By Foley G.
Targeting the appliance of membranes in an engineering context, this hands-on computational consultant makes formerly demanding difficulties regimen. It formulates difficulties as structures of equations solved with MATLAB, encouraging energetic studying via labored examples and end-of-chapter difficulties. The certain remedies of dead-end filtration comprise novel techniques to consistent fee filtration and filtration with a centrifugal pump. The dialogue of crossflow microfiltration contains using kinetic and strength stability versions. complete insurance of ultrafiltration and diafiltration strategies employs either restricting flux and osmotic strain versions. The influence of fluid viscosity at the mass move coefficient is explored intimately, the consequences of incomplete rejection at the layout and research of ultrafiltration and diafiltration are analysed, and quantitative remedies of opposite osmosis and nanofiltration method research and layout are explored. features a bankruptcy devoted to the modelling of membrane fouling
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C. (1979). ). McGraw-Hill, New York, USA. L. (2009). Diffusion: Mass Transfer in Fluid Systems, 3rd Edition. Cambridge University Press, New York, USA. Mulder, J. (1997). Basic Principles of Membrane Technology. Kluwer Academic, Dordrecht, The Netherlands. Strathmann, H. (2011). Introduction to Membrane Science and Technology. Wiley-VCH, Weinheim, Germany. K. ) (2001). Membrane Separations in Biotechnology, 2nd Edition. Marcel Dekker, New York, US. 1 Introduction to dead-end filtration In Chapter 1 the various membrane filtration processes were classified and it was seen that filtration and microfiltration involve the separation of particulate matter from liquids.
How long will it take to produce 10 l of filtrate? How long would it take if the pressure were doubled? 001 Ns/m2 and ignore the membrane resistance. Solution. Assuming the membrane resistance is negligible, we can use Eq. 30. 2 hours. 8 hours. This represents a reduction in filtration time of only about 14%. It is worth noting that the very long filtration times are due to the extremely high specific resistance of the E. coli suspensions employed. 6 now. 2 Analysis of batch DEF at constant filtrate flux In this mode of operation, often referred to as constant rate filtration, the filtrate flux is kept constant, thus requiring a gradual increase in operating pressure as the cake accumulates.
Solution. Evaluation of the constants α 0 , kc and m requires non-linear regression. MATLAB code for this purpose, employing a least squares method and the fminsearch function is shown below. The fit is excellent as shown in Fig. 2. 49 × 10−5 Pa−1 and m = 5. 2 Fit of Eq. 15 to specific resistance data. Although it is valid from a pure curve-fitting perspective to correlate specific resistance data with an expression like Eq. 15, it is important to note that the real determinant of α is the cake pressure drop, Pc , where Eqs.