Variational approach for Stokes flow through a two-dimensional non-uniform channel

被引：0

作者：

Banerjee, Abhishek ^{[1
,2
,3
]}

Oron, Alexander ^{[2
]}

Agnon, Yehuda ^{[3
]}

机构：

[1] SRM Inst Sci & Technol, Dept Math, Chennai 600089, Tamilnadu, India

[2] Technion Israel Inst Technol, Fac Mech Engn, IL-3200003 Haifa, Israel

[3] Technion Israel Inst Technol, Fac Civil & Environm Engn, IL-3200003 Haifa, Israel

来源：

SCIENTIFIC REPORTS | 2024年 / 14卷 / 01期

基金：

以色列科学基金会;

关键词：

Stokes flow; Variational calculus; Euler-Lagrange equation; Finite volume method; SLOW VISCOUS-FLOW; WALL; PRINCIPLE; FRACTURE; MODEL;

D O I：

10.1038/s41598-024-66500-4

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A variational approach is proposed to study the Stokes flow in a two-dimensional non-uniform channel. By using the stationarity of the Lagrangian, the Euler-Lagrange equations are established which leads to a simple set of ordinary differential equations to provide an estimate for the average pressure drop explicitly in terms of the channel shape function. The results for the pressure drop show an excellent agreement with the second-order extended lubrication theory. A higher-order formulation further improves the accuracy of the results for the pressure drop along the channel.

引用

页数：11

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