Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-29
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The effect of reversibility on the instability of a miscible vertical reactive flow displacement is examined.
A model, where densities and/or viscosities mismatches between the reactants and the chemical product trigger instability, is adopted.
The problem is governed by the continuity equation, Darcy’s law, and the convection-diffusion-reaction equations.
The problem is formulated and solved numerically using a combination of the highly accurate spectral methods based on Hartley’s transform and the finite-difference technique.
Nonlinear simulations were carried out for a variety of parameters to analyse the effects of the reversibility of the chemical reaction on the development of the flow under different scenarios of the frontal instability.
In general, faster attenuation in the development and growth of the instability is reported as the reversibility of the chemical reaction increases.
However, it was observed that reversibility is capable of triggering instability for particular choices of the densities and viscosities mismatches.
In addition, the effect of the reversibility in enhancing the instability was illustrated by presenting the total relative contact area between the reactants and the product.
American Psychological Association (APA)
Alhumade, H.& Azaiez, J.. 2015. Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1075065
Modern Language Association (MLA)
Alhumade, H.& Azaiez, J.. Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1075065
American Medical Association (AMA)
Alhumade, H.& Azaiez, J.. Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1075065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075065