scholarly journals Solutal convection in porous media: Comparison between boundary conditions of constant concentration and constant flux

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
Mohammad Amin Amooie ◽  
Mohamad Reza Soltanian ◽  
Joachim Moortgat
1958 ◽  
Vol 36 (11) ◽  
pp. 1476-1482
Author(s):  
A. E. Scheidegger ◽  
V. C. Larson

During many feasible experiments concerning miscible displacement in porous media, it has been noted that the concentration front is slightly asymmetric. It is possible that this is due to an asymmetry in the boundary conditions which is present in most practicable displacement experiments. The present paper endeavors to investigate the influence of asymmetric boundary conditions upon the shape of the concentration front: The diffusivity equation basic to the theory of miscible displacement has been solved for the case of injection of fluid of constant concentration at one end of a long, linear porous medium. The solution has been effected by an electrical analogue computer. Curves showing the asymmetry are given.


2018 ◽  
Vol 45 (18) ◽  
pp. 9690-9698 ◽  
Author(s):  
Yu Liang ◽  
Baole Wen ◽  
Marc A. Hesse ◽  
David DiCarlo

Author(s):  
Tirivanhu Chinyoka ◽  
Daniel Oluwole Makinde

Purpose – The purpose of this paper is to examine the unsteady pressure-driven flow of a reactive third-grade non-Newtonian fluid in a channel filled with a porous medium. The flow is subjected to buoyancy, suction/injection asymmetrical and convective boundary conditions. Design/methodology/approach – The authors assume that exothermic chemical reactions take place within the flow system and that the asymmetric convective heat exchange with the ambient at the surfaces follow Newton’s law of cooling. The authors also assume unidirectional suction injection flow of uniform strength across the channel. The flow system is modeled via coupled non-linear partial differential equations derived from conservation laws of physics. The flow velocity and temperature are obtained by solving the governing equations numerically using semi-implicit finite difference methods. Findings – The authors present the results graphically and draw qualitative and quantitative observations and conclusions with respect to various parameters embedded in the problem. In particular the authors make observations regarding the effects of bouyancy, convective boundary conditions, suction/injection, non-Newtonian character and reaction strength on the flow velocity, temperature, wall shear stress and wall heat transfer. Originality/value – The combined fluid dynamical, porous media and heat transfer effects investigated in this paper have to the authors’ knowledge not been studied. Such fluid dynamical problems find important application in petroleum recovery.


2015 ◽  
Vol 114 (2) ◽  
pp. 581-600 ◽  
Author(s):  
P. Kunz ◽  
I. M. Zarikos ◽  
N. K. Karadimitriou ◽  
M. Huber ◽  
U. Nieken ◽  
...  

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