doctoralThesis
Fluxo de fluído através de um meio poroso fractal desordenado. Análise das tensões de cisalhamento e efeito de escala na estimativa das forças viscosas
Fecha
2015-03-25Registro en:
BARBOSA, Iderval Alves. Fluxo de fluído através de um meio poroso fractal desordenado. Análise das tensões de cisalhamento e efeito de escala na estimativa das forças viscosas. 2015. 180f. Tese (Doutorado em Ciência e Engenharia de Petróleo) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2015.
Autor
Barbosa, Iderval Alves
Resumen
In this work we have investigated some aspects of the two-dimensional flow of a viscous Newtonian
fluid through a disordered porous medium modeled by a random fractal system similar
to the Sierpinski carpet. This fractal is formed by obstacles of various sizes, whose distribution
function follows a power law. They are randomly disposed in a rectangular channel. The velocity
field and other details of fluid dynamics are obtained by solving numerically of the Navier-Stokes
and continuity equations at the pore level, where occurs actually the flow of fluids in porous
media. The results of numerical simulations allowed us to analyze the distribution of shear
stresses developed in the solid-fluid interfaces, and find algebraic relations between the viscous
forces or of friction with the geometric parameters of the model, including its fractal dimension.
Based on the numerical results, we proposed scaling relations involving the relevant parameters
of the phenomenon, allowing quantifying the fractions of these forces with respect to size classes
of obstacles. Finally, it was also possible to make inferences about the fluctuations in the form of
the distribution of viscous stresses developed on the surface of obstacles.