Nonlinear Analysis of Bubble Formation Dynamics in Shear-Thinning Fluids

Abstract:

The dynamics of bubble generating in carboxymethylcellulose (CMC) aqueous solution were studied using chaos method. The results show that for low position (P) and gas flowrate (Q_g), the characteristic frequency of axial and radial velocities are both consistent to bubble periodic shear frequency; but for high position, power spectrums are of broad coverage within low frequency range. The magnitudes of radial characteristic peaks increase with gas flowrate. Phase portraits of reconstructed phase space of velocity time series display certain features of chaotic attractor. For low P and Q_g, phase portrait takes on uniform elliptical shape due to liquid periodic motion caused by bubble periodic rising. Whereas for high P and Q_g, the liquid turbulence is reinforced by bubble increasing velocity and large-scale turbulent intensity around bubble increases, consequently, leading to significant compression of phase portrait.

• Periodical: Advanced Materials Research (Volumes 881-883)
• Pages: 717-720
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.881-883.717
• Online since: January 2014
• Authors: Wen Yuan Fan*, Xiao Hong Yin
• Keywords: Bubble Formation, Chaos, Laser Doppler Anemometry, Non-Linear Analysis, Shear-Thinning

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