engleski

Analysis of the laminar Newtonian fluid flow through a thin fracture modelled as a fluid- saturated sparsely packed porous medium

In this paper we investigate the fluid flow through a thin fracture modelled as a fluid- saturated porous medium. We assume that the fracture has constrictions and that the flow is governed by the prescribed pressure drop between the edges of the fracture. The problem is described by the Darcy- Lapwood-Brinkman (DLB) model acknowledging the Brinkman extension of the Darcy law as well as the flow inertia. Using asymptotic analysis with respect to the thickness of the fracture, we derive the explicit higher- order approximation for the velocity distribution. We make an error analysis to comment on the order of accuracy of the method used and also to provide rigorous justification for the model.

thin fracture ; Darcy-Lapwood-Brinkman equation ; asymptotic analysis ; error estimates

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