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

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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.

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Funding

This work is supported by the National Natural Science Foundation of China (Grant nos. 51775123 and 52075111) and the Fundamental Research Funds for the Central Universities (Grant no. 3072022JC0701).

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, China

    S. Tang, S. G. Liu, D. Zhao, L. Q. Dong, L. Chen & J. Cui

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  1. S. Tang
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  2. S. G. Liu
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  3. D. Zhao
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  4. L. Q. Dong
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Correspondence to S. Tang, S. G. Liu, D. Zhao, L. Q. Dong, L. Chen or J. Cui.

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Tang, S., Liu, S.G., Zhao, D. et al. Effect of the Skin Made of Micro Floating Raft Arrays on Weakly Nonlinear Stability in Boundary Layer Flow. Fluid Dyn 58, 1183–1198 (2023). https://doi.org/10.1134/S0015462823600797

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