In the present paper, the Author has investigated the pulsatile flow of blood through an artery. The arterial vessel has been assumed to be small, rigid cylindrical tube with circular uniform cross-section. The blood flow will be steady and a slip velocity is imposed in the arterial wall. By using microcontinuum technique the solutions for variation of blood velocity and variation of cell rotational velocity are obtained for both steady and unsteady motion of the blood. The both Fourier-Bessel series and Laplace-Hankel transforms are applied for obtaining such solutions. The effect of the slip parameter on both steady and unsteady motion of the blood is shown in graphical forms. It is observed that the slip velocity bear the potential to influence the velocity distribution of blood to a considerable extent. Further, the imposition of the slip velocity leads to a growth in each of axial velocity of blood and the cell rotational velocity of blood.

steady and pulsatile motion of blood, slip flow regime, blood velocity, Fourier-Bessel series, Laplace-Hankel transforms.

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