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Journal of Engineering Mathematics

, Volume 47, Issue 3–4, pp 315–334 | Cite as

Mass transfer from a finite strip near an oscillating stagnation point – implications for atherogenesis

  • Matthias Heil
  • Andrew L. Hazel
Article

Abstract

The mass transfer from a finite-length strip near a two-dimensional, oscillating stagnation-point flow in an incompressible, Newtonian fluid is considered. The problem is investigated using a combination of asymptotic and numerical methods. The aim of the study is to determine the effect of the location of the strip, relative to the time-averaged position of the stagnation point, on the mass transfer into the fluid. The study is motivated by the problem of mass transfer from an injured region of the arterial wall into the blood, a process that may be of considerable importance in atherogenesis. For physiologically realistic parameter values, it is found that the fluid flow is quasi-steady, but the mass transfer exhibits genuine time-dependence and a high-frequency asymptotic solution provides an accurate prediction of the time-average mass transfer. In this regime, there is a significant reduction in mass transfer when the centre of the strip is located at the point of zero time-averaged wall shear rate, or equivalently wall shear stress, which may serve to explain, at least partially, the correlation between arterial disease and regions of low wall shear stress.

Keywords

Mass Transfer Fluid Flow Shear Rate Wall Shear Stress Arterial Wall 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Matthias Heil
    • 1
  • Andrew L. Hazel
    • 1
  1. 1.Department of MathematicsUniversity of ManchesterManchesterUK

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