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Therefore, to obtain an approximate solution numerically, we have to use a discretization method which approximates differential equations by a system of algebraic equations (discretized equations) [17] where the finite volume method may be used as a powerful tool. For this purpose the differential equations can be transformed to algebraic equations (nonlinear equations) by the finite volume method in which the discretized equations must be set up at each of the nodal points [18]. To solve this nonlinear system, an iterative algorithm may be applied, i.e., they begin with an initial guess of the optimal values of the variables and generate a sequence of improved estimates until they reach a solution [19]. The general procedure due to the numerical solution of transport phenomena problems is shown schematically in Figure1.

An Efficient Computational Approach for Laminar Single Phase Flow of a Fluid (A Single Component or a Homogeneous Mixture)