Since 1963
ARTICLE
Laminar flow past the bottom with obstacles - a porous medium approximation
| 1 | Institute of Geophysics, Polish Academy of Sciences, Warsaw, Poland |
| 2 | Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland |
CORRESPONDING AUTHOR
Włodzimierz Bielski
Theoretical Geophysics, Institute of Geophysics, Księcia Janusza 64, 01-452, Warszawa, Poland
Theoretical Geophysics, Institute of Geophysics, Księcia Janusza 64, 01-452, Warszawa, Poland
Submission date: 2021-09-17
Final revision date: 2022-05-11
Acceptance date: 2022-06-20
Online publication date: 2022-07-14
Publication date: 2022-07-30
Journal of Theoretical and Applied Mechanics 2022;60(3):509–520
KEYWORDS
TOPICS
ABSTRACT
We provide a model of a stationary laminar flow in a channel at the bottom of which plants
grow in a dense layer. Since this layer of plants is dense, we treat it as a porous medium
and we propose to describe the flow in such a medium by Brinkman’s equation. The flow
in the fluid layer located above (infiltrated by water) the layers of plants is described by
the Stokes equation. We show that such a model gives results consistent with experimental
observations. We indicate also that this new model complements the previously given model
in which the benthonic plants were considered as a suspension, so the previous model referred
to the channel at the bottom of which the plants grew rare. For high permeability of the
porous medium, we arrive at the results obtained for the medium filled with a liquid with a
suspension.
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