Skip to main content
Erschienen in: Fluid Dynamics 6/2023

19.12.2023

Effect of the Skin Made of Micro Floating Raft Arrays on Weakly Nonlinear Stability in Boundary Layer Flow

verfasst von: S. Tang, S. G. Liu, D. Zhao, L. Q. Dong, L. Chen, J. Cui

Erschienen in: Fluid Dynamics | Ausgabe 6/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The skin made of micro floating raft arrays is a novel method in drag reduction engineering, the study of nonlinear boundary layer stability of flow over the skin is necessary. The weakly nonlinear stability theory is applied to flow over the skin. The weakly nonlinear stability problem of flow over the skin is solved for the first time. The weakly nonlinear flow stability characteristics of skin are analyzed. The results show that increase in the stiffness and damping ratios intensifies the distorted velocity of the Tollmien–Schlichting waves (TSW) but decrease the distorted velocity of travelling-wave flutter (TWF). Reducing the interval and the middle mass of the micro floating raft element can lead to a similar influence on the distorted velocity. The nonlinearity does not change the objective law of the effect of skin’s parameters on stability in the boundary layer. The skin can effectively improve the weakly nonlinear stability of the Tollmien–Schlichting waves: the skin with appropriate parameters lightens the velocity distortedness and reduces the perturbation nonlinear growth rate. The better control ability of skin on nonlinear flow stability also proves the potential in drag reduction.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Li, L.C., Liu, B., Hao, H.L., et al., Investigation of the drag reduction performance of bionic flexible coating, Phys. Fluids, 2020, vol. 32, p. 084103. Li, L.C., Liu, B., Hao, H.L., et al., Investigation of the drag reduction performance of bionic flexible coating, Phys. Fluids, 2020, vol. 32, p. 084103.
2.
Zurück zum Zitat Zhou, H.G., Zhu, Y.S., Tian, G.Z., et al., Experimental investigations of the turbulent boundary layer for biomimetic surface with spine-covered protrusion inspired by pufferfish skin, Arab. J. Sci. Eng., 2021,vol. 46, pp. 2865–2875.CrossRef Zhou, H.G., Zhu, Y.S., Tian, G.Z., et al., Experimental investigations of the turbulent boundary layer for biomimetic surface with spine-covered protrusion inspired by pufferfish skin, Arab. J. Sci. Eng., 2021,vol. 46, pp. 2865–2875.CrossRef
3.
Zurück zum Zitat Zhao, M.H., Yi, S.H., Mi, Q., Hu, Y.F., and Ding, H.L., Skin friction reduction of hypersonic body by supersonic layer, Fluid. Dyn., 2022, vol. 57, no. 5, pp. 686–696.ADSCrossRef Zhao, M.H., Yi, S.H., Mi, Q., Hu, Y.F., and Ding, H.L., Skin friction reduction of hypersonic body by supersonic layer, Fluid. Dyn., 2022, vol. 57, no. 5, pp. 686–696.ADSCrossRef
4.
Zurück zum Zitat Kramer, M.O., Boundary layer stabilization by distributed damping, Nav. Eng. J., 1962, vol. 74 p, pp. 341–348. Kramer, M.O., Boundary layer stabilization by distributed damping, Nav. Eng. J., 1962, vol. 74 p, pp. 341–348.
5.
Zurück zum Zitat Benjamin, T.B., The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows, J. Fluid. Mech., 1963, vol. 16, pp. 436–450.ADSCrossRef Benjamin, T.B., The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows, J. Fluid. Mech., 1963, vol. 16, pp. 436–450.ADSCrossRef
6.
Zurück zum Zitat Landahl, M.T., On the stability of a laminar incompressible boundary layer over a flexible surface, J. Fluid. Mech., 1962, vol. 13, pp. 609–632.ADSCrossRef Landahl, M.T., On the stability of a laminar incompressible boundary layer over a flexible surface, J. Fluid. Mech., 1962, vol. 13, pp. 609–632.ADSCrossRef
7.
Zurück zum Zitat Carpenter, P.W. and Garrad, A.D., The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien–Schlichting instabilities, J. Fluid. Mech., 1985, vol. 155, pp. 465–510.ADSCrossRef Carpenter, P.W. and Garrad, A.D., The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien–Schlichting instabilities, J. Fluid. Mech., 1985, vol. 155, pp. 465–510.ADSCrossRef
8.
