Pramod Kumar Yadav , Sneha Jaiswal , Amit Kumar Verma , Ali J. Chamkha
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Magnetohydrodynamics of immiscible Newtonian fluids in porous regions of different variable permeability functions
This work is an analysis of the flow model often occurs in crude oil extraction, blood flow in the arteries, filtration of underground different fluids flowing together. In this analysis, a model of three-layered porous horizontal channel is considered. This problem is significant because of the different permeability functions used for each porous layer of the channel and flow of different Newtonian fluids takes place in these porous regions. The problem is solved for the general case which can be reduced into several particular cases. The flows inside the channel and in every porous layer is governed by the Brinkman's momentum equation for the porous medium. The momentum equations in each region of the present model are the Airy's inhomogeneous differential equations respectively. An analytical closed form solution of the flow in each region have been obtained. Authors have discussed various results of velocity profile, flow rate and wall shear stresses graphically. Our results agree with the previous published results.
期刊介绍：
The objective of the Journal of Petroleum Science and Engineering is to bridge the gap between the engineering, the geology and the science of petroleum and natural gas by publishing explicitly written articles intelligible to scientists and engineers working in any field of petroleum engineering, natural gas engineering and petroleum (natural gas) geology. An attempt is made in all issues to balance the subject matter and to appeal to a broad readership.
The Journal of Petroleum Science and Engineering covers the fields of petroleum (and natural gas) exploration, production and flow in its broadest possible sense. Topics include: origin and accumulation of petroleum and natural gas; petroleum geochemistry; reservoir engineering; reservoir simulation; rock mechanics; petrophysics; pore-level phenomena; well logging, testing and evaluation; mathematical modelling; enhanced oil and gas recovery; petroleum geology; compaction/diagenesis; petroleum economics; drilling and drilling fluids; thermodynamics and phase behavior; fluid mechanics; multi-phase flow in porous media; production engineering; formation evaluation; exploration methods; CO2 Sequestration in geological formations/sub-surface; management and development of unconventional resources such as heavy oil and bitumen, tight oil and liquid rich shales.
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