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Dynamics and rheology of Janus drops in a steady shear flow
Institution:1. Department of Mechanical Engineering, ShahreKord University, ShahreKord, 88186- 34141, Iran;2. Department of Aerospace and Mechanical Engineering, Purdue University, West Lafayette, IN, USA;1. Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Erlangen Graduate School in Advanced Optical Technologies (SAOT), Paul-Gordan-Str. 6, 91052 Erlangen, Germany;2. Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Lehrstuhl für Technische Thermodynamik (LTT), Am Weichselgarten 8, 91058 Erlangen, Germany;3. Hopfenveredlung St. Johann GmbH, NATECO2, Auenstrasse 18-20, 85283 Wolnzach, Germany;1. Department of Mechanical Engineering, National University of Singapore, Singapore 117576, Singapore;2. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China;1. School of Hydraulic, Energy and Power Engineering, Yangzhou University, Yangzhou, Jiangsu 225127, PR China;2. Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing, Jiangsu 210096, PR China;3. State Key Laboratory of Bioelectronics, Southeast University, Nanjing, Jiangsu 210096, PR China;4. Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, PR China
Abstract:The behavior and rheology of a dispersion of Janus drops (or Janus emulsion) under a steady shear flow are explored in the infinite dilution limit. To achieve analytical progress, the Janus drops are assumed to consist of a pair of fluids bounded to hemispherical domains of equal radii. At ‘freely’ suspended conditions the Janus drops undergo periodic orbits in a shear flow that are intermediate to that of a solid sphere and a disk that depend on the viscosities of the internal fluids. Non-Newtonian behavior is found for this system on account of the anisotropic hydrodynamics of the Janus drops. The viscosity of the Janus emulsion that corresponds to the minimum energy of dissipation is analogous to that derived by Taylor (1932) for a dispersion of simple drops. It is also found that an external force can induce the Janus drops to adopt a preferential orientation in a shear flow. Interestingly, a neutrally buoyant Janus drop with a displaced center of gravity can migrate lateral to the undisturbed shear flow; it is inferred that this phenomenon can lead to spatial-dependent rheology in pressure-driven flows.
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