methodology (RSM). A solar paraboloid dish of collector area 6.1 m2 concentration ratio approx. 200 used for transesterification process. Yearly daily radiation data shows that...

In the said treatise Archimedes determines the equilibrium positions of a floating paraboloid segment, but only in the case when the basis of the segment is either completely outside of the fluid or completely submerged. Here we give a mathematical model for the remaining case, i.e., two simple conditions which describe the equilibria in closed form. We provide tools for finding all equilibria ...

This paper focuses on methods of rendering shadows cast by point light sources. The goal is to summarize advantages and disadvantages of methods based on shadow mapping. We compare the traditional approach that exploits cube maps with the Dual–Paraboloid mapping. All of the methods are implemented on the latest hardware and they exploit capabilities of current GPUs. We also implemented optimiza...

Ultra-high concentrator photovoltaics (UHCPV), with concentrations higher than 1000 suns, have been pointed out by different authors as having great potential for being a cost-effective PV technology. This Letter presents a UHCPV Cassegrain-based optical design in which the sunrays are concentrated and sent from four different and independent paraboloid-hyperboloid pairs optical units onto a si...

Рассматриваются безвихревые векторные поля на поверхности, заданной уравнением $a=z+\alpha(x,y,t)=0$. Изучаются условия, при выполнении которых линии таких полей располагаются этой поверхности. Получены достаточные условия существования гармонического векторного с такими векторными линиями. Изучена переопределенная система уравнений в частных производных, решение которой обеспечивает получение ...