On the mathematics of exchange processes infixed columns. IV. Limiting values, and correction terms, for the kinetictheory solution with general entry conditions

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Abstract
The methods described in part III are used to find the limiting value of u (the ratio of the concentration of one ion in the fluid to the total concentration of both ions at entry) as e->0, e being the ratio of the volume flux of the fluid to the exchange coefficient, and also to find closer approximations in some cases for small but non-zero e. The formation, growth, and change of position of the singularity in the limiting value are discussed.

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