Hagen-Poiseuille Flow in a Quarter-Elliptic Tube

We present a rare exact solution of the Navier–Stokes equations for the Hagen–Poiseuille flow through a quarter-elliptic tube. Utilizing the separation of variables method, we derive the solution and report expressions for both the volumetric flow rate and the friction factor–Reynolds number product...

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Bibliographic Details
Main Authors: Mateus D. Bacelar, Hugo C. M. G. Ferreira, Rajai S. Alassar, André B. Lopes
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/8/9/247