Fluid flow control with transformation media

Abstract

We introduce a new concept for the manipulation of fluid flow around three-dimensional bodies. Inspired by transformation optics, the concept is based on a mathematical idea of coordinate transformations and physically implemented with anisotropic porous media permeable to the flow of fluids. In two situations - for an impermeable object placed either in a free-flowing fluid or in a fluid-filled porous medium - we show that the object can be coated with an inhomogeneous, anisotropic permeable medium, such as to preserve the flow that would have existed in the absence of the object. The proposed fluid flow cloak eliminates downstream wake and compensates viscous drag, hinting us at the possibility of novel propulsion techniques.

4 pages, 7 figures

References in corpus (5)

• Broadband Acoustic Cloak for Ultrasound Waves
• Acoustic cloaking theory
• Cloaking of Matter Waves
• Achieving control of in-plane elastic waves
• Transformation Optics with Photonic Band Gap Media

Cited by in corpus (15)

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• Experimental demonstration of a multiphysics cloak: manipulating heat flux and electric current simultaneously
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• Employing pre-stress to generate finite cloaks for antiplane elastic waves
• Bluff body uses deep-reinforcement-learning trained active flow control to achieve hydrodynamic stealth
• Designing nonlinear thermal devices and metamaterials under the Fourier's law: A route to nonlinear thermotics
• A metamaterial-free fluid-flow cloak
• Flow stabilization with active hydrodynamic cloaks
• Active Cloaking in Stokes Flows via Reinforcement Learning
• An efficient plate heater with uniform surface temperature engineered with effective thermal materials
• Hide the interior region of core-shell nanoparticles with quantum invisible cloaks
• Metamaterials and Fluid Flows
• Experiments on transformation microfluidics: cloaking flow and transport without metamaterials
• Design Omnidirectional Wave Absorbers by Transformation Method