For heat transfer calculation in fins, if the Biot number is very small (\(\text{Bi} < 0.1\)) it implies
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Biot Number physical interpretation:
- \(Bi < 0.1\): Conductive resistance is negligible. Temperature inside the cross-section is uniform. This justifies using the Lumped Parameter Capacity analysis for transient problems.
- \(Bi > 0.1\): Internal temperature gradients are significant and cannot be ignored; spatial variations must be accounted for using Fourier equations.