Minimum-domain impulse theory for unsteady aerodynamic force

被引:32
|
作者
Kang, L. L. [1 ]
Liu, L. Q. [2 ]
Su, W. D. [1 ]
Wu, J. Z. [1 ]
机构
[1] Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
[2] Peking Univ, Coll Engn, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China
关键词
FLUID DYNAMIC FORCES; VELOCITY-FIELDS; BODIES; LIFT;
D O I
10.1063/1.5010008
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We extend the impulse theory for unsteady aerodynamics from its classic global form to finite-domain formulation then to minimum-domain form and from incompressible to compressible flows. For incompressible flow, the minimum-domain impulse theory raises the finding of Li and Lu ["Force and power of flapping plates in a fluid," J. Fluid Mech. 712, 598-613 (2012)] to a theorem: The entire force with discrete wake is completely determined by only the time rate of impulse of those vortical structures still connecting to the body, along with the Lamb-vector integral thereof that captures the contribution of all the rest disconnected vortical structures. For compressible flows, we find that the global form in terms of the curl of momentum del x (rho u), obtained by Huang [Unsteady Vortical Aerodynamics (Shanghai Jiaotong University Press, 1994)], can be generalized to having an arbitrary finite domain, but the formula is cumbersome and in general del x (rho u) no longer has discrete structures and hence no minimum-domain theory exists. Nevertheless, as the measure of transverse process only, the unsteady field of vorticity omega or rho omega may still have a discrete wake. This leads to a minimum-domain compressible vorticity-moment theory in terms of rho omega (but it is beyond the classic concept of impulse). These new findings and applications have been confirmed by our numerical experiments. The results not only open an avenue to combine the theory with computation-experiment in wide applications but also reveal a physical truth that it is no longer necessary to account for all wake vortical structures in computing the force and moment. Published by AIP Publishing.
引用
收藏
页数:13
相关论文
共 50 条
  • [21] A note on the Galilean invariance of aerodynamic force theories in unsteady incompressible flows
    An-Kang Gao
    Jiezhi Wu
    Acta Mechanica Sinica, 2019, 35 : 1150 - 1154
  • [22] Unsteady aerodynamic lateral force on a sphere under a uniform incoming flow
    Manzanares-Bercial, Raul
    Gomez-Ortega, Omar
    Meseguer-Garrido, Fernando
    Ogueta-Gutierrez, Mikel
    Franchini, Sebastian
    JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS, 2022, 231
  • [23] New mixed method for unsteady aerodynamic force approximations for aeroservoelasticity studies
    Biskri, Djallel
    Botez, Ruxandra. M.
    Stathopoulos, N.
    Therien, S.
    Rathe, A.
    Dickinson, M.
    JOURNAL OF AIRCRAFT, 2006, 43 (05): : 1538 - 1542
  • [24] Unsteady aerodynamic force prediction on a square cylinder using κ-ε turbulence models
    Lee, S
    JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS, 1997, 67-8 : 79 - 90
  • [25] A note on the Galilean invariance of aerodynamic force theories in unsteady incompressible flows
    Gao, An-Kang
    Wu, Jiezhi
    ACTA MECHANICA SINICA, 2019, 35 (06) : 1150 - 1154
  • [26] STUDY ON UNSTEADY AERODYNAMIC FORCE OF TURBINE BLADE WITH DIFFERENT MASS FLOW
    Lan, Jibing
    Xie, Yonghui
    Zhang, Di
    PROCEEDINGS OF THE ASME POWER CONFERENCE 2008, 2008, : 341 - 347
  • [27] APPLICATION OF AEROSERVOELASTIC MODELING USING MINIMUM-STATE UNSTEADY AERODYNAMIC APPROXIMATIONS
    HOADLEY, ST
    KARPEL, M
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (06) : 1267 - 1276
  • [28] Unsteady aerodynamic force modeling via proper orthogonal Decomposition ROM
    Yao, Weigang
    Xu, Min
    Ye, Mao
    Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2010, 42 (04): : 637 - 644
  • [29] Improved method for creating time-domain unsteady aerodynamic models
    Botez, Ruxandra Mihaela
    Dinu, Alin Dorian
    Cotoi, Iulian
    Stathopoulos, Nicholas
    Therien, Sylvain
    Dickinson, Martin
    Rathe, Alexandre
    JOURNAL OF AEROSPACE ENGINEERING, 2007, 20 (03) : 204 - 208
  • [30] THEORY FOR AERODYNAMIC FORCE AND MOMENT IN VISCOUS FLOWS
    WU, JC
    AIAA JOURNAL, 1981, 19 (04) : 432 - 441