Question 11.13: Calculate the plate efficiency for the plate design consider...

Calculate the plate efficiency for the plate design considered in Examples 11.11 and 11.12, using Van Winkle’s correlation.

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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)

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