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Peristalsis and Taylor Dispersion of Solute in the Flow of Casson Fluid

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Advances in Mathematical Modeling and Scientific Computing (ICRDM 2022)

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Abstract

In this study, we present the peristaltic flow and transport of solute in a non-Newtonian solvent through a flexible tube. Taylor dispersion and the long-wavelength approximation are considered and described using a suitable convection-diffusion equation, and an analytical solution is obtained for the solute concentration distribution. The impact of pertinent parameters such as the volumetric flow rate, peristaltic wave amplitude, yield stress and modified Péclet number on the effective and relative diffusion coefficients is discussed and compared with the existing literature. The effective diffusion coefficient in the case of Casson fluid is less when compared with the Newtonian case. Both the amplitude and magnitude of the relative effective diffusion coefficient are observed to be increasing while increasing the flow rate. The results obtained in this study are applicable to pollutant transport in the environment, drug delivery in physiological systems, cardiovascular flows and peristaltic flows in the renal system.

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Authors and Affiliations

  1. Department of Mathematics, The University of the West Indies, Kingston-7, Jamaica

    P. Nagarani & Victor M. Job

Authors
  1. P. Nagarani
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  2. Victor M. Job
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Editors and Affiliations

  1. Department of Electrical Engineering, Canadian University Dubai, Dubai, United Arab Emirates

    Firuz Kamalov

  2. Department of Mathematics, Dr B R Ambedkar National Institute of Technology, Jalandhar, Punjab, India

    R. Sivaraj

  3. Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates

    Ho-Hon Leung

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Nagarani, P., Job, V.M. (2024). Peristalsis and Taylor Dispersion of Solute in the Flow of Casson Fluid. In: Kamalov, F., Sivaraj, R., Leung, HH. (eds) Advances in Mathematical Modeling and Scientific Computing. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41420-6_21

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