A numerical method for mass transfer by a thin moving membrane with selective permeabilities
A numerical method for mass transfer by a thin moving membrane with selective permeabilities
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DOI：
10.1016/j.jcp.2014.12.048
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
Suguru Miyauchi;S. Takeuchi;T. Kajishima
中科院分区：
文献类型：
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作者：
Suguru Miyauchi;S. Takeuchi;T. Kajishima
我们提出了一个数值方法的质量传递的膜运动的框架内的非协调网格相对于膜。该方法处理的不连续性，在膜上的浓度突变纳入有限元离散。通过耦合非定常对流扩散方程和膜渗透率方程的弱形式，导出了一种既能处理渗透膜又能处理非渗透膜的跳跃值隐式处理方法。通过数值试验与解析解的比较，验证了该方法的有效性。解析解包括膜运动过程中的稳态浓度分布和瞬态浓度分布。将该方法应用于具有弯曲几何形状的膜的传质，并证明了该方法对具有任意形状的膜的适用性。
We propose a numerical method for mass transfer by membrane movement in the framework of the non-conforming mesh with respect to the membrane. The method treats the discontinuity at the membrane by incorporating the concentration jump into the finite element discretization. Through coupling the weak forms of the unsteady convection–diffusion equation and membrane permeability equation, an implicit treatment of the jump value is derived, which is capable of handling both permeable and non-permeable membranes. Through some comparisons of the numerical tests with analytical solutions, the validity of the proposed method is established. The analytical solutions include the steady concentration distributions as well as transient state during the movement of the membrane. The method is applied to the mass transfer with a membrane of curved geometry, and the applicability for the membrane with arbitrary shape is demonstrated.