Unsteady solute dispersion in blood rheology with reversible phase exchange at the artery wall

  • Authors

    • D S Sankar School of Applied Sciences and MathematicsUniversiti Teknologi Brunei
    • Nurul Aini Jaafar School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia
    • Yazariah Yatim School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia
    2018-05-17
    https://doi.org/10.14419/ijet.v7i2.11527
  • Blood Flow, Narrow Artery, Casson Fluid, Unsteady Solute Dispersion, Reversible Phase Exchange.

  • Abstract

    The effect of reversible phase exchange between the flowing fluid and wall tissues of arteries in the unsteady dispersion of solute in blood flow through a narrow artery is analysed mathematically, modelling the blood as Casson fluid. The resulting convective diffusion equation along with the initial and boundary conditions is solved analytically using the derivative series expansion method. The expressions for the negative asymptotic phase exchange, negative asymptotic convection, longitudinal diffusion coefficient and mean concentration are obtained. It is noted that when the solute disperses in blood flow through a narrow artery, the negative exchange coefficient, the negative convection coefficient increase and the longitudinal diffusion coefficient decreases with the increase of the Damköhler number and partition coefficient.

  • References

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  • How to Cite

    Sankar, D. S., Jaafar, N. A., & Yatim, Y. (2018). Unsteady solute dispersion in blood rheology with reversible phase exchange at the artery wall. International Journal of Engineering & Technology, 7(2), 750-754. https://doi.org/10.14419/ijet.v7i2.11527

    Received date: 2018-04-14

    Accepted date: 2018-05-11

    Published date: 2018-05-17