There has been some interest in the flow drag and heat transfer reduction effects of brine flow with drag reduction surfactants from the viewpoint of the effective energy consumption in an industrial cooling system. Therefore, the flow friction coefficient and mean forced convection heat transfer coefficient of brine flow (Ethylene Glycol (EG) solution for organic brine) with drag reduction surfactant (Oleyldihydroxyetyl Amine Oxide (ODEAO) of non-ion surfactant) have been discussed in the previous report. And it had been shown that the flow drag and heat transfer reduction effect of EG brine with ODEAO were influenced by each parameter of concentration of EG, concentration of ODEAO and temperature of the EG brine with ODEAO. The present report shows that the range of the flow drag and heat transfer reduction effect was determined by the break up of the surfactant's rod-like micelles aggregation, which cause the flow drag reduction effect, by a high shear stress. And it was found that the surfactant's rod-like micelles aggregation was reinforced by a polar-nonpolar solubilization between the ODEAO's rod-like micelles and the EG molecules. Finally, Useful non-dimensional correlative equations for maximum flow resistance and heat transfer reduction effect are derived in terms of various non-dimensional parameters.