Published 1985 | Version v1
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A model to analyse the flow of an incompressible Newtonian fluid through a rigid, homogeneous, isotropic and infinite porous medium

Creators

Description

The flow of an incompressible Newtonian fluid through a rigid, homogeneous, isotropic and infinite porous medium which has a given inicial distribuition of the mentioned fluid, is analyzed. It is proposed a model that assumes that the motion is caused by concentration gradient, but it does not consider the friction between the porous medium and the fluid. We solve an onedimensional case where the mathematical problem is reduced to the solution of a non-linear hyperbolic system of differential equations, subjected to an inicial condition given by a step function, called 'Riemann Problem'. (Author)

Availability note (English)

MF available from INIS under the Report Number.

Abstract (Portuguese)

Analiza-se o escoamento de um fluido Newtoniano incompressivel atraves de um meio poroso rigido, homogeneo, isotropico e infinito que, no instante inicial, possui uma certa distribuicao do referido fluido. E proposto um modelo que leva em conta o fato do movimento ser causado por gradientes de concentracao de fluido, porem nao considera o atrito entre o meio poroso e o fluido. E resolvido um caso unidimensional onde o problema matematico se reduz a solucao de um sistema hiperbolico nao linear de equacoes diferenciais, sujeito a uma condicao inicial do tipo 'degrau', chamado 'Problema de Riemann'. (Autor)

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Additional details

Additional titles

Original title (Portuguese)
Um modelo para escoamento de um fluido Newtoniano atraves de um meio poroso insaturado e infinito

Publishing Information

Imprint Pagination
19 p.
Report number
LCC--012/85

INIS

Country of Publication
Brazil
Country of Input or Organization
Brazil
INIS RN
17019452
Subject category
S42: ENGINEERING;
Descriptors DEI
INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; POROUS MATERIALS; RIEMANN FUNCTION
Descriptors DEC
FLUID FLOW; FUNCTIONS; MATERIALS