In this article, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys. Phase-field model of solidification describes the physics of dendritic growth in any material during the process of under cooling. The numerical procedure in this work is based on finite difference scheme for space and the 4th-order Runge-Kutta method for time discretization. The effect of each physical parameter on the shape and growth of dendritic crystal is studied and visualized in detail.
High Performance concrete (HPC) has received increased attention in the
development of infrastructure Viz., Buildings, Industrial Structures, Hydraulic
Structures, Bridges and Highways etc. leading to utilization of large quantity
of concrete. This paper presents a comprehensive coverage of High Performance concrete
developments in civil engineering field. It highlights the High Performance
concrete features and requirements over conventional concrete. Furthermore,
recent trends with regard to High Performance Concrete development in this area
are explored. This paper also includes effect of Mineral and Chemical
Admixtures used to improve performance of concrete.
Two extensions of
stochastic logistic model for fish growth have been examined. The basic
features of a logistic growth rate are deeply influenced by the carrying
capacity of the system and the changes are periodical with time. Introduction
of a new parameter , enlarges the scope of investing the growthof different fish
species. For rapid growth lying between 1 and 2 and for