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
相关论文
共 50 条
  • [41] ADVANCED COMPUTATIONAL MODELING OF STEADY AND UNSTEADY CAVITATING FLOWS
    Li, Huiying
    Kelecy, Frank J.
    Egelja-Maruszewski, Aleksandra
    Vasquez, Sergio A.
    IMECE 2008: HEAT TRANSFER, FLUID FLOWS, AND THERMAL SYSTEMS, VOL 10, PTS A-C, 2009, : 413 - 423
  • [42] Limit cycle flutter of airfoils in steady and unsteady flows
    Shahrzad, P
    Mahzoon, M
    JOURNAL OF SOUND AND VIBRATION, 2002, 256 (02) : 213 - 225
  • [43] COMPOSITE METHOD FOR THE MIXING OF 2 STEADY LAMINAR FLOWS
    DEMETRIADES, A
    AIAA JOURNAL, 1991, 29 (02) : 168 - 173
  • [44] Calculations of internal steady laminar flows with vortex structures
    Fialová, M
    Kozel, K
    Safarik, P
    FOURTH INTERNATIONAL SYMPOSIUM ON EXPERIMENTAL AND COMPUTATIONAL AEROTHERMODYNAMICS OF INTERNAL FLOWS, VOL I, PROCEEDINGS, 1999, : 223 - 230
  • [45] DISTRIBUTION OF REYNOLDS SHEAR STRESS IN STEADY AND UNSTEADY FLOWS
    Alfadhli, Ishraq
    Yang, Shu-Qing
    Sivakumar, Muttucumaru
    GEOCONFERENCE ON WATER RESOURCES, FOREST, MARINE AND OCEAN ECOSYSTEMS, 2013, : 109 - 116
  • [46] A YAWMETER FOR STEADY AND LOW-FREQUENCY UNSTEADY FLOWS
    WHITE, AS
    PARKER, AG
    JOURNAL OF PHYSICS E-SCIENTIFIC INSTRUMENTS, 1983, 16 (03): : 231 - 235
  • [47] Accuracy of Steady Pneumatic Probes in Unsteady Turbomachinery Flows
    Widera, Tim Sebastian
    Patzer, Bastian
    Behre, Stephan
    Jeschke, Peter
    JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME, 2024, 146 (11):
  • [48] Steady and unsteady fluidised granular flows down slopes
    Jessop, D. E.
    Hogg, A. J.
    Gilbertson, M. A.
    Schoof, C.
    JOURNAL OF FLUID MECHANICS, 2017, 827 : 67 - 120
  • [49] MIXING LOSSES IN STEADY AND UNSTEADY SIMULATIONS OF TURBOMACHINERY FLOWS
    Schluess, Daniel
    Frey, Christian
    PROCEEDINGS OF THE ASME TURBO EXPO: TURBOMACHINERY TECHNICAL CONFERENCE AND EXPOSITION, 2018, VOL 2C, 2018,
  • [50] On the steady and unsteady blood flows in an artery with an overlapping stenosis
    Roy, Ranadhir
    Riahi, Daniel N.
    ANALYSIS AND MATHEMATICAL PHYSICS, 2012, 2 (04) : 447 - 460
12345