Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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EFFECT OF FLOW UNSTEADINESS ON DISPERSION IN NON-NEWTONIAN FLUID IN AN ANNULUS

  • NAGARANI, P. (Department of Mathematics, University of the West Indies, Mona Campus Kingston) ;
  • SEBASTIAN, B.T. (Department of Mathematics, Universty of Technology)
  • 투고 : 2016.06.11
  • 심사 : 2017.02.13
  • 발행 : 2017.05.30
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초록

An analysis is made to study the solute transport in a Casson fluid flow through an annulus in presence of oscillatory flow field and determine how this flow influence the solute dispersion along the annular region. Axial dispersion coefficient and the mean concentration expressions are calculated using the generalized dispersion model. Dispersion coefficient in oscillatory flow is found to be a function of frequency parameter, Schmidt number, and the pressure fluctuation component besides its dependency on yield stress of the fluid, annular gap and time in the case of steady flow. Due to the oscillatory nature of the flow, the dispersion coefficient changes cyclically and the amplitude and magnitude of the dispersion increases initially with time and reaches a non - transient state after a certain critical time. This critical value varies with frequency parameter and independent of the other parameters. It is found that the presence of inner cylinder and increase in the size of the inner cylinder inhibits the dispersion process. This model may be used in understanding the dispersion phenomenon in cardiovascular flows and in particular in catheterized arteries.

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피인용 문헌

  1. Convection-diffusion in unsteady non-Newtonian fluid flow in an annulus with wall absorption vol.30, pp.4, 2018, https://doi.org/10.1007/s13367-018-0025-7
  2. The role of a porous wall on the solute dispersion in a concentric annulus vol.33, pp.11, 2017, https://doi.org/10.1063/5.0070653