Abstract
In the previous two chapters (Chaps. 5 and 6), we confirm that the bubble motion is greatly influenced by imposing an external MF, which modifies the bubble shapes, the vortex structures, and also the rising paths. Meanwhile, the relations between the wake evolution and the path transition are more clear by investigating the transition process under the influence of the MF. However, the physical mechanics causing the path instability are still not so clear. In this chapter, we try to study a particular case of the vortex evolutions when the single bubble transits from zigzag to spiral.
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Batchelor GK (2000) An introduction to fluid dynamics. Cambridge University Press, Cambridge
Brücker C (1999) Structure and dynamics of the wake of bubbles and its relevance for bubble interaction. Phys Fluids 11(7):1781–1796
Cano-Lozano JC, Martinez-Bazan C, Magnaudet J et al (2016) Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability. Phys Rev Fluids 1(5):053604
De Vries AWG, Biesheuvel A, Van Wijngaarden L (2002) Notes on the path and wake of a gas bubble rising in pure water. Int J Multiph Flow 28(11):1823–1835
Ellingsen K, Risso F (2001) On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity. J Fluid Mech 440:235–268
Lunde K, Perkins RJ (1997) Observations on wakes behind spheroidal bubbles and particles. Vancouver, ASME fluids engineering division summer meeting, Canada, p 141
Lunde K, Perkins RJ (1998) Shape oscillations of rising bubbles. fascination of fluid dynamics. Springer, Dordrecht, pp 387–408
Magnaudet J, Mougin G (2007) Wake instability of a fixed spheroidal bubble. J Fluid Mech 572:311–337
Mougin G, Magnaudet J (2001) Path instability of a rising bubble. Phys Rev Lett 88(1):014502
Shew WL, Pinton JF (2006) Dynamical model of bubble path instability. Phys Rev Lett 97(14):144508
Shew WL, Poncet S, Pinton JF (2005) Path instability and wake of a rising bubble. preprint, ENS, Lyon
Tripathi MK, Sahu KC, Govindarajan R (2015) Dynamics of an initially spherical bubble rising in quiescent liquid. Nat Commun 6:6268
Veldhuis C, Biesheuvel A, Van Wijngaarden L (2008) Shape oscillations on bubbles rising in clean and in tap water. Phys Fluids 20(4):040705
Zenit R, Magnaudet J (2008) Path instability of rising spheroidal air bubbles: a shape-controlled process. Phys Fluids 20(6):061702
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Zhang, J. (2019). The Path Transition from Zigzag to Spiral During the Single Bubble Motion. In: The Developments and the Applications of the Numerical Algorithms in Simulating the Incompressible Magnetohydrodynamics with Complex Boundaries and Free Surfaces. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-6340-4_7
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DOI: https://doi.org/10.1007/978-981-10-6340-4_7
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