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J. Math. Phys. 28, 2999 (1987); http://dx.doi.org/10.1063/1.527653 (7 pages)
The concept of streamfunctions in the Wien effect on a weak electrolyte
(Received 14 January 1987; accepted 13 August 1987)
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Add to FacebookIt is shown that streamfunctions g(k), k=1,2, can be defined to describe the two ionic states of a weakly dissociated electrolyte in the presence of a uniform applied electric field. These states comprise the dissociated state and the associated state and the g(k) are shown to be governed by a second‐order partial differential equation. By consideration of characteristic numbers describing the two ionic states this equation is solved using similarity solutions. The association rate constant and relative increase in the dissociation constant due to the applied electric field are shown to have simple expressions in terms of the g(k). It is suggested that the streamfunctions are more natural functions with which to describe the mathematical properties of a weak electrolyte than the corresponding distribution functions. Some important mathematical properties of the streamfunctions are discussed.
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