Hagen-Poiseuille Flow in a Quarter-Elliptic Tube-Reference-Cited by-同舟云学术

Hagen-Poiseuille Flow in a Quarter-Elliptic Tube

Published:2023-09-07 Issue:9 Volume:8 Page:247
ISSN:2311-5521
Container-title:Fluids
language:en
Short-container-title:Fluids

Author:

Bacelar Mateus D.¹^ORCID,Ferreira Hugo C. M. G.²,Alassar Rajai S.³^ORCID,Lopes André B.²^ORCID

Affiliation:

1. Departament of Science and Aerospace Technology, Aeronautics Institute of Technology, São José dos Campos 12228-900, SP, Brazil

2. Departament of Mechanical Engineering, Faculty of Technology, University of Brasília, Brasília 70910-900, DF, Brazil

3. Interdisciplinary Research Center for Renewable Energy and Power Systems, Department of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

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.

Funder

Fundação de Apoio à Pesquisa do Distrito Federal

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Mechanical Engineering,Condensed Matter Physics

Link

https://www.mdpi.com/2311-5521/8/9/247/pdf

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