Mass transfer in brain dialysis devices—a new method for the estimation of extracellular amino acids concentration

The deposition of colloidal particles from a suspension in steady fully developed laminar flow onto the walls of a channel is rationalized as equivalent to mass transfer in the bulk with a first-order reaction at the walls. The resulting extended Graetz problem is solved for both parallel-plate and cylindrical channels. Through the use of confluent hypergeometric functions combined with asymptotic techniques, an evaluation of the resulting series solutions is made possible which is more accurate than all previous solutions, especially for the deposition of colloids and for cylindrical channels. Simple Leveque-type asymptotic solutions are also obtained for the case of large Peclet numbers, and when the reaction rate constant is infinite, these reduce to the corresponding well-established results for convective diffusion.

Fine particle deposition in laminar flow through parallel-plate and cylindrical channels

Extraction of Cr(VI) with aliquat 336 in hollow fiber contactors: mass transfer analysis and modeling

Because of their better chemical resistance and fouling characteristics, plastic heat exchangers are of increasing interest for lower temperature applications. However, their lower thermal performa...

Polymeric Hollow Fiber Heat Exchangers: An Alternative for Lower Temperature Applications

Numerical study of transient free convective mass transfer in a Walters-B viscoelastic flow with wall suction

The Graetz problem in heat transfer is extended to the analysis of mass transfer in circular ducts for the cases where wall resistance is included and where non-Newtonian fluids that obey Casson's equation are considered. The eigenvalues and fluid bulk coefficients are presented for the fluid between the extremes of Newtonian and slug flow. It is found that for fluids which are only slightly non-Newtonian, such as blood, which is closely approximated by Casson's equation, the mass transfer rate can be predicted by Newtonian fluid analysis without appreciable error. Some experimental results give support to the theory.

G. V. Parkinson

Papers

Mass transfer from small capillaries with wall resistance in the laminar flow regime