Journal of Engineering Mathematics

, Volume 116, Issue 1, pp 1–22 | Cite as

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

  • Sudip DebnathEmail author
  • Apu Kumar Saha
  • B. S. Mazumder
  • Ashis Kumar Roy


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.


Axial dispersion coefficient Casson fluid Reversible and irreversible reactions Yield stress 



The authors are grateful to the editor and reviewers for constructive comments and suggestions that helped to improve this article. S.D. is grateful to the National Institute of Technology, Agartala, India for financial support to pursue this work.


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Sudip Debnath
    • 1
    Email author
  • Apu Kumar Saha
    • 1
  • B. S. Mazumder
    • 2
    • 3
    • 4
  • Ashis Kumar Roy
    • 1
  1. 1.Department of MathematicsNational Institute of TechnologyAgartalaIndia
  2. 2.Fluvial Mechanics Laboratory, Physics and Applied Mathematics UnitIndian Statistical InstituteKolkataIndia
  3. 3.Department of Civil EngineeringIndian Institute of Technology BombayMumbaiIndia
  4. 4.Department of Aerospace Engineering and Applied MechanicsIndian Institute of Engineering Science and TechnologyHowrahIndia

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