In this study, a finite volume method on quadrilateral unstructured grids is developed to describe the heat transfer and fluid flow problems which deals with the approximation of the solutions of partial differential equations using a method based on Stokes theorem applied to an unstructured computational mesh. After developing a code for calculating quantitative tests, the method has been used to study the characteristics of complex problems: fully developed flow and heat transfer in various types of duct considering the sinusoidal duct proposed by Zhang [1]. In addition, the solutions for incompressible flow using the Navier-Stokes equations are obtained and compared with the present predictions with the steady state benchmark solutions lid-driven cavity flows for different Re numbers (Ghia et al [2]). The features and advantages of the method are demonstrated by the results obtained for all configurations studied.

numerical method, unstructured grid, heat transfer, fully developed flow, incompressible flow, complex geometry.