A lift formula applied to low-Reynolds-number unsteady flows | |
Wang SZ(王士召)1![]() ![]() ![]() | |
Source Publication | PHYSICS OF FLUIDS
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2013-09-01 | |
Volume | 25Issue:9Pages:093605/1-093605/22 |
ISSN | 1070-6631 |
Abstract | A lift formula for a wing in a rectangular control volume is given in a very simple and physically lucid form, providing a rational foundation for calculation of the lift of a flapping wing in highly unsteady and separated flows at low Reynolds numbers. Direct numerical simulations on the stationary and flapping two-dimensional flat plate and rectangular flat-plate wing are conducted to assess the accuracy of the lift formula along with the classical Kutta-Joukowski theorem. In particular, the Lamb vector integral for the vortex force and the acceleration term of fluid for the unsteady inertial effect are evaluated as the main contributions to the unsteady lift generation of a flapping wing.;A lift formula for a wing in a rectangular control volume is given in a very simple and physically lucid form, providing a rational foundation for calculation of the lift of a flapping wing in highly unsteady and separated flows at low Reynolds numbers. Direct numerical simulations on the stationary and flapping two-dimensional flat plate and rectangular flat-plate wing are conducted to assess the accuracy of the lift formula along with the classical Kutta-Joukowski theorem. In particular, the Lamb vector integral for the vortex force and the acceleration term of fluid for the unsteady inertial effect are evaluated as the main contributions to the unsteady lift generation of a flapping wing. (C) 2013 AIP Publishing LLC. |
Keyword | Reynolds Number Acceleration Terms Control Volumes Flapping Wing Inertial Effect Lamb Vectors Low Reynolds Number Separated Flows Unsteady Lift |
Subject Area | 水动力学 |
DOI | 10.1063/1.4821520 |
URL | 查看原文 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000325397800047 |
WOS Keyword | Insect Flight ; Vortex Theory ; Aerodynamic Force ; Flapping Flight ; Wake Structure ; Animal Flight ; Viscous-flow ; Bat Flight ; Kinematics ; Airfoil |
WOS Research Area | Mechanics ; Physics |
WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
Funding Organization | National Natural Science Foundation of China(10872201 ; National Natural Science Foundation of China [10872201, 11232011, 11302238, 11372331] ; National Basic Research Program of China (973 Program) [2013CB834100 (Nonlinear science)] ; National Supercomputer Center in Tianjin ; National Basic Research Program of China (973 Program)(2013CB834100 (Nonlinear science)) ; National Supercomputer Center in Tianjin ; 11232011 ; 11302238 ; 11372331) |
Department | LNM湍流 |
Classification | 一类/力学重要期刊 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/47531 |
Collection | 非线性力学国家重点实验室 |
Corresponding Author | He, GW (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China. |
Affiliation | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Western Michigan Univ, Dept Mech & Aeronaut Engn, Kalamazoo, MI 49008 USA |
Recommended Citation GB/T 7714 | Wang SZ,Zhang X,He GW,et al. A lift formula applied to low-Reynolds-number unsteady flows[J]. PHYSICS OF FLUIDS,2013,25,9,:093605/1-093605/22. |
APA | Wang SZ,Zhang X,He GW,Liu TS,&He, GW .(2013).A lift formula applied to low-Reynolds-number unsteady flows.PHYSICS OF FLUIDS,25(9),093605/1-093605/22. |
MLA | Wang SZ,et al."A lift formula applied to low-Reynolds-number unsteady flows".PHYSICS OF FLUIDS 25.9(2013):093605/1-093605/22. |
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