Application of projection and immersed boundary methods to simulating heat and mass transport in membrane distillation

Application of projection and immersed boundary methods to simulating heat and mass transport in membrane distillation
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投影法和浸没边界法在膜蒸馏传热传质模拟中的应用

DOI:
10.1016/j.compfluid.2020.104711
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发表时间:
2020
期刊:
影响因子:
2.8
通讯作者:
Tilton, Nils
Tilton, Nils
中科院分区:
工程技术3区
文献类型:
--
作者:
Lou, Jincheng;Johnston, Jacob;Tilton, Nils

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膜蒸馏是一种新兴的海水淡化过程,在能量-水关系中有着重要的应用。然而,它的性能取决于热量和质量传输现象,而这些现象在模拟中具有独特的挑战性。困难包括通过半透膜的热量和质量传输耦合的两个相邻的通道流。在通道内,热边界层和质量边界层与由复杂几何形状产生的膜表面和涡流结构相互作用。多个入口和出口的存在也使质量守恒出口条件的应用复杂化。此外,即使是少量的出口噪声也会影响重要的近膜流体速度的分辨率。我们证明了这些现象可以用浸没边界的有限体积法和投影法模拟到二阶空间和时间精度。我们的方法包括一种投影方法,该方法交错耦合的槽流,并应用Robin边界条件来促进出口处的质量守恒。我们还发展了一种浸没边界方法,将Neumann边界条件应用于二阶空间精度。该方法与人造解和旋涡脱落的理论预测进行了验证和验证。然后将它们应用于膜蒸馏中的稳态和非稳态传递现象的模拟。这些方法在化学工程的广泛领域有着重要的应用,并解决了理论流体力学和计算流体力学中长期存在的问题。
Membrane distillation is an emerging desalination process with important applications to the energy-water nexus. Its performance depends, however, on heat and mass transport phenomena that are uniquely challenging to simulate. Difficulties include two adjacent channel flows coupled by heat and mass transport across a semi-permeable membrane. Within the channels, heat and mass boundary layers interact with the membrane surface and vortical flow structures generated by complicated geometries. The presence of multiple inlets and outlets also complicates the application of mass-conserving outlet conditions. Moreover, even small amounts of outlet noise affect the resolution of important near-membrane fluid velocities. We show these phenomena can be simulated to second-order spatial and temporal accuracy using finite volume methods with immersed boundaries and projection methods. Our approach includes a projection method that staggers the coupled channel flows and applies Robin boundary conditions to facilitate mass conservation at the outlets. We also develop an immersed boundary method that applies Neumann boundary conditions to second-order spatial accuracy. The methods are verified and validated against manufactured solutions and theoretical predictions of vortex shedding. They are then applied to the simulation of steady and unsteady transport phenomena in membrane distillation. The methods have important applications to the broad field of chemical engineering and deal with long-standing issues in both theoretical and computational fluid dynamics.
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