Summary
The motion of a deformed spherical body in a fluid medium is significantly different from the motion of an undeformed spherical body in the same medium. It is shown in this work that a bubble moving in a viscoelastic fluid takes the shaper=a+U 0η0/σa(λ 1−λ 2)(180R 3+240R 2+816R+672)P 2(cosθ)/960(1+R)3 and so one must expect the dynamics of a bubble moving in a non-Newtonian fluid to be significantly different from that of a bubble moving in a purely viscous fluid.
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Ajayi, O.O. Slow motion of a bubble in a viscoelastic fluid. J Eng Math 9, 273–280 (1975). https://doi.org/10.1007/BF01540664
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DOI: https://doi.org/10.1007/BF01540664