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• W2149503118 abstract "In this paper pressure gradient vs. volume flow rate calculations over a wide range of oscillatory frequencies for oscillatory tube flow of healthy human blood are performed using the non-homogeneous hemorheological model of MoyersGonzalez et al. [25, 26, 27]. Results at low (2 Hz) oscillatory frequencies are shown to be in close conformity to the experimental data of Thurston [39] and the behaviour may be interpreted using a linear viscoelastic model. As the oscillatory frequencies increase a resonant frequency at which flow rate amplitude enhancement occurs is encountered. For frequencies greater than the resonant frequency the pressure gradient amplitude required to maintain a constant volume flow rate amplitude increases with the oscillatory frequency. For very high frequency oscillations we use a multiple time scales technique in conjunction with our non-homogeneous hemorheological model to solve for the leading order flow variables. It is found that the leading order expressions for the cell number density, average aggregate size and rr-component of elastic stress (i.e. that due to the red blood cells) are functions only of the radial component r. The O(1) elastic shear stress is shown to be zero, so that, for sufficiently large values of the oscillatory frequency, the red cell contribution to the total shear stress tends to zero. Using our multiple time scales method it is also shown that the model behaves in the very high frequency regime like a generalised linear viscoelastic fluid, having a radially dependent complex viscosity. This allows us to explain the computed results using asymptotic expressions for the in phase and π/2 out of phase components of the pressure gradient in a linear viscoelastic fluid. In particular, we may predict the apparent complex viscosity of human blood in very high frequency oscillatory tube flow." @default.
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• W2149503118 date "2009-11-01" @default.
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• W2149503118 title "On the high frequency oscillatory tube flow of healthy human blood" @default.
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• W2149503118 doi "https://doi.org/10.1016/j.jnnfm.2009.06.005" @default.
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