Dynamic Mode Decomposition Analysis of Smooth and Riblet Surfaces at Mach 0.2
Keywords:
dynamic mode decomposition, riblet surfaces, reduce drag, direct numerical simulationAbstract
Using Dynamic Mode Decomposition (DMD) and Direct Numerical Simulations (DNS), this work evaluates the drag reduction efficiency of riblet surfaces against smooth surfaces at Mach 0.2. Inspired by shark skin, riblets are microstructural elements intended to lower viscous drag in turbulent flows. Using a non-dimensional groove width of s+ = 15, direct numerical simulations (DNS) were performed employing the LANS3D solver model to model the flow over both smooth and riblet surfaces at Reynolds numbers ranging from 6.5 × 105 to 8.3 × 105. Derived from DMD, coherent flow structures expose the interactions between riblet geometries and longitudinal vortices. Using riblets to modify near-wall turbulent structures lowers drag; DMD modes show different wall-normal velocity patterns than on smooth surfaces. This work clarifies the function of coherent structures and performs a thorough investigation of drag reduction, offering information for maximizing riblet designs in aircraft to improve fuel economy.
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Kim, Y., Lee, K., Cho, Y.-H., Guo, Z., Koo, J.-M. & Seok, C.-S., Fatigue safety evaluation of newly developed contact wire for eco-friendly high speed electric railway system considering wear, International Journal of Precision Engineering and Manufacturing-Green Technology, 3(4), pp. 353-358, 2016. (Journal)
Li, Z.-W., Yang, M.-Z., Huang, S. & Liang, X., A new method to measure the aerodynamic drag of high-speed trains passing through tunnels, Journal of Wind Engineering and Industrial Aerodynamics, 171, pp. 110-120, 2017. (Journal)
Guo, Z., Liu, T., Chen, Z., Liu, Z., Monzer, A. & Sheridan, J., Study of the flow around railway embankment of different heights with and without trains, Journal of Wind Engineering and Industrial Aerodynamics, 202, pp. 104203, 2020. (Journal)
Liu, T.-H., Wang, L., Chen, Z.-W., Gao, H.-R., Li, W.-H., Guo, Z.-J., Xia, Y.-T., Huo, X.-S. & Wang, Y.-W., Study on the pressure pipe length in train aerodynamic tests and its applications in crosswinds, Journal of Wind Engineering and Industrial Aerodynamics, 220, pp. 104880, 2022. (Journal)
Braun, R. D., Wright, H. S., Croom, M. A., Levine, J. S. & Spencer, D. A., Design of the ares mars airplane and mission architecture, Journal of Spacecraft and Rockets, 43(5), pp. 1026-1034, 2006. (Journal)
Mattingly, R. & May, L., Mars sample return as a campaign, 2011 Aerospace Conference, IEEE, pp. 1-13, 2011. (Conference Proceedings)
Bechert, D. & Reif, W., On the drag reduction of the shark skin, 23rd Aerospace Sciences Meeting, pp. 546, 1985. (Conference Proceedings)
Bechert, D. & Hage, W., Drag reduction with riblets in nature and engineering, WIT Transactions on State of the Art in Science and Engineering, 4, pp. 457-504, 2006. (Journal)
Fu, Y., Yuan, C. & Bai, X., Marine drag reduction of shark skin inspired riblet surfaces, Biosurface and Biotribology, 3(1), pp. 11-24, 2017. (Journal)
Walsh, M. J., Riblets as a viscous drag reduction technique, AIAA Journal, 21(4), pp. 485-486, 1983. (Journal)
Walsh, M. J., Riblets, Viscous Drag Reduction in Boundary Layers, pp. 203-261, 1990. (Book)
Kurita, M., Iijima, H., Koga, S., Nishizawa, A., Kwak, D., Iijima, Y., Takahashi, H., & Abe, H., Flight test for paint-riblet, AIAA Scitech 2020 Forum, Paper No. 2020-0560, 2020. (Conference Proceedings)
Walsh, M.J., Turbulent boundary layer drag reduction using riblets, AIAA Paper, No. 82-0169, 1982. (Conference Proceedings)
Walsh, M.J. and Lindemann, A.M., Optimization and application of riblets for turbulent drag reduction, AIAA 22nd Aerospace Sciences Meeting, AIAA Paper No. 84-0347, 1984. (Conference Proceedings)
Kaneko, K., Oyama, A., and Yakeno, A., Viscous drag reduction effect of riblet at cruising speed of transonic aircraft, AIAA AVIATION FORUM AND ASCEND 2024, pp. 3588, 2024. (Conference
Proceedings)
Fujii, K. & Obayashi, S., Navier-Stokes simulations of transonic flows over a practical wing configuration, AIAA Journal, 25(3), pp. 369-370, 1987. (Journal)
Lele, S. K., Compact finite difference schemes with spectral-like resolution, Journal of Computational Physics, 103(1), pp. 15-42, 1991. (Journal)
Gaitonde, D. V. & Visbal, M. R., Padé-type higher-order boundary filters for the Navier-Stokes equations, AIAA Journal, 38(11), pp. 2103-2112, 2000. (Journal)
Shu, C.-W. & Osher, S., Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics, 77(2), pp. 439-471, 1988. (Journal)
Kaneko, K., Oyama, A., Yakeno, A. & Hamada, S., Mach number effect on the drag reducing performance of the riblet in the transition and turbulent flow, in AIAA SCITECH 2024 Forum, pp. 0890, 2024. (Conference Proceedings)
Tu, J. H., Dynamic mode decomposition: Theory and applications, PhD dissertation, Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, 2013. (Thesis or Dissertation)
Rowley, C. W., Mezić, I., Bagheri, S., Schlatter, P. & Henningson, D. S., Spectral analysis of nonlinear flows, Journal of Fluid Mechanics, 641, pp. 115-127, 2009. (Journal)
Schmid, P. J., Li, L., Juniper, M. P. & Pust, O., Applications of the dynamic mode decomposition, Theoretical and Computational Fluid Dynamics, 25(1-4), pp. 249-259, 2011. (Journal)
Kutz, J. N., Brunton, S. L., Brunton, B. W. & Proctor, J. L., Dynamic mode decomposition: Data-driven modeling of complex systems, SIAM, 2016. (Book)
Li, C.Y., Chen, Z., Weerasuriya, A.U., Zhang, X., Lin, X., Zhou, L., Fu, Y. & Tse, T.K.T., Best practice guidelines for the dynamic mode decomposition from a wind engineering perspective, Journal of Wind Engineering and Industrial Aerodynamics, 241, pp. 105506, 2023. (Journal)
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