An identity derived by a 90◦ turn of a classical fluid-mechanics problem
Document Type
Article
Publication Date
1-1-2020
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
First Page
532
Last Page
534
Recommended Citation
Saadatian, S., & Wong, H. (2020). An identity derived by a 90◦ turn of a classical fluid-mechanics problem. Applied Mathematics E - Notes, 20, 532-534. Retrieved from https://repository.lsu.edu/mechanical_engineering_pubs/2298
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