Thermo-electro-hydrodynamic instabilities in a dielectric liquid under microgravity |
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| Institution: | 1. School of Mechanical Engineering, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT, UK;2. Department of Mechanical Engineering, University of Anbar, Iraq;1. Biobehavioral Sciences Lab, Warfighter Performance Department, Naval Health Research Center, San Diego, CA, United States;2. Department of Exercise and Nutritional Sciences, San Diego State University, San Diego, CA, United States;3. Institute for Interdisciplinary Salivary Bioscience Research, Arizona State University, Tempe, AZ, United States;4. Naval Special Warfare Center, San Diego, CA, United States;1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;2. School of Civil Engineering, The University of Sydney, NSW 2006, Australia;1. Kyushu University, Department of Aeronautics & Astronautics, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan;2. Japan Aerospace Exploration Agency (JAXA), 7-44-1 Jindaiji Higashi-machi, Chofu-shi, Tokyo 182-8522, Japan |
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| Abstract: | Linear stability analysis of a dielectric fluid confined in a cylindrical annulus of infinite length is performed under microgravity conditions. A radial temperature gradient and a high alternating electric field imposed over the gap induce an effective gravity that can lead to a thermal convection even in the absence of the terrestrial gravity. The linearized governing equations are discretized using a spectral collocation method on Chebyshev polynomials to compute marginal stability curves and the critical parameters of instability. The critical parameters are independent of the Prandtl number, but they depend on the curvature of the system. The critical modes are non-axisymmetric and are made of stationary helices. |
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