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It is desired to transport continuously a delicate, liquid pharmaceutical product a distance of $30m$ at a flowrate of $0\mathrm{.}1\frac{m^3}{m}in$ though a smooth, cylindrical pipe. Turbulence in the pipe and shear rates $(|\frac{d{v}_z}{dr}|)$ exceeding $100s^{-1}$ are not permitted. The fluid exhibits Newtonian behavior, and the density and viscosity are $830k\frac{g}{m^3}$ and $11\mathrm{.}7{10}^{-3}Pa*s,$ respectively.

Minimum Pipe Diameter

Checkithe relationship between average velocity and volumetric flow rate for laminar flow.

Determine the minimum diameter of the pipe allowed.

$d=m$

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