Soret effect on stability of Darcy problem in a bidispersive porous medium with an exothermic chemical surface reaction

Zaid Abbas Afluk, A. Harfash
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引用次数: 0

Abstract

We examine a saturated bidispersive porous medium undergoing an exothermic chemical reaction at its lower boundary. The fluid flow within this medium is modelled using the Darcy approach. While the Dufour effect is disregarded, the influence of the Soret effect is thoroughly explored. This problem represents a complex multiphysical phenomenon that integrates fluid dynamics, heat and mass transfer, chemical kinetics and thermoelectric effects. This problem finds relevance in various scientific and engineering applications, including enhanced oil recovery, chemical engineering, environmental engineering and energy systems. We introduce a complementary energy theory alongside a linear theoretical framework for the model. The Chebyshev collocation method is employed to derive both linear and nonlinear results. Our findings reveal that the effect of enhancing the Soret coefficient on the system's stability is contingent upon the boundary conditions and the Lewis number. Specifically, an increase in the Soret coefficient generally stabilises the system during stationary convection. Conversely, in scenarios where oscillatory convection prevails, a higher Soret coefficient tends to destabilise the system.
索雷特效应对具有放热化学表面反应的双分散多孔介质中达西问题稳定性的影响
我们研究了一种饱和双分散多孔介质,该介质的下边界正在发生放热化学反应。该介质中的流体流动采用达西方法建模。虽然忽略了杜富尔效应,但对索雷特效应的影响进行了深入探讨。这个问题是一个复杂的多物理现象,综合了流体动力学、传热传质、化学动力学和热电效应。该问题与各种科学和工程应用相关,包括提高石油采收率、化学工程、环境工程和能源系统。我们在为模型建立线性理论框架的同时,还引入了补充能量理论。我们采用切比雪夫配位法得出线性和非线性结果。我们的研究结果表明,提高索雷特系数对系统稳定性的影响取决于边界条件和路易斯数。具体来说,在静止对流过程中,增加索雷特系数通常会使系统趋于稳定。相反,在振荡对流盛行的情况下,索雷特系数越大,系统越不稳定。
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