Bubble velocities: further developments on the jump discontinuity |
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| Institution: | 1. Department of Chemical Engineering, CERSIM, Laval University, Quebec G1K 7P4, Canada;2. Department of Chemical Engineering, Tulane University, New Orleans, LA 70118-5698, USA;1. Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 19, 00185 Rome, Italy;2. Department of Physics, University of Rome “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Rome, Italy;3. Department of Physics & INFN, University of Rome “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Rome, Italy;1. School of Chemical Engineering and Technology, Xi’an Jiaotong University, No. 28 Xianning West Road, Xi’an 710049, PR China;2. State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, PR China;3. School of Chemical Engineering, The University of Queensland, St Lucia, QLD 4072, Australia |
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| Abstract: | The motion of a gas bubble in a non-Newtonian fluid has been further examined in order to determine the conditions for the possible existence of a discontinuity in the bubble velocity-bubble volume log–log plot. It has been proposed in the past that this phenomenon was the result of a sudden change in the hydrodynamics of the moving bubble, resulting in a transition from a Stroke to a Hadamard regime. Furthermore, this abrupt transition was only qualitatively attributed to the elasticity of the fluid. Using our data as well as those of Leal et al., we demonstrate here that the discontinuity results as a balance between elastic and Marangoni instabilities, providing another major difference between Newtonian and non-Newtonian hydrodynamics. |
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