Abstract
A description is given of recent progress in the understanding of mechanisms in fluid-body interactions where the motion of a body and the motion of the surrounding fluid affect each other substantially. The mathematical modelling of such unsteady interactions is for internal channel and external near-wall flows in two spatial dimensions and time. The emphasis throughout is on analytical developments with accompanying reduced computation. The successive aspects studied here are interactions and impacts in inviscid flows, skimming and sinking, the lift-off, fly-away or bouncing of a body, and viscous effects including especially the interplay between viscous and inviscid contributions. The main findings are concerned with physical and mechanical insights into impact times, lift-off criteria, the borders between impact and fly-away, the principal parameters and their ranges and the influences from body shape and mass.
摘要
本文是流体- 固体相互作用机制方面的最新进展综述, 主要研究固体物体自身的运动与其周围流体运动之间的相互影响. 非 稳态相互作用的数学模型是对两个空间维度和时间尺度的内部通道和外部近壁流的描述. 本文重点描述伴随计算量减少的分析发展 过程. 文章讨论无黏性流中掠过和下沉、物体的起飞、飞离或弹跳, 以及黏性效应, 特别是黏性和无黏性之间的相互作用和影响. 主要 研究结果涉及撞击时间、起飞条件、撞击和飞离之间的边界、主要参数及其范围以及物体形状和质量对物理及力学机制的影响.
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References
F. T. Smith, and A. S. Ellis, On interaction between falling bodies and the surrounding fluid, Mathematika 56, 140 (2010).
P. D. Hicks, and F. T. Smith, Skimming impacts and rebounds on shallow liquid layers, Proc. R. Soc. A 467, 653 (2011).
F. T. Smith, and P. L. Wilson, Fluid-body interactions: clashing, skimming, bouncing, Phil. Trans. R. Soc. A 369, 3007 (2011).
F. T. Smith, and P. L. Wilson, Body-rock or lift-off in flow, J. Fluid Mech. 735, 91 (2013), arXiv: 1301.2365.
K. Liu, and F. T. Smith, Collisions, rebounds and skimming, Phil. Trans. R. Soc. A 372, 20130351 (2014).
F. T. Smith, and E. R. Johnson, Movement of a finite body in channel flow, Proc. R. Soc. A 472, 20160164 (2016).
F. T. Smith, Free motion of a body in a boundary layer or channel flow, J. Fluid Mech. 813, 279 (2017).
K. Liu, and F. T. Smith, A smoothly curved body skimming on shallow water, J. Eng. Math. 128, 17 (2021).
F. T. Smith, and K. Liu, Flooding and sinking of an originally skimming body, J. Eng. Math. 107, 37 (2017).
F. Smith, S. Balta, K. Liu, and E. R. Johnson, On dynamic interactions between body motion and fluid motion, in: Mathematics Applied to Engineering, Modelling, and Social Issues (Springer, Cham, 2019), pp. 45–89.
S. Balta, On fluid-body and fluid-network interactions, Dissertation for Doctoral Degree (University College London, London, 2017).
R. A. Palmer, I. Roberts, C. Hatch, R. Moser, and F. Smith, Non-spherical particle trajectory modelling for ice crystal conditions, SAE Technical Paper, 2019.
F. Smith, and R. Palmer, A freely moving body in a boundary layer: Nonlinear separated-flow effects, Appl. Ocean Res. 85, 107 (2019).
R. A. Palmer, and F. T. Smith, When a small thin two-dimensional body enters a viscous wall layer, Eur. J. Appl. Math. 31, 1002 (2020).
R. A. Palmer, and F. T. Smith, A body in nonlinear near-wall shear flow: Numerical results for a flat plate, J. Fluid Mech. 915, A35 (2021).
R. A. Palmer, and F. T. Smith, A body in nonlinear near-wall shear flow: Impacts, analysis and comparisons, J. Fluid Mech. 904, A32 (2020).
R. A. Palmer, and F. T. Smith, Skimming impacts and rebounds of smoothly shaped bodies on shallow liquid layers, J. Eng. Math. 124, 41 (2020).
R. A. Palmer, and F. T. Smith, Skimming impact of a thin heavy body on a shallow liquid layer, J. Fluid Mech. 940, A6 (2022).
R. A. Palmer, and F. T. Smith, The role of body shape and mass in skimming on water, Proc. R. Soc. A. 479, 20220311 (2023).
E. M. Jolley, R. A. Palmer, and F. T. Smith, Particle movement in a boundary layer, J. Eng. Math. 128, 6 (2021).
E. M. Jolley, and F. T. Smith, A heavy body translating in a boundary layer: ‘Crash’, ‘fly away’ and ‘bouncing’ responses, J. Fluid Mech. 936, A37 (2022).
S. Balta, and F. T. Smith, Fluid flow lifting a body from a solid surface, Proc. R. Soc. A 474, 20180286 (2018).
F. T. Smith, and K. Liu, Three-dimensional evolution of body and fluid motion near a wall, Theor. Comput. Fluid Dyn. 36, 969 (2022).
G. Hall, On the mechanics of transition produced by particles passing through an initially laminar boundary layer and the estimated effect on the lfc performance of the x-21 aircraft, Technical Report (NASA, 1964).
S. Einav, and S. L. Lee, Particles migration in laminar boundary layer flow, Int. J. Multiphase Flow 1, 73 (1973).
H. Petrie, Morris, A. Bajwa, and D. Vincent, Transition induced by fixed and freely convecting spherical particles in laminar boundary layers, Technical Report (Pennsylvania State Univ University Park Applied Research Lab, 1993).
J. Wang, and E. K. Levy, Particle behavior in the turbulent boundary layer of a dilute gas-particle flow past a flat plate, Exp. Thermal Fluid Sci. 30, 473 (2006).
C. Schmidt, and T. Young, in Impact of freely suspended particles on laminar boundary layers: Proceedings of 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition, Orlando, 2009.
M. Dehghan, and H. Basirat Tabrizi, Effects of coupling on turbulent gas-particle boundary layer flows at borderline volume fractions using kinetic theory, J. Heat Mass Transf. Res. 1, 1 (2014).
L. M. Portela, P. Cota, and R. V. A. Oliemans, Numerical study of the near-wall behaviour of particles in turbulent pipe flows, Powder Tech. 125, 149 (2002).
V. Loisel, M. Abbas, O. Masbernat, and E. Climent, The effect of neutrally buoyant finite-size particles on channel flows in the laminar-turbulent transition regime, Phys. Fluids 25, 123304 (2013).
Q. Liu, S. Yazar, and F. Smith, On interaction between freely moving bodies and fluid in a channel flow, Theor. Appl. Mech. Lett. 13, 100413 (2023).
D. W. K. Sin, Fluid-Body Interactions, Dissertation for Doctoral Degree (University College London, London, 2017).
F. T. Smith, and P. Servini, Channel Flow Past A Near-Wall Body, Q. J. Mech. Appl. Math. 72, 359 (2019).
Acknowledgements
We acknowledge gratefully helpful discussions with colleagues Andrew Ellis, Samire Yazar, Qingsong Liu, T D Dang, Phil Wilson, Kevin Liu, Ted Johnson, Robert Bowles, Sergei Timoshin and with staff at Aerotex UK, namely Colin Hatch, Ian Roberts, Richard Moser and Roger Gent. Support from the Engineering and Physical Sciences Research Council (Grants Nos. EP/R511638/1, GR/T11364/01, EP/G501831/1, EP/H501665/1, and EP/K032208/1), University College London (two IAA awards) and Aerotex UK is also acknowledged with gratitude. Thanks are due to the Beijing International Center for Theoretical and Applied Mechanics for their interest and invitation concerning this article.
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Frank T Smith contributed to conceptualization, formal analysis, funding acquisition, methodology, supervision, validation, writing original draft, and writing review & editing. Ryan A Palmer and Ellen M Jolley contributed to formal analysis, methodology, validation, visualization, writing original draft, and writing review & editing.
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Smith, F.T., Jolley, E.M. & Palmer, R.A. On modelling fluid/body interactions, impacts and lift-offs. Acta Mech. Sin. 39, 323019 (2023). https://doi.org/10.1007/s10409-023-23019-x
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DOI: https://doi.org/10.1007/s10409-023-23019-x