Estimate the optimum pipe diameter for a water flow rate of 10 kg/s, at 20^{\circ} C. Carbon steel pipe will be used. Density of water 1000 kg / m ^{3}.
Question 5.6: Estimate the optimum pipe diameter for a water flow rate of ...
d, optimum =293 \times(10)^{0.53} 1000^{-0.37} = 77.1 mm (5.14)
use 80-mm pipe.
Viscosity of water at 20^{\circ} C =1.1 \times 10^{-3} Ns / m ^{2},
R e=\frac{4 G}{\pi \mu d}=\frac{4 \times 10}{\pi \times 1.1 \times 10^{-3} \times 80 \times 10^{-3}}=1.45 \times 10^{5}
>4000, so flow is turbulent.
Comparison of methods:
| Economic diameter | |
| Equation 5.14 | 180 mm |
| Peters and Timmerhaus (1991) | 4 in. (100 mm) |
| Nolte (1978) | 80 mm |
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