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

R. N. Bhattacharya; Vijay K. Gupta

doi:10.1137/0144004

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

R. N. Bhattacharya, Vijay K. Gupta

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	33-39
Number of pages	7
Journal	SIAM Journal on Applied Mathematics
Volume	44
Issue number	1
DOIs	https://doi.org/10.1137/0144004
State	Published - 1984

ASJC Scopus subject areas

Applied Mathematics

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

Abstract

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