Estimate the optimum pipe diameter for a flow of HCl of 7000 kg/h at 5 bar, 15^{\circ} C, stainless steel pipe. Molar volume 22.4 m ^{3} / kmol, at 1 bar, 0^{\circ} C.
Question 5.7: Estimate the optimum pipe diameter for a flow of HCl of 7000...
Molecular weight HCl = 36.5.
Density at operating conditions =\frac{36.5}{22.4} \times \frac{5}{1} \times \frac{273}{288}=7.72 kg / m ^{3}
Optimum diameter =260\left(\frac{7000}{3600}\right)^{0.52} 7.72^{-0.37} = 172.4 mm (5.15)
use 180-mm pipe.
Viscosity of HCl 0.013 m Ns / m ^{2}
R e=\frac{4}{\pi} \times \frac{7000}{3600} \times \frac{1}{0.013 \times 10^{-3} \times 180 \times 10^{-3}}=\underline{\underline{1.06} \times 10^{6}}, \text { turbulent }
Comparison of methods:
| Economic diameter | |
| Equation 5.15 | 180 mm |
| Peters and Timmerhaus (1991) | 9 in. (220 mm) carbon steel |
| Nolte (1978) | 7 in. (180 mm) carbon steel |
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