On nonlocal fractal laminar steady and unsteady flows

被引：37
|
作者：
El-Nabulsi, Rami Ahmad [1 ,2 ,3 ]
机构：
[1] Athens Inst Educ & Res, Div Math, 8 Valaoritou St, Athens 10671, Greece
[2] Athens Inst Educ & Res, Div Phys, 8 Valaoritou St, Athens 10671, Greece
[3] Shenzhen Technol Univ, Biomed Device Innovat Ctr, 3002 Lantian Rd, Shenzhen 518118, Peoples R China
来源：
ACTA MECHANICA | 2021年 / 232卷 / 04期
关键词：
37N10; 35Q30; NAVIER-STOKES EQUATIONS; OSCILLATORY BEHAVIOR; FLUID; DYNAMICS; JERK; MECHANICS; SYSTEMS; MOTION;
D O I：
10.1007/s00707-020-02929-8
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this study, we join the concept of fractality introduced by Li and Ostoja-Starzewski with the concept of nonlocality to produce a new set of nonlocal fractal fluid equations of motion. Both the unsteady and steady laminar flows are discussed. It is revealed that a damped wave equation emerges from the nonlocal fractal Navier-Stokes equation, a result which could lead to a better understanding of fluids turbulence.
引用
收藏
页码：1413 / 1424
页数：12
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