Effects of Non-Darcian and Nonuniform Porosity on Vertical-Plate Natural Convection in Porous Media

1987 ◽  
Vol 109 (2) ◽  
pp. 356-362 ◽  
Author(s):  
J. T. Hong ◽  
Y. Yamada ◽  
C. L. Tien
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Natural Convection ◽  
Vertical Plate ◽  
Solid Wall ◽  
Inertia Effects ◽  
Flow And Heat Transfer ◽  
Flow Channeling ◽  
Channeling Effect ◽  
Convection In Porous Media

This work examines analytically the effects of non-Darcian and nonuniform permeability conditions on the natural convection from a vertical plate in porous media. The non-Darcian effects, which include the no-slip and inertia effects, decrease the flow and heat transfer rate, while the nonhomogeneity effect enhances the heat transfer. For packed spheres, in particular, the nonhomogeneity in permeability due to the packing of spheres near the solid wall results in a strong flow-channeling effect that significantly increases the heat transfer. The effect of transverse thermal dispersion is also examined. This dispersion effect causes an increase in the heat transfer.

scholarly journals Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications

Energies ◽  
2020 ◽  
Vol 13 (6) ◽  
pp. 1344
Author(s):  
Mehrdad Massoudi
Keyword(s):  
Mathematical Modeling ◽  
Heat Transfer ◽  
Porous Media ◽  
Fluid Flow ◽  
Heat Exchanger ◽  
Ground Heat Exchanger ◽  
Special Issue ◽  
Flow And Heat Transfer ◽  
Convection In Porous Media

This Special Issue of Energies is dedicated to all aspects of fluid flow and heat transfer in geothermal applications, including the ground heat exchanger, conduction, and convection in porous media [...]

Non-Darcy Mixed Convection With Thermal Dispersion in a Saturated Porous Medium

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
V. V. Sobha ◽  
R. Y. Vasudeva ◽  
K. Ramakrishna ◽  
K. Hema Latha
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Porous Media ◽  
Nusselt Number ◽  
Mixed Convection ◽  
Vertical Plate ◽  
Saturated Porous Medium ◽  
Thermal Dispersion ◽  
Convection In Porous Media ◽  
Infinite Vertical Plate

Thermal dispersion due to local flows is significant in heat transfer with forced convection in porous media. The effects of parametrized melting (M), thermal dispersion (D), inertia (F), and mixed convection (Ra/Pe) on the velocity distribution, temperature, and Nusselt number on non-Darcy, mixed convective heat transfer from an infinite vertical plate embedded in a saturated porous medium are examined. It is observed that the Nusselt number decreases with increase in melting parameter and increases with increase in thermal dispersion.

Lattice-Boltzmann Scheme for Natural Convection in Porous Media

1997 ◽  
Vol 08 (04) ◽  
pp. 879-888 ◽  
Author(s):  
R. G. M. Van Der Sman
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Natural Convection ◽  
Simple Model ◽  
Analytical Solutions ◽  
Lattice Boltzmann ◽  
Transfer Problem ◽  
Cubic Lattice ◽  
Convection In Porous Media ◽  
Lattice Boltzmann Scheme

A lattice-Boltzmann scheme for natural convection in porous media is developed and applied to the heat transfer problem of a 1000 kg potato packaging. The scheme has features new to the field of LB schemes. It is mapped on a orthorhombic lattice instead of the traditional cubic lattice. Furthermore the boundary conditions are formulated with a single paradigm based upon the particle fluxes. Our scheme is well able to reproduce (1) the analytical solutions of simple model problems and (2) the results from cooling down experiments with potato packagings.

