Chemical Engineering > GATE 2021 > Optimization
A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of pipe is given by Cpump=(48.13 q2μ)/D4. The annual cost of the installed piping system per unit length of pipe is given by Cpiping=45.92D. Here, D is the inner diameter of the pipe in meter, q is the volumetric flowrate of the liquid in m3s-1 and μ is the viscosity of the liquid in Pa.s.
If the viscosity of the liquid is 20×10-3 Pa.s and the volumetric flow rate of the liquid is 10-4 m3s-1, the economic inner diameter of the pipe is _______ meter (round off to 3 decimal places).
If the viscosity of the liquid is 20×10-3 Pa.s and the volumetric flow rate of the liquid is 10-4 m3s-1, the economic inner diameter of the pipe is _______ meter (round off to 3 decimal places).
Correct : 0.015
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