Fin Efficiency: pin#cylindrical
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 |
|---|---|---|---|---|---|---|---|---|---|---|
| pin#cylindrical | 0 | pin length; use corrected Lc=L+D/4 for convective tip | 1 | cylindrical | pin | tanh(mL)/mL | Pin spine fin uniform circular cross-section | sqrt(4h/(k*D)) = sqrt(hP/(k*Ac)) for circular pin of diameter D | Uniform circular cross-section pin. Identical formula to rectangular straight fin. m uses pin diameter D=4Ac/P. | insulated |
| pin#cylindrical | 0.2 | pin length; use corrected Lc=L+D/4 for convective tip | 0.9869 | cylindrical | pin | tanh(mL)/mL | Pin spine fin uniform circular cross-section | sqrt(4h/(k*D)) = sqrt(hP/(k*Ac)) for circular pin of diameter D | Uniform circular cross-section pin. Identical formula to rectangular straight fin. m uses pin diameter D=4Ac/P. | insulated |
| pin#cylindrical | 0.4 | pin length; use corrected Lc=L+D/4 for convective tip | 0.9499 | cylindrical | pin | tanh(mL)/mL | Pin spine fin uniform circular cross-section | sqrt(4h/(k*D)) = sqrt(hP/(k*Ac)) for circular pin of diameter D | Uniform circular cross-section pin. Identical formula to rectangular straight fin. m uses pin diameter D=4Ac/P. | insulated |
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