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A model of coupled thermosolutal convection and thermoelasticity in soft rocks with consideration of water vapor absorption

机译:考虑水蒸气吸收的软岩热固对流与热弹性耦合模型

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摘要

The unsteady double-diffusive natural convection flow in a rectangular enclosure filled with soft rocks which are subjected to humid air, including water vapor absorption and thermoelasticity, is studied numerically. The high order compact finite difference schemes are adopted for better simulation of this problem, and a Darcy-Brinkman-Forchheimer extended model combined with the absorption and thermoelasticity effects is introduced. The effects of the thermal and solutal Rayleigh numbers, hygroscopic-ity, Darcy numbers and thermoelasticity on the flow are investigated in detail. Results are presented in the form of streamlines and isolines of temperature and mass fraction as well as the plots of average Nusselt and Sherwood numbers over the walls under different conditions. The flow structure develops from conduction-dominated to steady convection-dominated as increasing Rayleigh number or increasing buoyancy ratio as well as increasing Darcy numbers. The thermoelasticity effects of soft rocks play an important role in the analysis of thermal convection flow by the change of temperature and permeability, while the water vapor absorption effects may have a slight effect on the flow in the beginning and vanish with the absorption effects becoming weak. Nevertheless, the effect may significant reduce the mechanical strength properties of soft rocks.
机译:数值研究了矩形矩形外壳中的非定常自然扩散对流,该矩形外壳中充满了受潮湿空气(包括水蒸气吸收和热弹性)影响的软岩石。采用高阶紧致有限差分方案更好地模拟了该问题,并引入了结合吸收和热弹性效应的Darcy-Brinkman-Forchheimer扩展模型。详细研究了热瑞利数和瑞利数,吸湿性,达西数和热弹性对流动的影响。结果以温度和质量分数的流线和等值线以及在不同条件下墙上的平均Nusselt和Sherwood数图的形式表示。随着瑞利数的增加或浮力比的增加以及达西数的增加,流动结构从传导主导型发展为稳定对流主导型。通过温度和渗透率的变化,软岩的热弹性效应在热对流分析中起着重要作用,而水蒸气的吸收效应可能对刚开始的流动有轻微影响并随着吸收作用的减弱而消失。 。但是,这种效果可能会大大降低软岩的机械强度性能。

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