A delicate pharmaceutical liquid is to be transported at a constant flow rate of Q =...

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A delicate pharmaceutical liquid is to be transported at a constant flow rate of Q = 0.1 m/min through a smooth cylindrical pipeline of length, L = 25 m. The shear stress should not exceed 0.52 Pa. The fluid behaves like a Newtonian flow with a density of 830 kg/m and dynamic viscosity of 5.2 10-3 Pa. s. The desired velocity profile is given as: 1 AP Uz = -(1- - R) 4 1 where AP is the pressure drop, and R is the radius of the pipe. (a) Where would the minimum and maximum shear stresses occur in the pipe? (b) Determine the minimum diameter of the pipe required to maintain a laminar flow regime. (c) Calculate the pressure drop for the minimum pipe diameter. A delicate pharmaceutical liquid is to be transported at a constant flow rate of Q = 0.1 m/min through a smooth cylindrical pipeline of length, L = 25 m. The shear stress should not exceed 0.52 Pa. The fluid behaves like a Newtonian flow with a density of 830 kg/m and dynamic viscosity of 5.2 10-3 Pa. s. The desired velocity profile is given as: 1 AP Uz = -(1- - R) 4 1 where AP is the pressure drop, and R is the radius of the pipe. (a) Where would the minimum and maximum shear stresses occur in the pipe? (b) Determine the minimum diameter of the pipe required to maintain a laminar flow regime. (c) Calculate the pressure drop for the minimum pipe diameter.