Asian Research Journal of Mathematics

Oscillatory flow in bifurcating blood capillaries is presented. The governing nonlinear and coupled equations expressed in the form of the Boussinesq approximations are solved by the method of perturbation series expansions. Solutions for the concentration, temperature and velocity are obtained, and presented quantitatively using Malple 18 computational soft ware. The results show that the rate of chemical reaction, Hartmann number (M²≤I.0), heat exchange parameter and Grashof number (Gr/Gc≤I.0) tend to increase the velocity of the flow. The increase in the velocity structure has some attendant implications. In fact, it tends to increase the rate of transport of oxygen and nutrient-rich blood to the tissues, and this in turn enhances the physiological well-being of man.