Zurück zum Zitat Carpenter, P.W. and Garrad, A.D., The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities, J. Fluid. Mech., 1986, vol. 170, pp. 199–232.ADSCrossRef Carpenter, P.W. and Garrad, A.D., The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities, J. Fluid. Mech., 1986, vol. 170, pp. 199–232.ADSCrossRef
9.
Zurück zum Zitat Yeo, K.S., Khoo, B.C., and Zhao, H.Z., The absolute instability of boundary-layer flow over viscoelastic walls, Theor. Comp. Fluid. Dyn., 1996, vol. 8, pp. 237–252.CrossRef Yeo, K.S., Khoo, B.C., and Zhao, H.Z., The absolute instability of boundary-layer flow over viscoelastic walls, Theor. Comp. Fluid. Dyn., 1996, vol. 8, pp. 237–252.CrossRef
10.
Zurück zum Zitat Yeo, K.S., The stability of boundary-layer flow over single-and multi-layer viscoelastic walls, J. Fluid. Mech., 1988, vol. 196, pp. 359–408.ADSMathSciNetCrossRef Yeo, K.S., The stability of boundary-layer flow over single-and multi-layer viscoelastic walls, J. Fluid. Mech., 1988, vol. 196, pp. 359–408.ADSMathSciNetCrossRef
11.
Zurück zum Zitat Yeo, K.S., Khoo, B.C., and Zhao, H.Z., The convective and absolute instability of fluid flow over viscoelastic compliant layers, J. Sound. Vib., 1999, vol. 223, pp. 379–398.ADSCrossRef Yeo, K.S., Khoo, B.C., and Zhao, H.Z., The convective and absolute instability of fluid flow over viscoelastic compliant layers, J. Sound. Vib., 1999, vol. 223, pp. 379–398.ADSCrossRef
12.
Zurück zum Zitat Carpenter, P.W. and Morris, P.J., The effect of anisotropic wall compliance on boundary-layer stability and transition, J. Fluid. Mech., 1990, vol. 218, pp. 171–223.ADSCrossRef Carpenter, P.W. and Morris, P.J., The effect of anisotropic wall compliance on boundary-layer stability and transition, J. Fluid. Mech., 1990, vol. 218, pp. 171–223.ADSCrossRef
13.
Zurück zum Zitat Grosskreutz, R., An attempt to control boundary-layer turbulence with nonisotropic compliant walls, Univ. Sci. J. (Dar es Salaam)., 1975, vol. 1, pp. 67–73. Grosskreutz, R., An attempt to control boundary-layer turbulence with nonisotropic compliant walls, Univ. Sci. J. (Dar es Salaam)., 1975, vol. 1, pp. 67–73.
14.
Zurück zum Zitat Zhao, D., Cui, J., Dong, L.Q., et al., Drag reduction characteristics of the skin made of micro floating raft arrays based on immersed boundary method, Mech. Based. Des. Struc., 2023, vol. 51, no. 9. Zhao, D., Cui, J., Dong, L.Q., et al., Drag reduction characteristics of the skin made of micro floating raft arrays based on immersed boundary method, Mech. Based. Des. Struc., 2023, vol. 51, no. 9.
15.
Zurück zum Zitat Tang, S., Liu, S.G., Zhao, D., et al., A novel skin made of micro floating raft arrays to control the boundary-layer flow stability, J. Braz. Soc. Mech. Sci., 2022, vol. 44, no. 9, p. 410.CrossRef Tang, S., Liu, S.G., Zhao, D., et al., A novel skin made of micro floating raft arrays to control the boundary-layer flow stability, J. Braz. Soc. Mech. Sci., 2022, vol. 44, no. 9, p. 410.CrossRef
16.
Zurück zum Zitat Cui, J., Zhao, D., Liu, S.G., et al., Stability of boundary-layer flow over a skin made of porous compliant wall and micro floating raft arrays, Ships Offshore Struct., 2022, vol. 18, no. 1, pp. 130–141.CrossRef Cui, J., Zhao, D., Liu, S.G., et al., Stability of boundary-layer flow over a skin made of porous compliant wall and micro floating raft arrays, Ships Offshore Struct., 2022, vol. 18, no. 1, pp. 130–141.CrossRef
17.
