On the mathematics of exchange processes in fixed columns. II. The equilibrium theory as the limit of the kinetic theory

Abstract
The mathematical solutions on the equilibrium theory (whose relation to the kinetic theory is explained) are set out for certain initial conditions (including elution from an incompletely saturated column), and it is shown that these solutions are the correct (non-uniform) limits of the corresponding solutions on the kinetic theory. It is shown how closer approximations to the kinetic-theory solutions may be obtained from previous mathematical results. Mathematically, on the kinetic theory the equation to be solved is a hyperbolic differential equation for which, under certain conditions, the coefficient of the highest derivative occurring is small. On the equilibrium theory the term containing this highest derivative is omitted; the equation remains hyperbolic.

This publication has 14 references indexed in Scilit: