Oscillatory Blood Flow in Convergent and Divergent Channels, Part 2: Effects of Reynolds Number
W. I. A. Okuyade *
Department of Mathematics, University of Port Harcourt, Port Harcourt, Nigeria.
T. M. Abbey
Department of Physics, Applied Mathematics and Theoretical Physics Group, University of Port Harcourt, Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper studies the effects of Reynolds number on the oscillating flow in convergent and divergent channels. The nonlinear equations governing the flow are solved analytically by the method of perturbation series solutions. Expressions for the velocities and wall shear stress are obtained and analyzed graphically. It is found that increase in the Reynolds number increases the velocities and wall shear stress. Similarly, it is seen that a flow separation occurs in the radial velocity flow structure.
Keywords: Convergent and divergent channels, oscillatory flow, perturbation method