ON THE TAYLOR-ARIS THEORY OF SOLUTE TRANSPORT IN A CAPILLARY.

R. N. Bhattacharya, Vijay K. Gupta

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

A new simple derivation is given of G. I. Taylor's classic theory of solute transport in a straight capillary through which a liquid is flowing in a steady nonturbulent flow. The results derived are stronger, and an explicit representation is provided for the displacement of a solute molecule as the sum of a Brownian motion and the integral of an ergodic Markov process which is asymptotically a Brownian motion. Two curious identities involving zeros of the Bessel function of order one are obtained as a by-product.

Original languageEnglish (US)
Pages (from-to)33-39
Number of pages7
JournalSIAM Journal on Applied Mathematics
Volume44
Issue number1
DOIs
StatePublished - Jan 1 1984

ASJC Scopus subject areas

  • Applied Mathematics

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