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Edited: Jul 12, 2023

For what kind of configurations of fins do we use the modified Bessels functions to calculate fin efficiency?

Ans: For fins with non-uniform cross sections the Bessel Functions have to be used to calculate heat transfer and efficiency.

Some examples of fins with non-uniform cross sections:

Straight Triangular Fins
Straight Parabolic Fins
Circular Fins of rectangular profile
Pin fins of Triangular profile
Pin fins of Parabolic profile with blunt tip

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