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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

IMPACT FACTOR 2017: 1.414

CiteScore 2018: 1.15

SCImago Journal Rank (SJR) 2018: 0.370
Source Normalized Impact per Paper (SNIP) 2018: 0.431

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Volume 72, Issue 3


Analysis of the Laminar Newtonian Fluid Flow Through a Thin Fracture Modelled as a Fluid-Saturated Sparsely Packed Porous Medium

Igor Pažanin / Pradeep G. Siddheshwar
Published Online: 2016-12-19 | DOI: https://doi.org/10.1515/zna-2016-0321


In this article 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 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.

Keywords: Asymptotic Analysis; Darcy-Lapwood-Brinkman Equation; Error Estimates; Thin Fracture


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About the article

Received: 2016-08-26

Accepted: 2016-11-14

Published Online: 2016-12-19

Published in Print: 2017-03-01

Citation Information: Zeitschrift für Naturforschung A, Volume 72, Issue 3, Pages 253–259, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2016-0321.

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