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A Newtonian liquid of viscosity 0.1 N s/m2 is flowing through a pipe of 25 mm diameter and 20 m in length, and the pressure

A Newtonian liquid of viscosity 0.1 N s/m2 is flowing through a pipe of 25 mm diameter and 20 m in length, and the pressure drop is 105 N/m2 . As a result of a process change, a small quantity of a polymer is added to the liquid and this causes the liquid to exhibit non-Newtonian characteristics; its rheology is described adequately by the power-law model and the flow index is 0.33. The apparent viscosity of the modified fluid is equal to the viscosity of the original liquid at a shear rate of 1000 s-1 . If the pressure difference over the pipe is unaltered, what will be the ratio of the volumetric flowrates of the two liquids?

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