Oscillatory flow of a micropolar fluid as a model for blood flow

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The oscillatory flow of a micropolar fiuid in a circular tube is investigated, taking couple stress and spin angular momentum into consideration. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. Further the energy dissipation over the cross section is calculated numerically. These solutions are characterized by three parameters, i.e. dimensionless frequency W which is called Womersley number, the ratio ε of vortex viscosity to shear viscosity, and the size effect parameter λ. The solutions are compared with those of Newtonian fluid and how to vary with ε and λ is discussed. Moreover the velocity profiles are compared with the experimental data observed in pulsatile blood flow by Bugliarello and Sevilla.

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