-
Hydrodynamic cloaks have attracted extensive attention because of their ability to significantly reduce the surface resistance of designated target. However, most of parameters of traditional hydrodynamic cloaks present inhomogeneous and anisotropy, which increases the challenge of manufacturing hydrodynamic cloaks for us. To overcome this limitation, equivalent medium theory and integral median theorem are used to homogenize the parameters of hydrodynamic cloaks. Numerical simulations verify that the simplified homogeneous hydrodynamic cloaks exhibit the equivalent cloaking effect as inhomogeneous hydrodynamic cloaks, which can be applied to different flow fields as well. This simplified method not only can simplify inhomogeneous hydrodynamic cloaks to homogeneous hydrodynamic cloaks, but also can be applied to other physical fields, such as optics, acoustics, electromagnetics, and thermodynamics among other areas for the homogenization of metamaterial design, providing a new method to relax the difficulty of metamaterial design. In addition, based on the applicability of homogeneous hydrodynamic cloaks to different flow fields, hydrodynamic camouflage devices are designed that can camouflage the flow fields generated by the original objects into fields caused by arbitrary objects, offering a scheme for achieving hydrodynamic camouflage. Finally, as Reynolds numbers increase, the cloaking and drag reduction performance of hydrodynamic cloaks are quantitatively compared and analyzed. The results show that hydrodynamic cloaks still exhibit high performance in cloaking and drag reduction in non-creeping flows.
-
Keywords:
- homogenized design /
- hydrodynamic cloaks /
- hydrodynamic camouflage /
- metamaterial
-
[1] Pendry J B, Schurig D, Smith D R 2006 Science 3121780
[2] Schurig D, Mock J J, Justice B J, Cummer J B, Starr A F, Smith D R 2006 Science 314977
[3] Liu R, Ji C, Mock J J, Chin J Y, Cui T J, Smith D R 2009 Science 323366
[4] Han T, Qiu C W, Tang X 2010 Opt. Lett. 352642
[5] Chen H, Chan C T 2007 Appl. Phys. Lett. 91183518
[6] Zhang S, Xia C, Fang N 2011 Phys. Rev. Lett. 106024301
[7] Greenleaf A, Kurylev Y, Lassas M 2012 Proc. Natl. Acad. Sci. U.S.A. 10910169
[8] Zigoneanu L, Popa B I, Cummer S A 2014 Nat. Mater. 13352
[9] Fan C Z, Gao Y, Huang J P 2008 Appl. Phys. Lett. 92251907
[10] Guenneau S, Amra C, Veynante D 2012 Opt. Express 208207
[11] Li Y, Shen X, Wu Z, Huang J P, Chen Y X, Ni Y S, Huang J P 2015 Phys. Rev. Lett. 115195503
[12] Shen X, Li Y, Jiang C, Huang J P 2016 Phys. Rev. Lett. 117055501
[13] Hu R, Zhou S, Li Y, Lei D Y, Luo X B, Qiu C W 2018 Adv. Mater. 301707237
[14] Wang B, Shih T M, Huang J P 2021 Appl. Therm. Eng. 190116726
[15] Huang J P 2020 ES Energy Environ. 71
[16] Xu L J, Huang J P 2020 Chinese Phys. Lett. 37080502
[17] Xu L J, Huang J P 2020 Chinese Phys. Lett. 37120501
[18] Yang S, Wang J, Dai G L, Yang F B, Huang J P 2021 Phys. Rep. 9081
[19] Xu L J, Yang S, Huang J P 2021 EPL 13320006
[20] Wang H, Yao N Z, Wang B, Shih T M, Wang X S 2022 Appl. Therm. Eng. 206118012
[21] Zhang S, Genov D A, Sun C, Zhang X 2008 Phys. Rev. Lett. 100123002
[22] Greenleaf A, Kurylev Y, Lassas M, Uhlmann G 2008 Phys. Rev. Lett. 101220404
[23] Bjckmann T, Thiel M, Kadic M, Schittny R, Wegener M 2014 Nat. Commun. 51
[24] Bjckmann T, Kadic M, Schittny R, Wegener M 2015 Proc. Natl. Acad. Sci. U.S.A. 1124930
[25] Urzhumov Y A, Smith D R 2011 Phys. Rev. Lett. 107074501
[26] Urzhumov Y A, Smith D R 2012 Phys. Rev. E 86056313
[27] Li C Y, Xu L, Zhu L L, Zou S Y, Liu Q H, Wang Z Y, Chen H Y 2018 Phys. Rev. Lett. 121104501
[28] Zou S Y, Xu Y D, Zatianina R, Li C Y, Liang X, Zhu L L, Zhang Y Q, Liu G H, Liu Q H, Chen H Y, Wang Z Y 2019 Phys. Rev. Lett. 123074501
[29] Tay F, Zhang Y, Xu H, Goh H, Luo Y, Zhang B L 2019 arXiv:1908.07169
[30] Park J, Youn J R, Song Y S 2019 Phys. Rev. Lett. 123074502
[31] Park J, Youn J R, Song Y S 2019 Phys. Rev. Appl. 12061002
[32] Park J, Youn J R, Song Y S 2021 Extreme Mech. Lett. 42101061
[33] Wang B, Shih T M, Xu L J, Huang J P 2021 Phys. Rev. Appl. 15034014
[34] Boyko E, Bacheva V, Eigenbrod M, Paratore F, D.Gat A, Hardt S, Bercovici M 2021 Phys. Rev. Lett. 126184502
[35] Hele-Shaw 1898 Nature 58520
[36] Park J, Song Y S 2020 J Fluids Struct 98103136
Metrics
- Abstract views: 1737
- PDF Downloads: 17
- Cited By: 0
下载:
