Mathematical Model of a Countercurrent Flow Multi-fibre Dialyser |
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Authors: | N W Loney C R Huang L Simon |
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Institution: | (1) Department of Chemical Engineering, New Jersey Institute of Technology, 323 Dr. Martin Luther King Blvd., Newark, NJ 07102, USA |
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Abstract: | Summary The closed form solution to a distributed parameter mathematical model of a countercurrent flow dialyser is presented. The
model consisting of a bundle of hollow fibres in a shell accounts for axial convection and radial diffusion. The proposed
model relates the fractional removal of a solute to mass transfer parameters such as Sherwood number, length Peclet number
and system geometry. Excellent agreement with experimental beer dialysis data is demonstrated for the removal of alcohol using
8-lm thick 200-lm diameter cuprophane hollow-fibre membrane fibres. Potentially, this model could be very helpful in designing
new processes involving dialysis. For example, removal efficiency better than 90% is achievable in systems operating with
a Sherwood number of 2.0, length Peclet number of 5 · 105, unit tube-side/shell-side volumetric flow and length-to-diameter
ratio of 5000. Results were obtained in this work from only the first eigenvalue and the case of no solute in the incoming
dialysate stream. |
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