Mathematical modeling of reverse osmosis systems |
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Authors: | K Jamal MA Khan |
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Affiliation: | a Department of Post Engineering and Technology, Aligarh 202002 (U.P.), India b Department of Petroleum Studies, A.M.U., Aligarh 202002 (U.P.), India |
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Abstract: | The present investigation pertains to modeling of seawater desalination system. A simulation model was developed and verified for a small-scale reverse osmosis system. The proposed model combines material balances on the feed tank, membrane module andproduct tank with membrane mass transfer models. Finally a comprehensive simulation model has been developed incorporating the effect of mass transfer inhibition The model is non-linear differential equation representing the feed concentration as a function of operating time and space. The solution of the simultaneous differential equations was obtained using the fourth order Runge-Kutta method, due to self starting and stability. The model was verified using the experimental data from the literature 17,24]. Parameter sensitivity was carried out to select the proper step size. The simulation was run for over 1000 11 enabling a prediction of operational performance at high overall system recoveries. |
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Keywords: | Mathematical modeling Reverse osmosis Mass transfer Inhibition Concentration polarization |
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