Study for the numerical resolution of conservation equations of mass, momentum and energy to be applied to solar thermal collectors

Abstract

The aim of this project is to create a software in C++ language that allows to solve numerically the Navier-Stokes equations for cases with simple geometries and presupposing certain hypotheses, as well as the study and comprehension of the equations that govern the fluid dynamics. Furthermore, the procedure applied to cases of conduction and radiation is also introduced. The main purpose is to simulate the fluid-dynamic and thermal behaviour of already well-known cases as a way to verify the results. Principally, The studied problems are: "Smith-Hutton problem”, “Driven Cavity problem” as well as “Differentially heated cavity problem”. Finally, an introduction is done about the phenomenology that characterizes the turbulence as well as the theoretical and practical implementation of 1D cases. 3