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During a pilot test, a Non-Newtonian fluid flows in a horizontal 37 mm ID pipe. The pressure drop per length is measured to be 917

During a pilot test, a Non-Newtonian fluid flows in a horizontal 37 mm ID pipe. The pressure drop per length is measured to be 917 Pa/m and it is experimentally determined that the Shear stress () [Pa] and Shear rate () [s-1] are related by the following equation:

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Estimate the average linear velocity (m/s), volumetric flow rate (m3/s) and the pressure drop per length for the same experimental fluid when flowing in an industrial scale pipe of 180mm ID with the same wall shear stress.

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