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Mechanical Engineering QUESTION #2427
Question 1
The efficiency \(\eta_f\) of a fin is defined as:
  • Actual fin heat transfer rate divided by the heat transfer if the entire fin were at the base temperature✔️
  • Fin area divided by base area
  • \(h \cdot A_{fin} / (k \cdot A_c)\)
  • \(1 - e^{-mL}\) always
Correct Answer Explanation
Fin efficiency: \(\eta_f=q_{fin}/q_{max}\) where \(q_{max}=hA_{fin}(T_b-T_\infty)\). For a straight fin with insulated tip: \(\eta_f=\tanh(mL)/(mL)\).