Discontinuous finite volume method for compressible miscible displacement problems in porous media

2019 ◽  
Vol 42 (9) ◽  
pp. 3341-3358
Author(s):  
Ping Wang ◽  
Ziwen Jiang ◽  
Zhe Yin ◽  
Qiang Xu
Keyword(s):  
Porous Media ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Miscible Displacement ◽  
Compressible Miscible Displacement ◽  
Volume Method

scholarly journals 2-d mathematical and numerical modeling of fluid flow inside and outside packing in catalytic packed bed reactor

REAKTOR ◽  
2017 ◽  
Vol 5 (1) ◽  
pp. 1
Author(s):  
L. Buchori ◽  
Y. Bindar ◽  
D. Sasongko ◽  
IGBN Makertihartha
Keyword(s):  
Experimental Data ◽  
Porous Media ◽  
Fluid Flow ◽  
Velocity Profile ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Flow Model ◽  
Flow In Porous Media ◽  
Diffusion And Convection ◽  
Volume Method

Generally, the momentum equation of fluid flow in porous media was solved by neglecting the terms of diffusion and convection such as Ergun, Darcy, Brinkman and Forchheimer models. Their model primarily applied for laminar flow. It is true that these model are limited to condition whether the models can be applied. Analytical solution for the model type above is available only for simple one-dimensional cases. For two or three-dimentional problem, numerical solution is the only solution. This work advances the flow model in porous media and provide two-dimentional flow field solution in porous media, which includes the diffusion and convection terms. The momentum lost due to flow and porous material interaction is modeled using the available  Brinkman-Forchheimer equation. The numerical method to be used is finite volume method. This method is suitable for the characteristic of fluid  flow in porous media which is averaged by a volume base. The effect of the solid and fluid interaction in porous  media is the basic principle of the flow model in morous media. The Brinkman-Forchheimer consider the momentum lost term to be determined by a quadratic function of the velocity component. The momentum and the continuity equation are solved for two-dimentional cylindrical coordinat . the result were validated with the experimental data. The velocity of the porous media was treated to be radially oscillated. The result of velocity profile inside packing show a good agreement in their trend with the Stephenson and Steward experimental data. The local superficial  velocity attains its global maximum and minimum at distances near 0.201 and 0.57 particle diameter, dp. velocity profile below packing was simulated. The result were validated with Schwartz and Smith experimental data. The result also show an excellent agreement with those experimental data.Keywords : finite volume method, porous media, flow distribution, velocity profile

scholarly journals The Effect Of Reynolds Number At Fluid Flow In Porous Media

REAKTOR ◽  
2017 ◽  
Vol 6 (2) ◽  
pp. 48
Author(s):  
L. Buchori ◽  
M. D. Supardan ◽  
Y. Bindar ◽  
D. Sasongko ◽  
IGBN Makertihartha
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Reynold Number ◽  
Packed Bed ◽  
Solid Particles ◽  
Flow In Porous Media ◽  
Viscous Term ◽  
Volume Method

In packed bed catalytic reactor, the fluid flow phenomena are very complicated because of the fluid and solid particles interaction to dissipate the energy. The governing equations need to be developed to the forms of specific models. Flows modeling of fluid flow in porous media with thw absence of the convection and viscous terms have been considerably developed such as Darcy, Brinkman, Forchheimer, Ergun, Liu, et.al and Liu and Masliyah models. These equations usually are called shear factor model. Shear factor is determined by the flow regime, porous media characteristics and fluid properties. It is true that these models are limited to condition whether the models can be applied. Analytical solution for the model types above is available only for simple one-dimentionalcases. For two or three-dimentional problem, numerical solution is the only solution. The present work is aimed to developed a two-dimentional numerical modeling flow in porous media by including the convective and viscous term. The momentum lost due  to flow and porous material interaction is modeled using the available Brinkman-Forchheimer and Liu and Masliyah equations. Numerical method to be used is finite volume method. This method is suitable for the characteristic of fluid flow in porous media which is averaged by a volume base. The effect of the solid and fluid interaction  in porous media is the basic principle of the flow model in porous media. The momentum and continuity  equations are solved for two-dimentional cylindrical coordinate. The result were validated with the experimental data . the result show a good agreement in their trend between Brinkman-Forchheimer equqtion with the Stephenson and Stewart (1986) and Liu and Masliyah equation with Kufner and Hoffman (1990) experimental data.Keywords : finite volume method, porous media, Reynold number, shear factor

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