A theoretical framework to model the dynamics of acoustically driven microbubble inside a rigid tube is presented. The proposed model is not a variant of the conventional Rayleigh–Plesset category of models. It is derived from the reduced Navier–Stokes equation and is coupled with the evolving flow field solution inside the tube by a similarity transformation approach. The results are computed, and compared with experiments available in literature, for the initial bubble radius of Ro = 1.5 μm and 2 μm for the tube diameter of D = 12 μm and 200 μm with the acoustic parameters as utilized in the experiments. Results compare quite well with the existing experimental data. When compared to our earlier basic model, better agreement on a larger tube diameter is obtained with the proposed coupled model. The model also predicts, accurately, bubble fragmentation in terms of acoustic and geometric parameters.
A Model for an Acoustically Driven Microbubble Inside a Rigid Tube
Division of Physical Sciences and Engineering,
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 14, 2014; final manuscript received August 14, 2014; published online September 10, 2014. Assoc. Editor: Daniel Maynes.
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Qamar, A., and Samtaney, R. (September 10, 2014). "A Model for an Acoustically Driven Microbubble Inside a Rigid Tube." ASME. J. Fluids Eng. February 2015; 137(2): 021301. https://doi.org/10.1115/1.4028337
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