A thermally-driven oscillatory blood flow in bifurcating arteries is studied. Blood is treated as Newtonian, viscous, incompressible, homogeneous, magnetically susceptible, chemically reactive but of order one; the arteries are porous, bifurcate axi-symmetrically, and have negligible distensibility. The governing non-linear and coupled equations modeled on the Boussinesq assumptions are solved using the perturbation series expansion solutions. The solutions obtained for the temperature and velocity are expressed quantitatively and graphically. The results show that the temperature is increased by the increase in chemical reaction rate, heat exchange parameter, Peclet number, Grashof number and Reynolds number, but decreases with increasing magnetic field parameter (in the range of 0.1≤M2≤1.0) and bifurcation angle; the velocity increases as the magnetic field parameter (in the range of 0.1≤M2≤1.0 in the mother channel and 0.1≤M2≤0.5 in the daughter channel), chemical reaction rate (in the range of 0.1≤δ12≤0.5), Grashof number (in the range of 0.1≤Gr≤0.5), Reynolds number and bifurcation angle. The increase and decrease in the flow variables have strong implications on the arterial blood flow.
W. I. A. Okuyade
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
Professor T. M. Abbey
Applied Mathematics and Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria.
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