Fin Efficiency: straight#triangular
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#triangular | 0 | fin length | 1 | triangular | straight | (1/mL)*I1(2mL)/I0(2mL) | Straight fin triangular profile tip thickness zero | sqrt(2h/(k*t_b)) where t_b is base half-thickness | Profile t(x)=t_b*(1-x/L). Tip naturally insulated. I1 I0 are modified Bessel functions first kind. Lower efficiency than rectangular at same mL. | insulated |
| straight#triangular | 0.2 | fin length | 0.9805 | triangular | straight | (1/mL)*I1(2mL)/I0(2mL) | Straight fin triangular profile tip thickness zero | sqrt(2h/(k*t_b)) where t_b is base half-thickness | Profile t(x)=t_b*(1-x/L). Tip naturally insulated. I1 I0 are modified Bessel functions first kind. Lower efficiency than rectangular at same mL. | insulated |
| straight#triangular | 0.4 | fin length | 0.9277 | triangular | straight | (1/mL)*I1(2mL)/I0(2mL) | Straight fin triangular profile tip thickness zero | sqrt(2h/(k*t_b)) where t_b is base half-thickness | Profile t(x)=t_b*(1-x/L). Tip naturally insulated. I1 I0 are modified Bessel functions first kind. Lower efficiency than rectangular at same mL. | insulated |
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