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Assembling hydrodynamic cloaks to conceal complex objects from drag
Institution:1. National Engineering Research Center of Electromagnetic Radiation Control Materials, State Key Laboratory of Electronic Thin Film and Integrated Devices, University of Electronic Science and Technology of China, Chengdu 610054, China;2. School of Physical Science and Technology, Southwest University, Chongqing 400715, China;1. School of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing 400067, China;2. Chongqing Engineering Laboratory for Detection, Control and Integrated System, Chongqing Technology and Business University, Chongqing 400067, China;3. Department of Electrical and Computer Engineering, National University of Singapore, Kent Ridge 117583, Republic of Singapore;4. National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing 400067, China;1. Institute of Engineering, Shinshu University, Nagano 380-8553, Japan;2. Center for Artificial Intelligence Research, University of Tsukuba, 1-1-1 Tennodai, Tsukuba 305-8573, Japan
Abstract:Transformation hydrodynamics and the corresponding metamaterials have been proposed as a means to exclude the drag force acting on an object. Here, we report a strategy to deploy the hydrodynamic cloaks in a more practical manner by assembling different-shaped cloaking parts. Our strategy is to first model a square-shaped cloak and a carpet cloak and then combine them to conceal a more complex-shaped space in the three-dimensional hydrodynamic flow. With the derivation of transformation hydrodynamics, the coordinate transformations for each hydrodynamic cloaking are demonstrated with the calculated viscosity tensors. The pressure and velocity fields of the square, triangular (carpet), and exemplary three-dimensional house-shaped cloaks are numerically simulated, thus showing a cloaking effect and reduced drag. This study suggests an efficient way of cloaking complex architectures from fluid-dynamic forces.
Keywords:Fluid control  Stokes flow  Metamaterials  Viscosity mapping  Numerical simulation
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