Finite element modelling of flow, heat and mass transfer in fluid saturated porous media

Nithiarasu, Perumal; Seetharamu, K. N.; Sundararajan, T.

doi:10.1007/bf02736231

Cited by 58 publications

(48 citation statements)

References 71 publications

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“…The porous medium is considered to be rigid, homogeneous, and isotropic and is saturated with the same single-phase fluid as that in the homogenous fluid region. Considering viscous and inertial effects, the governing equations for the flow in the porous region, based on Darcy-Brinkman-Forchheimer extended model, can be expressed as [28,29] 1 r…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

A numerical technique for laminar swirling flow at the interface between porous and homogenous fluid domains

Lee

Zeng

Meguid

et al. 2008

Numerical Methods in Fluids

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SUMMARYThere have been a few recent numerical implementations of the stress-jump condition at the interface of conjugate flows, which couple the governing equations for flows in the porous and homogenous fluid domains. These previous demonstration cases were for two-dimensional, planar flows with simple geometries, for example, flow over a porous layer or flow through a porous plug. The present study implements the interfacial stress-jump condition for a non-planar flow with three velocity components, which is more realistic in terms of practical flow applications. The steady, laminar, Newtonian flow in a stirred micro-bioreactor with a porous scaffold inside was investigated. It is shown how to implement the interfacial jump condition on the radial, axial, and swirling velocity components. To avoid a full threedimensional simulation, the flow is assumed to be independent of the azimuthal direction, which makes it an axisymmetric flow with a swirling velocity. The present interface treatment is suitable for non-flat surfaces, which is achieved by applying the finite volume method based on body-fitted and multi-block grids. The numerical simulations show that a vortex breakdown bubble, attached to the free surface, occurs above a certain Reynolds number. The presence of the porous scaffold delays the onset of vortex breakdown and confines it to a region above the scaffold.

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Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

A numerical technique for laminar swirling flow at the interface between porous and homogenous fluid domains

Lee

Zeng

Meguid

et al. 2008

Numerical Methods in Fluids

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show abstract

“…Considering viscous and inertia effects, the governing equations for porous region based on DarcyForchheimer extended model can be expressed as [14,15]:…”

Section: Mathematical Modelmentioning

confidence: 99%

A numerical method for flows in porous and homogenous fluid domains coupled at the interface by stress jump

Lee

Zeng

et al. 2006

Numerical Methods in Fluids

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Abstract:A numerical model was developed for flows involving an interface between a homogenous fluid and a porous medium. The numerical model is based on the finite volume method with body-fitted and multi-block grids. The Darcy-Forchheimer extended model is used to govern the flow in the porous medium region. At its interface, a shear stress jump was imposed, together with a continuity of normal stress. Furthermore, the effect of the jump condition on the diffusive flux is considered, additional to that on the convective part which has been usually considered. Numerical results of three flow configurations are presented. The modeling is suitable for problems which have complex interface boundary conditions coupling between two flow domains.

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“…Transient simulations of heat transfer problems are often used to advance scientific knowledge in a wide variety of applications such as the design of thermal systems [1; 2; 3], material processing [4; 5; 6], biomedical studies [7], fire protection [8], porous media [9], and weather forecasting [10] -e.g. see [11] for a comprehensive survey of recently published works.…”

Section: Introductionmentioning

confidence: 99%

A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer

Alam

Kevlahan

Vasilyev

et al. 2012

Numerical Heat Transfer, Part B: Fundamentals

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The development of an efficient computational methodology for transient heat and mass transfer applications is challenging. When a solution is localized on the fraction of a computational domain, an appropriate adaptive mesh method could minimize computational work. In this paper, we propose a novel adaptive-mesh multi-resolution algorithm for the transient momentum and energy equations. The nonlinear dynamics between the velocity and temperature fields is modeled by solving the coupled system of equations simultaneously, where the rate of convergence has been optimized so that computational cost remains proportional to the number of grid points. Numerical experiments have exhibited good agreements with benchmark simulation data.

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Finite element modelling of flow, heat and mass transfer in fluid saturated porous media

Cited by 58 publications

References 71 publications

A numerical technique for laminar swirling flow at the interface between porous and homogenous fluid domains

A numerical technique for laminar swirling flow at the interface between porous and homogenous fluid domains

A numerical method for flows in porous and homogenous fluid domains coupled at the interface by stress jump

A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer

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