Thermally-Driven Blood Flow in a Bifurcating Artery

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≤δ1
2≤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.