Zurück zum Zitat Ustinov, M.V., Laminar-turbulent transition in boundary layers (review). Part 1: main types of laminar-turbulent transition in a swept-wing boundary layer, TsAGI. Sci. J., 2013, vol. 44, no. 1, pp. 1–63. Ustinov, M.V., Laminar-turbulent transition in boundary layers (review). Part 1: main types of laminar-turbulent transition in a swept-wing boundary layer, TsAGI. Sci. J., 2013, vol. 44, no. 1, pp. 1–63.
18.
Zurück zum Zitat Ustinov, M.V., Laminar-turbulent transition in boundary layers (review). Part 2: transition prediction and methods of boundary-layer laminarization, TsAGI. Sci. J., 2014, vol. 45, no. 8, pp. 851–887. Ustinov, M.V., Laminar-turbulent transition in boundary layers (review). Part 2: transition prediction and methods of boundary-layer laminarization, TsAGI. Sci. J., 2014, vol. 45, no. 8, pp. 851–887.
19.
Zurück zum Zitat Zharov, V.A., Lipatov, I.I., and Selim, R.S., A waveguide model of the developed turbulent boundary layer, Comp. Math. Math. Phys., 2023, vol. 63, no. 5, pp. 868–880.MathSciNetCrossRef Zharov, V.A., Lipatov, I.I., and Selim, R.S., A waveguide model of the developed turbulent boundary layer, Comp. Math. Math. Phys., 2023, vol. 63, no. 5, pp. 868–880.MathSciNetCrossRef
20.
Zurück zum Zitat Zharov, V.A. and Selim, R.S., Heat transfer in the boundary layer in anincompressible fluid in terms of waveguideturbulence model, J. Phys.: Conf. Ser., 2019, vol. 1309, p. 012017. Zharov, V.A. and Selim, R.S., Heat transfer in the boundary layer in anincompressible fluid in terms of waveguideturbulence model, J. Phys.: Conf. Ser., 2019, vol. 1309, p. 012017.
21.
Zurück zum Zitat Musker, A.J., Explicit expression for the smooth wall velocity distribution in a turbulent boundary layer, AIAA. J., 1979, vol. 17, no. 6, pp. 655–657.ADSCrossRef Musker, A.J., Explicit expression for the smooth wall velocity distribution in a turbulent boundary layer, AIAA. J., 1979, vol. 17, no. 6, pp. 655–657.ADSCrossRef
22.
Zurück zum Zitat Zhao, H.Z., A Theoretical mode for the instability of turbulent boundary layer over compliant surface, Acta. Mech. Sin., 2001, vol. 17, no. 2, pp. 133–141.ADSCrossRef Zhao, H.Z., A Theoretical mode for the instability of turbulent boundary layer over compliant surface, Acta. Mech. Sin., 2001, vol. 17, no. 2, pp. 133–141.ADSCrossRef
23.
Zurück zum Zitat Zhao, H.Z., Influence of compliant wall on velocity profiledeformation in a turbulent boundary layer, J. Hydrodyn., 2002, vol. 17, no. 4, pp. 391–399. Zhao, H.Z., Influence of compliant wall on velocity profiledeformation in a turbulent boundary layer, J. Hydrodyn., 2002, vol. 17, no. 4, pp. 391–399.
24.
Zurück zum Zitat Landau, L.D., On the problem of turbulence, C. R. Acad. Sci. URSS, 1944, vol. 44, p. 311.MathSciNet Landau, L.D., On the problem of turbulence, C. R. Acad. Sci. URSS, 1944, vol. 44, p. 311.MathSciNet
25.
26.
Zurück zum Zitat Stuart, J.T., On the nonlinear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behavior in plane Poiseuille flow, J. Fluid. Mech., 1960, vol. 9, pp. 353–370.ADSMathSciNetCrossRef Stuart, J.T., On the nonlinear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behavior in plane Poiseuille flow, J. Fluid. Mech., 1960, vol. 9, pp. 353–370.ADSMathSciNetCrossRef
27.
Zurück zum Zitat Stuart, J.T., Nonlinear stability theory, Annu. Rev. Fluid. Mech., 1971, vol. 3, pp. 347–370.ADSCrossRef Stuart, J.T., Nonlinear stability theory, Annu. Rev. Fluid. Mech., 1971, vol. 3, pp. 347–370.ADSCrossRef
28.
