Study of Fluid Flow Using Matrix Analysis

Abstract

Fluids are either gases or liquids. Mathematical methods in Chemistry are one of the core subjects in applied mathematics. Fluid dynamics is one of important branch of Mathematical Chemistry deals with study of motion of fluids i.e. liquid, gases and vapors. Fluid flows as a continuum. It is considered as a single entity whiles it in motion. Electricity, heat transfer, light prorogate are various forms of energy are some of the important examples of fluid flow. The all equations of motions of fluid are very important to study and it is important to note that all these equations are expressed in mathematical tools such as differential equations, nonlinear equations partial differential equations. In present paper, we are converting the Nevier-Stokes equations into matrix form. The motion of fluid is studied using properties of matrix such as determinant, rank, eigen value properties are used to study path of the motion of fluid.