What is the efficciency of a plate fin of length L = 1.5 cm and thickness 2 mm, (if k = 210 W/m-K, h = 285 W/m²k).
What is the efficciency of a plate fin of length L = 1.5 cm and thickness 2 mm, (if k = 210 W/m-k, h = 285 W/m²k)?
Efficiency of a plate fin,
Efficiency =\( \eta =\frac{tan\,h\left ( mL \right )}{mL}\)
\[L=1.5+\frac{0.2}{2}=1.6\,cm=1.6\times10^{-2}\,m\]
\[m=\sqrt{\frac{2h}{Kt}}=\sqrt{\frac{hP}{KA_{c}}}=\sqrt{\frac{2\times 285}{210\times2\times10^{-3}}}\]
\[mL=0.589\]
\[\eta = \frac{tan\,h\left ( 0.589 \right )}{0.589} = 0.899\,=\,89.9\, \%\]
