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The effects of slip velocity at a membrane surface on blood flow in the microcirculation

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Abstract

Closed-form solutions are presented for blood flow in the microcirculation by taking into account the influence of slip velocity at the membrane surface. In this study, the convective inertia force is neglected in comparison with that of blood viscosity on the basis of the smallness of the Reynolds number of the flow in microcirculation. The permeability property of the blood vessel is based on the well known Starling's hypothesis [11]. The effects of slip coefficient on the velocity and pressure fields are clearly depicted.

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Pal, D., Rudraiah, N. & Devanathan, R. The effects of slip velocity at a membrane surface on blood flow in the microcirculation. J. Math. Biology 26, 705–712 (1988). https://doi.org/10.1007/BF00276149

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Key words

  • Blood flow
  • Biomechanics
  • Newtonian fluid
  • Microcirculation