Fin Efficiency: straight#rectangular
Fin efficiency (eta) vs dimensionless parameter mL for straight, annular, and pin fins — rectangular, triangular, parabolic, and conical profiles
| pk | mL value | L definition | efficiency eta | fin profile | fin type | formula | geometry description | m definition | notes | tip condition |
|---|---|---|---|---|---|---|---|---|---|---|
| straight#rectangular | 0 | fin length; use corrected Lc=L+t/2 for convective tip | 1 | rectangular | straight | tanh(mL)/mL | Straight fin uniform rectangular cross-section | sqrt(hP/(k*Ac)) = sqrt(2h/(k*t)) for flat fin of half-thickness t | Most common fin geometry. Convective tip: use Lc=L+t/2 (insulated-tip approximation). Rectangular profile uniform Ac=wt. | insulated |
| straight#rectangular | 0.2 | fin length; use corrected Lc=L+t/2 for convective tip | 0.9869 | rectangular | straight | tanh(mL)/mL | Straight fin uniform rectangular cross-section | sqrt(hP/(k*Ac)) = sqrt(2h/(k*t)) for flat fin of half-thickness t | Most common fin geometry. Convective tip: use Lc=L+t/2 (insulated-tip approximation). Rectangular profile uniform Ac=wt. | insulated |
| straight#rectangular | 0.4 | fin length; use corrected Lc=L+t/2 for convective tip | 0.9499 | rectangular | straight | tanh(mL)/mL | Straight fin uniform rectangular cross-section | sqrt(hP/(k*Ac)) = sqrt(2h/(k*t)) for flat fin of half-thickness t | Most common fin geometry. Convective tip: use Lc=L+t/2 (insulated-tip approximation). Rectangular profile uniform Ac=wt. | insulated |
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