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  • ρ is the air density (typically 1200 g1.2 kg/m³ at room temperature).

  • v is the airflow velocity (m/s), which can be estimated from the fan's specifications.

  • L is a characteristic length (0.250m)

  • μ is the dynamic viscosity of air (0.01918 g1.918E-5 kg/ms)

Nu = 0.023 ⋅ Re0.8 ⋅ Pr0.33 ⋅ (L/D​)0.5 (Nusselt’s number for airflow parallel to fins)

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Q = ((0.023 ⋅ ρvL/μ​0.8 ⋅ Pr0.33 ⋅ (L/D​)0.5 ⋅ k)/L)Atotal​(Tobject−Tambient) (heat transferred)

Q = 27.2885 ⋅ ΔT

Sources:

https://www.engineeringtoolbox.com/air-prandtl-number-viscosity-heat-capacity-thermal-conductivity-d_2009.html

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