In the design of a fin, the error involved in one dimensional fin analysis is negligible (less than about 1%) when

Explanation:-

Fins are used to enhance heat transfer rate from a primary surface by increasing the effective surface area.

The conventional performance of a given fin is usually presented via three common thermal indicators; (1) fin efficiency, (2) effectiveness, and (3) performance ratio.

Based on the largest transverse temperature variation, conclusion is that the one-dimensional model for fins is valid for Bi << 1.

The error in the dimensionless heat flow rate calculated from the one dimensional model as compared to the two dimensional model, for rectangular fins, is approximately 1% for,  Bi = 0.1

And we know that the Biot number is given by,

⇒ \( Bi = \frac{h\delta}{k}\;\)