Lagrangian drift in a permeable bottom layer induced by internal gravity waves

The mean drift in a permeable homogeneous bottom layer caused by internal gravity waves in an overlying stratified fluid, is investigated theoretically. We apply a Lagrangian formulation, together with the long-wave approximation, for the motion in the fluid and the fluid-saturated permeable layer....

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Autor principal:	Jan Erik H. Weber
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2021
Materias:	lagrangian wave-induced drift nonlinear internal gravity waves permeable bottom layer flow Oceanography GC1-1581 Meteorology. Climatology QC851-999
Acceso en línea:	https://doaj.org/article/b71b4af4e4834205951b0b0d9a6f3b0c
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spelling	oai:doaj.org-article:b71b4af4e4834205951b0b0d9a6f3b0c2021-12-01T14:40:58ZLagrangian drift in a permeable bottom layer induced by internal gravity waves1600-087010.1080/16000870.2021.1877461https://doaj.org/article/b71b4af4e4834205951b0b0d9a6f3b0c2021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/16000870.2021.1877461https://doaj.org/toc/1600-0870The mean drift in a permeable homogeneous bottom layer caused by internal gravity waves in an overlying stratified fluid, is investigated theoretically. We apply a Lagrangian formulation, together with the long-wave approximation, for the motion in the fluid and the fluid-saturated permeable layer. In the stratified fluid, we assume a constant Brunt-Väisälä frequency and inviscid flow. In the permeable bed, the density is constant. Here we apply a simple macroscopic version of Darcy’s law. For internal waves with frequency a fundamental small parameter in the permeable bed is Here is the effective permeability, and is the overall eddy viscosity, representing the small-scale turbulence of the interstitial fluid. The Lagrangian mean flow in each layer is weakly damped, with a damping rate proportional to and composed of contributions from an infinite, but discrete set of eigen-modes. For each mode the mean drift in the permeable bed is an order smaller than the Stokes drift in internal waves at the bottom of the fluid layer. For spatially damped waves, it is particularly interesting that the wave-induced Eulerian mean current in the permeable bed may exceed the Stokes drift if the bed thickness is smaller than the upper layer thickness. It is suggested that the explored wave-induced particle drift in the permeable bottom layer could provide a physical model for the slow net transport of bio aerosols and smoke particles in the tropical rainforest.Jan Erik H. WeberTaylor & Francis Grouparticlelagrangian wave-induced driftnonlinear internal gravity wavespermeable bottom layer flowOceanographyGC1-1581Meteorology. ClimatologyQC851-999ENTellus: Series A, Dynamic Meteorology and Oceanography, Vol 73, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	lagrangian wave-induced drift nonlinear internal gravity waves permeable bottom layer flow Oceanography GC1-1581 Meteorology. Climatology QC851-999
spellingShingle	lagrangian wave-induced drift nonlinear internal gravity waves permeable bottom layer flow Oceanography GC1-1581 Meteorology. Climatology QC851-999 Jan Erik H. Weber Lagrangian drift in a permeable bottom layer induced by internal gravity waves
description	The mean drift in a permeable homogeneous bottom layer caused by internal gravity waves in an overlying stratified fluid, is investigated theoretically. We apply a Lagrangian formulation, together with the long-wave approximation, for the motion in the fluid and the fluid-saturated permeable layer. In the stratified fluid, we assume a constant Brunt-Väisälä frequency and inviscid flow. In the permeable bed, the density is constant. Here we apply a simple macroscopic version of Darcy’s law. For internal waves with frequency a fundamental small parameter in the permeable bed is Here is the effective permeability, and is the overall eddy viscosity, representing the small-scale turbulence of the interstitial fluid. The Lagrangian mean flow in each layer is weakly damped, with a damping rate proportional to and composed of contributions from an infinite, but discrete set of eigen-modes. For each mode the mean drift in the permeable bed is an order smaller than the Stokes drift in internal waves at the bottom of the fluid layer. For spatially damped waves, it is particularly interesting that the wave-induced Eulerian mean current in the permeable bed may exceed the Stokes drift if the bed thickness is smaller than the upper layer thickness. It is suggested that the explored wave-induced particle drift in the permeable bottom layer could provide a physical model for the slow net transport of bio aerosols and smoke particles in the tropical rainforest.
format	article
author	Jan Erik H. Weber
author_facet	Jan Erik H. Weber
author_sort	Jan Erik H. Weber
title	Lagrangian drift in a permeable bottom layer induced by internal gravity waves
title_short	Lagrangian drift in a permeable bottom layer induced by internal gravity waves
title_full	Lagrangian drift in a permeable bottom layer induced by internal gravity waves
title_fullStr	Lagrangian drift in a permeable bottom layer induced by internal gravity waves
title_full_unstemmed	Lagrangian drift in a permeable bottom layer induced by internal gravity waves
title_sort	lagrangian drift in a permeable bottom layer induced by internal gravity waves
publisher	Taylor & Francis Group
publishDate	2021
url	https://doaj.org/article/b71b4af4e4834205951b0b0d9a6f3b0c
work_keys_str_mv	AT janerikhweber lagrangiandriftinapermeablebottomlayerinducedbyinternalgravitywaves
_version_	1718405016247599104

Lagrangian drift in a permeable bottom layer induced by internal gravity waves

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