A Study on Methods of Obtaining Partial Differential Equation Models

Partial differential equation (PDE) models arise when the variables of interest are functions of more than one independent variable and all the dependent and independent variables are continuous. Sometimes partial differential equations can also be useful when the independent variables are not all continuous. In this paper we have discussed about navier-stokes equations for the flow of a viscous incompressible fluid, nuclear reactors, transmission line, Mass Balance Equations, Momentum Balance Equations, Variational Balance Equations. Moreover due to viscous dissipation, heat may be generated, temperature may change and to determine this new variable, an additional equation is necessary. This is given by the energy equation