Hagen-Poiseuille Flow in a Quarter-Elliptic Tube

Mateus D. Bacelar; Hugo C.M.G. Ferreira; Rajai S. Alassar; André B. Lopes

doi:10.3390/fluids8090247

Hagen-Poiseuille Flow in a Quarter-Elliptic Tube

Mateus D. Bacelar, Hugo C.M.G. Ferreira, Rajai S. Alassar, André B. Lopes^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Article number	247
Journal	Fluids
Volume	8
Issue number	9
DOIs	https://doi.org/10.3390/fluids8090247
State	Published - Sep 2023

Bibliographical note

Publisher Copyright:
© 2023 by the authors.

Keywords

Navier–Stokes equations
exact solution
internal viscous flow
laminar flow
pipe flow

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.3390/fluids8090247

Cite this

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abstract = "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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author = "Bacelar, \{Mateus D.\} and Ferreira, \{Hugo C.M.G.\} and Alassar, \{Rajai S.\} and Lopes, \{Andr{\'e} B.\}",

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AU - Alassar, Rajai S.

AU - Lopes, André B.

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AB - 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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KW - exact solution

KW - internal viscous flow

KW - laminar flow

KW - pipe flow

UR - https://www.scopus.com/pages/publications/85172772153

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Hagen-Poiseuille Flow in a Quarter-Elliptic Tube

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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