Bacchin Patrice
Laboratoire de Génie Chimique, Université de Toulouse, CNRS, INPT, UPS, 31062 Toulouse, France.
Membranes (Basel). 2018 Feb 22;8(1):10. doi: 10.3390/membranes8010010.
A membrane can be represented by an energy landscape that solutes or colloids must cross. A model accounting for the momentum and the mass balances in the membrane energy landscape establishes a new way of writing for the Darcy law. The counter-pressure in the Darcy law is no longer written as the result of an osmotic pressure difference but rather as a function of colloid-membrane interactions. The ability of the model to describe the physics of the filtration is discussed in detail. This model is solved in a simplified energy landscape to derive analytical relationships that describe the selectivity and the counter-pressure from ab initio operating conditions. The model shows that the stiffness of the energy landscape has an impact on the process efficiency: a gradual increase in interactions (such as with hourglass pore shape) can reduce the separation energetic cost. It allows the introduction of a new paradigm to increase membrane efficiency: the accumulation that is inherent to the separation must be distributed across the membrane. Asymmetric interactions thus lead to direction-dependent transfer properties and the membrane exhibits diode behavior. These new transfer opportunities are discussed.
膜可以用溶质或胶体必须穿过的能量景观来表示。一个考虑膜能量景观中动量和质量平衡的模型建立了一种新的达西定律写法。达西定律中的反压不再写成渗透压差异的结果，而是写成胶体与膜相互作用的函数。详细讨论了该模型描述过滤物理过程的能力。该模型在简化的能量景观中求解，以推导从头算操作条件下描述选择性和反压的解析关系。该模型表明，能量景观的刚度对过程效率有影响：相互作用的逐渐增加（如沙漏形孔）可以降低分离的能量成本。它允许引入一种提高膜效率的新范式：分离固有的积累必须分布在整个膜上。不对称相互作用因此导致方向依赖的传输特性，并且膜表现出二极管行为。讨论了这些新的传输机会。
