Heil, M. & Hazel, A. L. (2003) Mass transfer from a finite strip near
an oscillating stagnation point --- implications for atherogenesis.
Journal of Engineering Mathematics 47 315-334.
We consider the mass transfer from a finite-length strip
near a two-dimensional, oscillating stagnation-point flow in an
incompressible, Newtonian fluid.
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,
we find 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.
Page last modified: February 06, 2004
Back to Matthias Heil's home page..