Hagen-Poiseuille Flow in a Quarter-Elliptic Tube

被引：1

作者：

Bacelar, Mateus D. ^{[1
]}

Ferreira, Hugo C. M. G. ^{[2
]}

Alassar, Rajai S. ^{[3
]}

Lopes, Andre B. ^{[2
]}

机构：

[1] Aeronaut Inst Technol, Dept Sci & Aerosp Technol, BR-12228900 Sao Jose Dos Campos, SP, Brazil

[2] Univ Brasilia, Fac Technol, Dept Mech Engn, BR-70910900 Brasilia, DF, Brazil

[3] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Renewable Energy & Power, Dept Math, Dhahran 31261, Saudi Arabia

来源：

FLUIDS | 2023年 / 8卷 / 09期

关键词：

laminar flow; internal viscous flow; pipe flow; exact solution; Navier-Stokes equations; SECTOR CROSS-SECTIONS; DUCTS;

D O I：

10.3390/fluids8090247

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页数：9

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