Solução de problemas simplificados de interação fluido-estrutura aplicados à engenharia de perfuração.

Abstract

In several practical situations there are viscous and incompressible flows through cylindrical annular spaces either resulting from the rotation of one of the cylinders or both (Taylor-Couette flow), or by superposition of the rotation with a movement imposed in the axial direction (flows of Taylor-Couette-Poiseuile or Taylor-Couette spiral). Examples are flows in chemical reactors, bearings and due to drilling of oil and gas wells. The development of a robust numerical platform capable of simulating these types of flows besides classical problems of fluid mechanics is the general objective of this work. Therefore, it was tried to make adjustments in an existing numerical platform so that classic problems such as three-dimensional lid-driven cavity, flow between flat and parallel plates, cylindrical channel, annular cylindrical channel and simplified drilling engineering problems could be studied and characterized. All problems were solved through the numerical solution of the Navier-Stokes equations and mass conservation, with spatial discretization made by the Finite Volume Method and time discretization by the AdamsBashforth method. For the problems with fluid-structure interaction, the immersed boundary method was used, where the distribution and interpolation of the variables are made through Reconstruction by Mobile Least Squares (MLS). The results obtained are presented in qualitative and quantitative form, through tables, graphs, color diagrams for scalar fields, vector fields and streamlines, which are compared with papers in the literature always showing a good agreement.