This article describes the numerical investigation of turbulent blood flow in the stenosed artery bifurcation under periodic acceleration of the human body. Numerical analyses for turbulent blood flow were performed for six simulation cases with different magnitude of periodic accelerations using a modified k-ε turbulence model which is considering drag reduction of non-Newtonian fluid. The blood was considered to be a non-Newtonian fluid which is based on the power-law viscosity model. In order to validate the modified k-ε model, numerical simulations were compared with laminar flow, the standard k-ε model and the Malin’s turbulence model for power-law fluid. As results, laminar flow showed under predictions of blood velocity and wall shear stress, on the other hand, standard k-ε model over estimates. The modified k-ε model represents intermediate characteristics between laminar and standard k-ε model, and the modified k-ε model show good agreements with Malin’s verified power law model. Moreover, the computing time and computer resource of the modified k-ε model are reduced about one third than low Reynolds number model including Malin’s model.