Basic equations of the mass transport through a membrane by Endre Nagy
By Endre Nagy
With an in depth research of the mass shipping via membrane layers and its impact on diverse separation methods, this booklet offers a entire examine the theoretical and useful features of membrane delivery homes and capabilities. simple equations for each membrane are supplied to foretell the mass move fee, the focus distribution, the convective pace, the separation potency, and the impression of chemical or biochemical response taking into consideration the heterogeneity of the membrane layer to aid higher comprehend the mechanisms of the separation techniques. The reader might be capable of describe membrane separation approaches and the membrane reactors in addition to decide upon the main compatible membrane constitution for separation and for membrane reactor. Containing special dialogue of the newest ends up in delivery procedures and separation approaches, this ebook is key for chemistry scholars and practitioners of chemical engineering and approach engineering.
- Detailed survey of the theoretical and sensible facets of each membrane strategy with particular equations
- Practical examples mentioned intimately with transparent steps
- Will help in making plans and education of extra effective membrane constitution separation
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Extra resources for Basic equations of the mass transport through a membrane layer
H. (1976) Dual sorption theory. J. Membr. Sci. 1, 177À220. 1 Introduction In this chapter, we consider various cases of one-dimensional diffusion, perpendicular to the membrane surface, into a solid layer with thickness of δ bounded by two parallel plane surfaces. For a description of this process, the solution-diffusion model is applied. That means that the transported component is adsorbing on the solid interface and then it is transported by molecular diffusion through the membrane layer to its external surface, and from here (through an external mass transfer resistance) to the bulk permeate phase.
And Calero, S. (2007) Incorporating the loading dependence of the MaxwellÀStefan diffusivity in the modeling of CH4 and CO2 permeation across zeolite membranes. Ind. Eng. Chem. Res. 46, 2974À2986. R. (1997) Membrane distillation: review. J. Membr. Sci. 124, 1À25. K. (1982) The growth of membrane and technology. J. Membr. Sci. 10, 81À181. , and Krishna, R. (2007a) Modeling permeation of CO2/CH4, CO2/N2 and N2/CH4 mixtures across SAPO-34 membrane with the MaxwellÀStefan equations. Ind. Eng. Chem.
1 Concentration-Dependent Diffusion Coefficient It is clear that the classic solution-diffusion theory is only valid for governing permeation through essentially nonswollen membranes, for example, in the case of removal of dilute organics from water. When membranes are used for pervaporation dehydration, or organicÀorganic separation, appreciable membrane swelling usually occurs, and both the partition and diffusion coefficient become concentration dependent. Therefore, the classic solution-diffusion theory should be modified to adapt to the generally swollen pervaporation membranes.