Analysis of Pseudo-Turbulence Flow Induced by Bubble Periodic Formation in Non-Newtonian Fluids

Document Type : Research Article

Authors

School of Chemistry and Chemical Engineering, Tianjin University of Technology, No391 Binshui West Road, Xiqing District, Tianjin 300384, P.R. CHINA

Abstract

Laser Doppler Velocimetry (LDV) has been employed to determine pseudo-turbulence characteristics of the flow field around bubble train forming in non-Newtonian caboxymethylcellulose (CMC) aqueous solution at low gas flow rate condition. The Reynolds stress and turbulent intensity of the liquid were investigated by means of Reynolds time-averaged method. The experimental results show that axial Reynolds stress rises greatly and then fluctuates slightly with the vertical height, whereas displays symmetrical Gaussian distribution in the horizontal direction; Radial Reynolds stress changes nonobviously in the vertical direction, but increases followed by a decrease in the horizontal direction. The axial turbulent intensity begins to wave to some degree with the height for near vertical axis passing through orifice center, but maintains constant within bubble channel in the horizontal direction; Radial turbulent intensity gets down with the vertical height, compared with the opposite trend of its variation with the horizontal distance.

Keywords

Main Subjects


[2] Rouhi A.R., Fatehifar E., Khazini L., Application of New Inflection Point Method for Hydrodynamics Study in Slurry Bubble Column Reactors, Iran. J. Chem. Chem. Eng. (IJCCE), 32(2): 81-92 (2013).
[4] Duineveld P.C., Rise Velocity and Shape of Bubbles in Pure Water at High Reynolds Number, J. Fluid Mech., 292(1): 325-332 (1995).
[5] Deen N., Van Sint Annaland M., Kuipers J., Multi-scale Modeling of Dispersed Gas-liquid Two-phase Flow, Chem. Eng. Sci., 59(8-9): 1853-1861 (2004).
[6] Kulkarni A.A., Joshi J.B., Bubble Formation and Bubble Rise Velocity in Gas-liquid Systems: A Review, Ind. Eng. Chem. Res., 44(16): 5873-5931 (2005).
[7] Räbiger N., Vogelpohl A., “Encyclopedia of Fluid Mechanics”, Gulf Pub. Co., Houston (1986).
[8] Acharya A., Mashelkar R.A., Ulbrecht J.J., Bubble Formation in Non-Newtonian Liquids, Ind. Eng. Chem. Fundamen., 17(3): 230-232 (1978).
[9] Acharya A., Ulbrecht J.J., Note on the Influence of Viscoelasticity on the Coalescence Rate of Bubbles and Drops, AIChE J., 24(2): 348-351 (1978).
[10] Terasaka K., Tsuge H., Bubble Formation at a Single Orifice in Non-Newtonian Liquids, Chem. Eng. Sci., 46(1): 85-93 (1991).
[11] Terasaka K., Tsuge H., Bubble Formation at Orifice in Viscoelastic Liquids, AIChE J., 43(11): 2903-2910 (1997).
[12] Terasaka K., Tsuge H., Bubble Formation at a Nozzle Submerged in Viscous Liquids Having Yield Stress, Chem. Eng. Sci., 56(10): 3237-3245 (2001).
[13] Li H.Z., Bubbles in Non-Newtonian Fluid: Formation, Interactions and Coalescence, Chem. Eng. Sci., 54(13-14): 2247-2254 (1999).
[14] Li H.Z., Mouline Y., Midoux N., Modeling the Bubble Formation Dynamics in Non-Newtonian Fluids, Chem. Eng. Sci., 57(3): 339-346 (2002).
[15] Favelukis M., Albalak R.J., Bubble Growth in Viscous Newtonian and Non-Newtonian Liquids, Chem. Eng. J. Biochem. Eng. J., 63(3): 149-155 (1996).
[16] Burman J.E., Jameson G.J., Growth of Spherical Gas Bubbles by Solute Diffusion in Non-Newtonian (Power law) Liquids, Int. J. Heat Mass Transfer, 21(2): 127-136 (1978).
[17] Martín M., Montes F.J., Galán M.A., Numerical Calculation of Shapes and Detachment Times of Bubbles Generated from a Sieve Plate, Chem. Eng. Sci., 61(2): 363-369 (2006).
[18] Martín M., Montes F.J., Galán M.A., On the Influence of the Liquid Physical Properties on Bubble Volumes and Generation Times, Chem. Eng. Sci., 61(16): 5196-5203 (2006).
[19] Ma Y.G. Fan W.Y., Jiang S.K., Zhu C.Y., Li H.Z., Modified Model of Bubble Formation in Non-Newtonian Fluids, Trans. Tianjin Univ., 15(1): 56-60 (2009).
[20] Vélez-Cordero J.R., Zenit R., Bubble Cluster Formation in Shear-thinning Inelastic Bubbly Columns, J. Non-Newtonian Fluid Mech., 166(1-2): 32-41 (2011).
[21] Hassager O., Negative Wake behind Bubbles in Non-Newtonian Liquids, Nature, 279: 402-403 (1979).
[22] Bisgaard C., Hassager O., An Experimental Investigation of Velocity Fields around Spheres and Bubbles Moving in Non-Newtonian Liquid, Rheol. Acta, 21(4-5): 537-548 (1982).
[24] Frank X., Li H.Z., Complex Flow around a Bubble Rising in a Non-Newtonian Fluid, Phys. Rev. E, 71(3): 036309 (2005).
[26] Sousa R.G., Pinto A.M.F.R., Campos J.B.L.M., Interaction Between Taylor Bubbles Rising in Stagnant Non-Newtonian Fluids, Int. J. Multiphase Flow, 33(9): 970-986 (2007).
[27] Lin T.J., Lin G.M., Mechanisms of In-line Coalescence of Two-unequal Bubbles in a Non-Newtonian Fluid, Chem. Eng. J., 155(3): 750-756 (2009).
[28] Fan W.Y., Ma Y.G., Li X.L., Li H.Z., Study on the Flow Field around Two Parallel Moving Bubbles and Interaction Between Bubbles Rising in CMC Solutions by PIV, Chin. J. Chem. Eng., 17(6): 904-913 (2009).
[29] Kumara W.A.S., Elseth G., Halvorsen B.M., Melaaen M.C., Comparison of Particle Image Velocimetry and Laser Doppler Anemometry Measurement Methods Applied to the Oil-water Flow in Horizontal Pipe, Flow Meas. Instrum., 21(2): 105-117 (2010).