• on the conditional superiority of counter-current over co-current extraction in microchannels

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 875
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     in liquid–liquid extraction, counter-current flow of the phases always results in an improved performance as compared to co-current flow, under similar operating conditions. however, it is challenging to implement counter-current flow in a microchannel. therefore, the improvement in extraction performance must be significant to justify the selection of counter-current flow over co-current flow in microchannels. in this study, we identify the range of fluid properties and operating conditions for which counter-current operation exhibits significant benefits. for this, simplified mathematical models are developed for both co-current and counter-current extraction in the stratified flow regime. these models, while being simple, capture the essential physics of the extraction process and facilitate a thorough investigation of the relative extraction performance across the parameter space. an analytical solution, based on the theory of sturm–liouville linear operators, is obtained for the case of co-current flow. the counter-current model belongs to the class of two-way diffusion equations for which a novel semi-analytical solution is presented. the analysis of the predictions of the models shows that the relative extraction performance is governed by a general principle of maximum gain at mediocre performance. these results help identify the significantly restricted range of operating parameters for which counter-current operation is a truly attractive alternative to the co-current mode of extraction in microchannels.

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