Transport of a reactive solute in a pulsatile non-Newtonian liquid flowing through an annular pipe

The impact of heterogeneous (kinetic reversible phase exchange and irreversible absorption) chemical reactions along with a homogeneous first-order reaction is considered for the dispersion of a solute in a solvent flowing through an annular pipe under a periodic pressure gradient. A Casson model is...

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Bibliographic Details
Published in:Journal of engineering mathematics 2019-06, Vol.116 (1), p.1-22
Main Authors: Debnath, Sudip, Saha, Apu Kumar, Mazumder, B. S., Roy, Ashis Kumar
Format: Article
Language:English
Subjects:
Applications of Mathematics
Chemical reactions
Computational Mathematics and Numerical Analysis
Dispersion
Hermite polynomials
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Method of moments
Newtonian liquids
Non Newtonian liquids
Organic chemistry
Pipes
Simulation
Theoretical and Applied Mechanics
Transport phenomena
Yield stress
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Summary:The impact of heterogeneous (kinetic reversible phase exchange and irreversible absorption) chemical reactions along with a homogeneous first-order reaction is considered for the dispersion of a solute in a solvent flowing through an annular pipe under a periodic pressure gradient. A Casson model is used to describe the non-Newtonian viscosity of the liquid. The Aris–Barton method of moments is employed to study the behavior of the dispersion coefficient. The axial distribution of the mean concentration is determined using the Hermite polynomial representation of central moments. This study focuses on the transport phenomena in terms of the dispersion coefficient due to multiple kinds of reaction, yield stress, radius ratio, etc., which could be useful for analysis of flow of physiological blood-like liquids.
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-019-09999-1