#perturbation method

This paper studies the effects of Reynolds number on the oscillating flow in through a one-point stenosed artery. 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.

Author(s) Details

W. I. A. Okuyade Department of Mathematics, University of Port Harcourt, Port Harcourt, Nigeria.

Prof. T. M. Abbey Department of Physics, Applied Mathematics and Theoretical Physics Group, University of Port Harcourt, Port Harcourt, Nigeria.

Steady MHD fluid flow in a bifurcating rectangular porous channel is presented. The governing nonlinear equations are solved analytically by the methods of similarity transformation and regular perturbation series expansions. Expressions for the temperature, concentration and velocity are obtained and analyzed graphically. The results show that increase in bifurcation angle and Grashof numbers increase the transport velocity, whereas the increase in the magnetic field parameter decreases it. Furthermore, it is seen that an increase in bifurcation angle increases the temperature of the flow.

Author(s) Details

W. I. A. Okuyade Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.

T. M. Abbey Applied Mathematics and Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria.

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