Affiliation:
1. Department of Mechanical and Aerospace Engineering, The University of Dayton, Dayton, OH 45469
2. Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109
Abstract
Full numerical simulations of two- and three-dimensional bubbles in a shear flow, by a finite difference front tracking method, are presented. The effects of inertial, viscous, gravitational, and surface forces on the lift of a deformable bubble rising due to buoyancy in a vertical shear flow, are examined. Bubbles with a large surface tension coefficient migrate toward the downward moving fluid, as predicted analytically for a cylinder or a sphere in a shear flow. Bubbles with smaller surface tension deform, and generally migrate in the opposite direction. The combined effects of the shear flow and the buoyancy deform the bubble in such a way that the circulation around the deformed bubbles is opposite to that of undeformed bubbles.
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127 articles.
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