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Dispersion of Reactive Species in Casson Fluid Flow

Indian Journal of Pure and Applied Mathematics volume 51, pages 1451–1469 (2020)Cite this article

Abstract

The study investigates the effect of wall reaction on the species transport in a pulsatile flow of Casson fluid through an annulus. The transport process is analyzed by means of the dispersion coefficient, which uses the technique of the method of moments. The equations of momentum along with the statistical moments are solved numerically using a finite difference implicit scheme. The distributions of mean and cross-sectional concentration are studied using the Hermite polynomial representation of central moments. The objective of this study is to focus on the nature of the dispersion coefficient due to the finite yield stress, amplitude of fluctuating pressure component, Womersley frequency parameter, radius ratio, and irreversible reaction rate. In contrast to previous other studies exist in the literature of solute dispersion in a non-Newtonian fluid, the present study discusses the cross-sectional concentration distribution of solute through an annulus. The study helps to enhance the understanding of all time behavior of dispersion phenomena under the proposed geometry, which may have applications to blood flow through the catheterized artery.

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Acknowledgement

The authors are grateful to the editor and reviewers for the valuable comments and suggestions that helped to improve this article.

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Author notes

  1. B. S. Mazumder

    Present address: Department of Civil Engineering, Indian Institute of Technology, Bombay, 400 076, India

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721 302, India

    S. Debnath & A. K. Roy

  2. Department of Mathematics, National Institute of Technology, Agartala, 799 046, India

    A. K. Saha

  3. Fluvial Mechanics Laboratory, Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, 700 108, India

    B. S. Mazumder

Authors
  1. S. Debnath
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  2. A. K. Saha
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  3. B. S. Mazumder
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  4. A. K. Roy
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Corresponding author

Correspondence to S. Debnath.

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Debnath, S., Saha, A.K., Mazumder, B.S. et al. Dispersion of Reactive Species in Casson Fluid Flow. Indian J Pure Appl Math 51, 1451–1469 (2020). https://doi.org/10.1007/s13226-020-0476-7

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  • DOI: https://doi.org/10.1007/s13226-020-0476-7

Key words

  • Dispersion coefficient
  • axial-mean concentration distribution
  • cross-sectional concentration distribution
  • Casson fluid
  • irreversible reaction

2010 Mathematics Subject Classification

  • 76Z05
  • 92C10
  • 76A05
  • 35Q35
  • 65M06