Comparison of selected theoretical models of bubble formation and experimental results

• Autorzy: Rząsa M. R.
• Języki publikacji: EN

Abstrakty

EN

Designers of all types of equipment applied in oxygenation and aeration need to get to know the mechanism behind the gas bubble formation. This paper presents a measurement method used for determination of parameters of bubbles forming at jet attachment from which the bubles are displaced upward. The measuring system is based on an optical tomograph containing five projections. An image from the tomograph contains shapes of the forming bubbles and determine their volumes and formation rate. Additionally, this paper presents selected theoretical models known from literature. The measurement results have been compared with simple theoretical models predictions. The paper also contains a study of the potential to apply the presented method for determination of bubble structures and observation of intermediate states.

Słowa kluczowe

EN

bubble formation; optical tomography; bubble flow measurement

PL

tworzenie pęcherzy; tomografia optyczna; pomiar przepływu

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2014
• Tom: Vol. 35, no. 2
• Strony: 21--36
• Opis fizyczny: Bibliogr. 34 poz., il.

Twórcy

autor

Rząsa M. R.

• Opole University of Technology, Mikołajczyka 5, 45-271 Opole, Poland

Bibliografia

• [1] ORZECHOWSKI Z.: One-dimensional two-phase flows established adiabatically. PWN Warsaw 1990 (in Polish).
• [2] RZĄSA M.R., GRUDZIEŃ K., PRZYWARSKI R., ROMANOWSKI A., WAJMAN R.: The Discrete Optical Tomograph Including Five Projections. In: Proc. 5th World Congress on Industrial Process Tomography, Bergen 2007.
• [3] RZĄSA M.R., PLĄSKOWSKI A.: Application of optical tomography for measurements of aeration parameters in large water tanks. Meas. Sci. Technol. 14(2003), 2, 199-204.
• [4] DZIUBIŃSKI M., PRYWER J.: Mechanics of two-phase fluids. WNT, Warszawa 2010 (in Polish).
• [5] XIAO Z.: Bubble Formation and Bubble-wall Interaction at a Submerged Orifice. Nation University of Singapore, 2004.
• [6] DAVIDSON J. F., SCHULER B.O.: Bubble formation at an orifice in a viscous liquid. T. Inst. Chem. Engender. 38(1960), 144-154.
• [7] DAVIDSON J. F., SCHULER B.O.: Bubble formation at an orifice in an inviscid liquid. T. Inst. Chem. Engender. 38(1960), 335-342.
• [8] HAYES W.B., HARDY B.W., HOLLAND C.D.: Formation of gas bubbles at submerged orifices. A.I.Ch.E. J. 5(1959), 3, 319-324.
• [9] SWOPE R.D.: Single bubble formation at orifices submergedin viscous liquids. J. Chem.Eng.49(1971), 169-174.
• [10] RAMAKRISHNAN S., KUMAR R., KULOOR N.R.: Studies in bubble formation-I. Bubble formation under constant flow conditions. Chem. Eng. Sci. 24(1969), 731—747.
• [11] TSUGE H., HIBINO S.: Bubble formation from a submerged single orifice accompanied by pressure fluctuations in gas chamber. J. Chem. Eng. Japan 11(1979), 3, 173-178.
• [12] MIYAHARA T., MATSUBA Y. AND TAKAHASHI T.: Bubble formation from an orifice at high gas flow rates. Int. Chem. Eng. 23(1983), 3, 524-531.
• [13] GADDIS E. S., VOGELPOHL A.: Bubble formation in quiescent liquids under constant flow conditions. Chem. Eng. Sci. 41(1986), 1, 97-105.
• [14] WRAITH A.E.: Two-stage bubble growth at a submerged plate orifice. Chem. Eng. Sci. 26(1971), 1659-1671.
• [15] KUPFERBERG A., JAMESON G.J.: Bubble formation at submerged orifice above a gas chamber of finite volume. Trans. Inst. of Chem. Eng. 47(1969), 241-250.
• [16] TSUGE H., HIBINO S.: Bubble formation from an orifice submerged in liquids. Chem. Eng. Commun. 22(1983), 63-79.
• [17] TAN R.B.H., CHEN W.B., TAN K.H.: Non-spherical model for bubble formation with liquid cross-flow. Chem. Eng. Sci. 55(2000), 6259-6267.
• [18] TAN R.B.H., HARRIS I.J.: A model for non-spherical bubble formation at a single orifice. Chem. Eng. Sci. 41(1986), 12, 3175-3128.
• [19] HOOPER A.P.A.: A study of bubble formation at a submerged orifice using the boundary element method. Chem. Eng. Sci. 41(1986), 1879-1890.
• [20] MARMUR A., RUBIN E.: A theoretical model for bubble formation at an orifice submerged in an inviscid liquid. Chem. Eng. Sci. 31(1976), 453-463.
• [21] ZHANG Y.: Modeling the Effect of Liquid Viscosity and Surface Tension on Bubble Formation. Nation University of Singapore, 2004.
• [22] PINCZEWSKI W.V.: The formation and growth of bubbles at a submerged orifice. Chem. Eng. Sci. 36(1981), 405-411.
• [23] ZUGHBI H.D., PINCZEWSKI W.V., FELL C.J.: Bubble growth by the marker and cell technique. In: Proc. 8th Australian Fluid Mechanics Conf. 1983, 8B.9-8B.12.
• [24] TERESAKA K., TSUGE H.: Bubble formation at a single orifice in highly viscous liquids. J. Chem. Eng. Jpn 23(1990), 160-165.
• [25] YOO D., TERESAKA K., TSUGE H.: Behavior of bubble formation at elevated pressure. J. Chem. Eng. Jpn 31(1998), 1, 76-82.
• [26] RZĄSA M.R.: The dynamic flow meter for uses of measurement a very small gas flow. In: Proc. IV Sympozjum nt. Pomiarów dynamicznych, Gliwice, 7-8 Nov. 2002.
• [27] RZĄSA M.R., SAWICKI J.: A flowmeter for measurements of very small gas flows. Sensor. Transducer. Mag. 40(2004), 2, 128-136.
• [28] ZHANG L., SHOJI M.: Aperiodic bubble formation from a submerged. Chem. Eng. Sci. 56(2001), 5371-5381.
• [29] DIJKHUIZEN W., SINT ANNALAND M,. KUIPERS. J.A.M.: Direct numerical simulation of the drag force in bubble swarms. 6th Int. Conf. Multiphase Flow, Leipzig, July 9-13, 2007.
• [30] LOUBIERE K., HEBRARD G.: Bubble formation from a flexible hole submerged in an inviscid liquid. Chem. Eng. Sci. 58(2003), 135-148.
• [31] DAVIDSON J.F., MECH A.M.I., SCHULER B.O.G.: Bubble formation at an orifice in a viscous liquid. Chem. Eng. Res. Des. 75(1997), Sup. 1, S105-S115.
• [32] KHURANA A.K., KUMAR R.: Studies in Bubble Formation-III. Chem. Eng. Sci. 24(1969), 1711-1723.
• [33] KUMAR R., KULOOR N.R.: The formation of bubbles and drops. Advances in Chem. Eng. 8(1970), 255-368.
• [34] SATYANARAYAN A., KUMAR R., KULOOR N.R.: Studies in Bubble Formation - II. Bubble Formation under Constant Pressure conditions. Chem. Eng. Sc. 24(1969), 749-761.7