Spreading and coating of nano and micro droplets on solid surfaces is important in a wide variety of applications including plasma spray coating, ink jet printing, DNA synthesis and etc. In spraying processes, most of droplets collide obliquely to the surface. The purpose of this article is to study the distribution of nano and micro droplets spreading when droplets impact at an oblique a...

we developed an inventory model for decaying items with selling price dependent demand in inflationary environment. deterioration rate is taken as two parameter weibull distribution. shortages in inventory are allowed with partial backlogging. backlogging rate is taken as exponential decreasing function of time. profit maximization technique is used in this study.

This note is devoted to new sharp lower bounds for exp(x). We first introduce and study a new lower bound defined with polynomial of degree 2 and exponential (or hyperbolic) functions. Then we propose two improvements of this lower bound by using two different approaches; the first approach consists in adding well-chosen polynomial term to it, whereas the second approach aims to transform it fo...

This manuscript presents a new approach to accurately calculating exponential integral function that arises in many applications such as contamination, groundwater flow, hydrological problems and mathematical physics. The calculation is obtained with easily computed components without any restrictive assumptions A detailed comparison of the execution times performed. calculated results by sugge...