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Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media

机译：均质多孔介质中重力驱动的可逆反应流的数值模拟

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摘要

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.
机译：研究了可逆性对垂直反应流混溶不稳定性的影响。采用一种模型，其中反应物和化学产物之间的密度和/或粘度失配会引发不稳定性。该问题由连续性方程，达西定律和对流扩散反应方程控制。通过结合基于Hartley变换的高精度光谱方法和有限差分技术，用数学方法解决了该问题。对各种参数进行了非线性模拟，以分析在正面不稳定的不同情况下化学反应的可逆性对流动发展的影响。通常，随着化学反应的可逆性增加，不稳定性的发展和增长被更快地减弱。然而，观察到，对于密度和粘度失配的特定选择，可逆性能够触发不稳定性。另外，通过给出反应物与产物之间的总相对接触面积，说明了可逆性增强不稳定性的作用。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第12期|920692.1-920692.13|共13页
  • 作者

    Alhumade H.; Azaiez J.;

  • 作者单位

    Univ Waterloo, Dept Chem Engn, Waterloo, ON N2L 3G1, Canada.;

    Univ Calgary, Dept Chem & Petr Engn, Calgary, AB T2N 1N4, Canada.;

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