Modeling variable density flow in subsurface and surface water in the vicinity of the boundary between a surface water–atmosphere system and the subsurface

Hibi, Yoshihiko

doi:10.1016/j.jconhyd.2020.103688

Cited by 3 publications

(1 citation statement)

References 36 publications

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“…The intense interest in this class of problem has been driven by the many applications to diverse areas such as heat pipe technology, renewable energy, see e.g. Straughan [50], contaminant dispersal in water ways, Hibi and Tomigashi [25], Hibi [24], or even blood flow in arteries and veins in the human body, see e.g. Sharma and Yadav [47], Tiwari et al [55], Ponalagusamy and Manchi [42], Wajihah and Sankar [57].…”

Section: Introductionmentioning

confidence: 99%

Thermal convection in a linearly viscous fluid overlying a bidisperse porous medium

Dondl¹,

Straughan²

2021

Preprint

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A bidisperse porous medium is one with two porosity scales. There are the usual pores known as macro pores but also cracks or fissures in the skeleton which give rise to micro pores. In this article we develop and analyse a model for thermal convection where a layer of viscous incompressible fluid overlies a layer of bidisperse porous medium. Care has to be taken with the boundary conditions at the interface of the fluid and the porous material and this aspect is investigated. The situation is one in a layer which is heated from below and under appropriate conditions bimodal neutral curves are found. These depend on the ratio d of the depth d of the fluid layer to the depth dm of the porous layer. We show that there is a critical value of d such that below this value convective motion initiates in the porous layer whereas for d above this value the convective instability commences in the fluid layer.

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Section: Introductionmentioning

confidence: 99%

Thermal convection in a linearly viscous fluid overlying a bidisperse porous medium

Dondl¹,

Straughan²

2021

Preprint

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Changes in the salt concentration distribution in surface water (seawater) due to seawater recirculation in a porous medium under tidal fluctuations

Hibi

2022

Journal of Contaminant Hydrology

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Thermal Convection in a Linearly Viscous Fluid Overlying a Bidisperse Porous Medium

Dondl,

Straughan

2024

Stud Appl Math

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A bidisperse porous medium is one with two porosity scales. There are the usual pores known as macropores but also cracks or fissures in the skeleton which give rise to micropores. In this article, we develop and analyze a model for thermal convection where a layer of viscous incompressible fluid overlies a layer of bidisperse porous medium. Care has to be taken with the boundary conditions at the interface of the fluid and the porous material, and this aspect is investigated. We propose two Beavers–Joseph conditions at the interface and we argue that the parameters in these relations should be different since they depend on the macro or micro permeability, and these parameters are estimated from the original experiments of Beavers and Joseph. The situation is one in a layer which is heated from below and under appropriate conditions bimodal neutral curves are found. These can depend on the relative permeability between the macro and micropores, the Beavers–Joseph conditions appropriate to the macro or micropores, the ratio of the depth of the fluid layer to the depth of the porous layer, or generally the nature of the bidisperse medium.

show abstract

Modeling variable density flow in subsurface and surface water in the vicinity of the boundary between a surface water–atmosphere system and the subsurface

Cited by 3 publications

References 36 publications

Thermal convection in a linearly viscous fluid overlying a bidisperse porous medium

Thermal convection in a linearly viscous fluid overlying a bidisperse porous medium

Changes in the salt concentration distribution in surface water (seawater) due to seawater recirculation in a porous medium under tidal fluctuations

Thermal Convection in a Linearly Viscous Fluid Overlying a Bidisperse Porous Medium

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