The Numerical Method Analysis of the Natural Convection and Heat Transfer in the Room with Heat Transfer of Material and Radiation Coupled in Natural Convection

2013 ◽  
Vol 703 ◽  
pp. 319-323
Author(s):  
Nai Yan Zhan ◽  
Kai Lin Huang ◽  
Li Mei Sun
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Solution Method ◽  
Solid Wall ◽  
Convection And Heat Transfer ◽  
Conduction Heat Transfer ◽  
Flow And Heat Transfer ◽  
Effects Of Radiation ◽  
Transfer Problems ◽  
Method Analysis

In this paper, the additional source term method is applied to the flow and heat transfer problems with radiation. According to the solid radiation surfaces situation, the effects of radiation on heat transfer can be divided into two cases. One is that the solid wall is in the solver region. The conduction, heat transfer and radiation act together in the interface between solid and liquid. This is the problem of combined conduction, heat transfer and radiation. The other is that the solid wall is the boundary of the solver region. The radiation heat is used as boundary condition. The solution method is different to them.

Flow and heat transfer measurements in natural convection in coarse-grained porous media

2019 ◽  
Vol 130 ◽  
pp. 575-584 ◽  
Author(s):  
Iman Ataei-Dadavi ◽  
Manu Chakkingal ◽  
Sasa Kenjeres ◽  
Chris R. Kleijn ◽  
Mark J. Tummers
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Natural Convection ◽  
Coarse Grained ◽  
Flow And Heat Transfer

Numerical investigation of natural convection in an inclined porous enclosure using non-Darcian flow model

2019 ◽  
Vol 30 (4) ◽  
pp. 1881-1897
Author(s):  
Ibrahim Atiya Mohamed
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Nusselt Number ◽  
Natural Convection ◽  
Flow Model ◽  
Boundary Surface ◽  
Content Type ◽  
Inertia Effects ◽  
Porous Cavity ◽  
Porous Enclosure

Purpose A thoroughly literature review reveals that considerable attention have been given only to the two common cases, i.e. enclosure heated from below and heated from the side. For the inclined layer, on the other hand, the numbers of investigations are relatively small. Therefore, this paper aims to investigate the natural convective heat transfer in an inclined porous cavity using non-Darcian flow model, including the boundary surface and inertia effects. Design/methodology/approach The flow characteristics have been assumed to be two-dimensional, steady, incompressible flow, whereas the properties of porous media have been considered to be homogeneous and isotropic properties solid matrix. The non-Darcian flow model, including the boundary surface and inertia effects, has been numerically solved using finite difference method. Findings The initiation of multicellular flow and counter-rotating cell are strongly dependent on the aspect ratio A and the inclination angle θ. The orientation of the porous cavity, for a given Ra*, Fs/Pr* and A, has a significant effect on the heat transfer rate. The results also indicated that A has a dominant effect on the Nusselt number. The Nusselt number is strongly dependent on the Ra*, Fs/Pr*, A and θ. Therefore, operating conditions and geometry of the porous enclosure are required to be properly designed to achieve the desired objective. Originality/value The developed model can reveal the non-Darcian effects on the fluid flow and heat transfer in inclined porous media under natural convection case.

Pore-Scale Modeling of Natural Convection in Reconstructed Porous Media

2016 ◽  
Author(s):  
Zhenyu Liu ◽  
Huiying Wu
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Natural Convection ◽  
Pore Space ◽  
Transport Phenomena ◽  
Lattice Boltzmann Model ◽  
Pore Scale ◽  
Flow And Heat Transfer ◽  
Reconstructed Porous Media ◽  
Double Population

The utilization of porous media can enhance the heat transfer process due to its large heat transfer area within limited space. The natural convection in porous media widely exists in various heat transfer equipment and the related flow and heat transfer in porous spaces is one complicated transport phenomenon, for which the accurate prediction is challenging. Pore-scale models can predict transport phenomena in porous media in pore space, which can be used in the modeling of flow and heat transfer in porous media under local thermal non-equilibrium condition. The pore-scale study includes the reconstruction of porous structure and the direct numerical simulation of transport phenomena in the pore spaces. In this paper, the geometrical reconstruction approach was developed to generate the porous region using the tomographic reconstruction, which is one nondestructive imaging technique. The porous sample was scanned on a micro-CT scanner with micrometer resolution. 2D sliced scan images were obtained and then stacked to reconstruct the 3D porous geometry. A double-population thermal lattice Boltzmann model was established to predict the natural convection in reconstructed porous media at pore scale.

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