Assumed the blood in arterioles is a non-Newtonian fluid governed by the power law, a detailed optimization analysis for arteriole blood vessels was conducted. A general conclusion,that(1)the blood flow is proportional to the cubic power of the vessel diameter; (2)the shear ratio of the vessel surface is independent of the vessel diameters. This result not only contained the previous research achievement on the Newtonian blood flow, but also overcome the insufficiency of it, and was identical with the recen...