Calculator · Thermal Engineering

Fin Efficiency & Heat Transfer

Straight uniform adiabatic-tip fin efficiency, fin parameter and signed heat rate, including the zero-length limit.

Inputs

Results

Heat-transfer rate Q̇

4.3053 W

Surface/base → fluid

Fin parameter m7.0711 m⁻¹
mL0.70711
Fin efficiency η0.86106

Assumptions

  • · steady 1D fin
  • · constant h and k
  • · adiabatic tip

Technical reference

m = √(hP/(kA꜀))

Q̇ = √(hPkA꜀)(Tᵦ − T∞)tanh(mL)

η = tanh(mL)/(mL)

R
thermal resistance[K/W]
Q̇
signed heat-transfer rate[W]
k
thermal conductivity[W/(m·K)]
h
prescribed convection coefficient[W/(m²·K)]

Uniform straight fin with adiabatic tip only. Zero length gives Q̇ = 0 and efficiency = 1. Effectiveness is not exposed by the frozen primitive.

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