What is the role of blood elasticity in the formation of CFL in microvessels? (INVITED)

Abstract eng:
The current work investigates the effect of blood viscoelasticity on the stress, velocity and haematocrit fields as well as the formation of the cell-depletion-layer for haemodynamics in microvessels lined with glycocalyx layer. To this end, we advance the inhomogeneous constitutive model proposed by Moyers Gonzalez-Owens-Fang (2015), treating properly the shear induced rbc migration mechanism and incorporating the effect of plasma viscoelasticity. The enhanced model (e-model) can accurately reproduce the experimental data by Damiano-Long-Smith (2004) and provide reasonable predictions for the rbc distribution, the shear-stress along the luminal surface. It is shown that blood viscoelasticity expressed in terms of Deborah number is quite small (O(0.3)), but plays a crucial role in the formation of the cell-depletion-layer. In particular, there is a critical value of Deborah number above which the formation of the cell-depletion-layer occurs.

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