Zurück zum Zitat Brandt, L., Henningson, D.S., and Pinziani, D., Weakly nonlinear analysis of boundary layer receptivity to free stream disturbances, Phys. Fluids, 2002, vol. 14, pp. 1426–1441.ADSMathSciNetCrossRef Brandt, L., Henningson, D.S., and Pinziani, D., Weakly nonlinear analysis of boundary layer receptivity to free stream disturbances, Phys. Fluids, 2002, vol. 14, pp. 1426–1441.ADSMathSciNetCrossRef
29.
Zurück zum Zitat Sen, P. and Vashist, T., On the nonlinear stability of boundary-layer flow over a flat plate, Proc. R. Soc. London A: Math. Phys. Sci., 1989, vol. 424, no. 1866, pp. 81–92. Sen, P. and Vashist, T., On the nonlinear stability of boundary-layer flow over a flat plate, Proc. R. Soc. London A: Math. Phys. Sci., 1989, vol. 424, no. 1866, pp. 81–92.
30.
Zurück zum Zitat Xie, M.L., Chan, T.L., Zhang, Y.D., et al., Numerical analysis of nonlinear stability of two-phase flow in the Blasius boundary layer, Int. J. Nonlin. Sci. Num., 2008, vol. 9, no. 4, pp. 423–434.CrossRef Xie, M.L., Chan, T.L., Zhang, Y.D., et al., Numerical analysis of nonlinear stability of two-phase flow in the Blasius boundary layer, Int. J. Nonlin. Sci. Num., 2008, vol. 9, no. 4, pp. 423–434.CrossRef
31.
Zurück zum Zitat Xie, M.L., Lin, J.Z., and Zhou, H.C., The effect of non-linear interaction between gas and particle velocities on the hydrodynamic stability in the Blasius boundary layer, Int. J. Non-lin. Mech., 2009, vol. 44, pp. 106–114.CrossRef Xie, M.L., Lin, J.Z., and Zhou, H.C., The effect of non-linear interaction between gas and particle velocities on the hydrodynamic stability in the Blasius boundary layer, Int. J. Non-lin. Mech., 2009, vol. 44, pp. 106–114.CrossRef
32.
Zurück zum Zitat Carpenter, P.W., Davies, C., and Lucey, A.D., Hydrodynamics and compliantwalls: does the dolphin have a secret?, Curr. Sci. India, 2000, vol. 79, no. 6, pp. 758–765. Carpenter, P.W., Davies, C., and Lucey, A.D., Hydrodynamics and compliantwalls: does the dolphin have a secret?, Curr. Sci. India, 2000, vol. 79, no. 6, pp. 758–765.
33.
Zurück zum Zitat Rotenberry, J.M. and Saffman, P.G., Effect of compliant boundaries on weakly nonlinear shear waves in channel flow, Siam. J. Appl. Math., 1990, vol. 50, no. 2, pp. 361–394.ADSMathSciNetCrossRef Rotenberry, J.M. and Saffman, P.G., Effect of compliant boundaries on weakly nonlinear shear waves in channel flow, Siam. J. Appl. Math., 1990, vol. 50, no. 2, pp. 361–394.ADSMathSciNetCrossRef
34.
Zurück zum Zitat Thomas, M.D., The nonlinear stability of flows over compliant walls, J. Fluid. Mech., 1992, vol. 239, pp. 657–670.ADSCrossRef Thomas, M.D., The nonlinear stability of flows over compliant walls, J. Fluid. Mech., 1992, vol. 239, pp. 657–670.ADSCrossRef
Metadaten
Titel
Effect of the Skin Made of Micro Floating Raft Arrays on Weakly Nonlinear Stability in Boundary Layer Flow
verfasst von
S. Tang
S. G. Liu
D. Zhao
L. Q. Dong
L. Chen
J. Cui
Publikationsdatum
19.12.2023
Verlag
Pleiades Publishing
Erschienen in
Fluid Dynamics / Ausgabe 6/2023
Print ISSN: 0015-4628
Elektronische ISSN: 1573-8507
DOI
https://doi.org/10.1134/S0015462823600797

Weitere Artikel der Ausgabe 6/2023

Fluid Dynamics 6/2023 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.