Thermodynamics & Heat Transfer
Fin Efficiency Simulator
Evaluate the heat transfer effectiveness of a straight rectangular fin under convective boundary conditions. Visualize temperature propagation along the fin body and export node data.
Fin Type
Rectangular
Adiabatic Tip
Mesh
51 nodes
Live 1D Solver
Output
CSV
Export ready
Parameters
Material Preset (k)
Transient Warmup Sweep
Governing Equations
Fin Parameter m
m = √((2 · h) / (k · t))
Corrected Length Lc
Lc = L + t/2
Fin Efficiency η
η = tanh(m · Lc) / (m · Lc)
Temperature Ratio θ(x)
θ(x) = cosh(m(Lc - x)) / cosh(m · Lc)
Calculations assume 1D heat conduction with constant properties and uniform convection.
Corrected length Lc is used to account for convection losses from the fin tip under an adiabatic tip assumption.
High thermal conductivity k relative to convection h yields higher efficiency (flatter temperature profile).
Thermal Gradient and Parameters
Fin Efficiency (η)
82.8%
Fin Parameter (m)
15.81m⁻¹
Corrected Length
51.0mm
Tip Temperature Ratio
9.7%
Temperature Ratio Distribution Along Fin
Temperature Profile Data
| Position x (mm) | Transient Temp Ratio (%) | Steady-State Ratio (%) |
|---|---|---|
| 0.0 | 100.0 | 100.0 |
| 5.0 | 95.0 | 95.0 |
| 10.0 | 90.7 | 90.7 |
| 15.0 | 86.8 | 86.8 |
| 20.0 | 83.6 | 83.6 |
| 25.0 | 80.8 | 80.8 |
| 30.0 | 78.6 | 78.6 |
| 35.0 | 76.8 | 76.8 |
| 40.0 | 75.6 | 75.6 |
| 45.0 | 58.7 | 74.8 |
| 50.0 | 9.7 | 74.5 |