Calculate the plate efficiency for the plate design considered in Examples 11.11 and 11.12, using Van Winkle’s correlation.
Calculate the plate efficiency for the plate design considered in Examples 11.11 and 11.12, using Van Winkle’s correlation.
From Examples 11.12 and 11.11:
\rho_{L}=925 kg / m ^{3},
\rho_{v}=1.35 kg / m ^{3}
\mu_{L}=0.34 \times 10^{-3} Ns / m ^{2}
\mu_{v}=10.0 \times 10^{-6} Ns / m ^{2}
D_{L K}=D_{L}=4.64 \times 10^{-9} m ^{2} / s
h_{w}=50 mm
F A(\text { fractional area })=A_{h} / A_{c}=\frac{0.038}{0.50}=0.076
u_{v}=\text { superficial vapour velocity }=\frac{0.81}{0.50}=1.62 m / s
\sigma_{L}=60 \times 10^{-3} N / m
\operatorname{Dg}=\left(\frac{60 \times 10^{-3}}{0.34 \times 10^{-3} \times 1.62}\right)=109
Sc =\left(\frac{0.34 \times 10^{-3}}{925 \times 4.64 \times 10^{-9}}\right)=79
\operatorname{Re}=\left(\frac{50 \times 10^{-3} \times 1.62 \times 1.35}{0.34 \times 10^{-3} \times 0.076}\right)=4232
E_{m V}=0.07(109)^{0.14}(79)^{0.25}(4232)^{0.08} = 0.79 (79 per cent)