Thermally-Driven Blood Flow in a Bifurcating Artery | Chapter 07 | New Insights on Chemical Research Vol. 1

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.

Author(s) Details

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.

View Volume: http://bp.bookpi.org/index.php/bpi/catalog/book/105

Fluid Flow in Bifurcating Rectangular Porous Systems under Magnetic Field Influence | Chapter 08 | Current Research in Science and Technology Vol. 2

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.

Read full article: http://bp.bookpi.org/index.php/bpi/catalog/view/78/1083/770-1
View Volume: https://doi.org/10.9734/bpi/crst/v2