An identity derived by a 90° turn of a classical fluid-mechanics problem

Document Type

Article

Publication Date

12-1-2020

Abstract

We take the classical problem of laminar flow in a rectangular duct and turn the duct 90°. Driven by the same pressure gradient, the volume flow rate should remain the same. This leads to an identity that relates a polynomial to infinite series of tanh functions. We discuss the mathematical properties of this identity and verify it by two different methods.

Publication Source (Journal or Book title)

Applied Mathematics E-Notes

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