The Formation Behavior of a Single Bubble in Power-Law Fluids

Li, Shaobai; Xu, Shuang; Yan, Zheng; Li, Rundong; Yang, Tianhua

doi:10.1590/0104-6632.20170341s20150681

Cited by 3 publications

(4 citation statements)

References 25 publications

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“…It is found that these results are consistent as shown in figures 13 and 14. Furthermore, the evaluations of the present model are more accurate and have a good agreement with the previous studies as in [16,19,24,29,30]. We noticed that the time of growth and collapse plays a significant role in the problem, such that the growth time of the bubble is much greater than the collapse time as a result of the sudden collapse of the bubble that restricts the increase in pressure potential.…”

Section: Validation Of the Model And Comparative Analysissupporting

confidence: 86%

“…Subsequently, numerical, and experimental studies were implemented on the formation of bubbles in power-law fluids [22,25]. The behavior of a single vapor bubble in carboxymethyl cellulose (CMC) and glycerol solution is investigated experimentally by Li et al [30]. The growth of a vapor bubble in a superheated liquid was studied by many authors as in [26,27].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of a single vapor bubble during Al₂O₃/H₂O nanofluids in power-law fluid affected by a variable surface tension

2021

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This article analyzes the growth of the vapor bubble in a novel model of power-law nanofluids (Al2O3/H2O) under a new effect of variable surface tension. The governing equations of the rising vapor bubble flow model are formulated and converted to a single equation describing the bubble dynamics behavior. By employing the model of Plesset and Zwick method, we investigate a new model of equations within power-law nanofluids to examine the effect of different physical parameters such as initial superheating liquid, critical bubble radius, and thermal diffusivity on the vapor bubble formation. Furthermore, the effects of surface tension behavior with the initial bubble radius, time, and initial rate of bubble radius are examined. It is found that the growth of the vapor bubble radius increases with the increase of initial superheating liquid, critical bubble radius, and thermal diffusivity. In addition, the connection between shear stress and shear rate is analyzed in detail. Using appropriate values for the physical parameters, the behavior of solutions of the vapor bubble is discussed. Based on the conducted simulation analysis, the behavior of the solutions is found to be more accurate than those in the previous studies. Besides, the obtained results demonstrate that the vapor bubble in power-law nanofluids grows slower than in pure water.

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Section: Validation Of the Model And Comparative Analysissupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Theoretical investigation of a single vapor bubble during Al₂O₃/H₂O nanofluids in power-law fluid affected by a variable surface tension

2021

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“…There is a counteracting effect between the surface tension force and the resistance of ambient liquid. Moreover, the adhesion of the bubble to the inner wall of the nozzle is strengthened with the increase of the nozzle outlet diameter 23 . For mineral oil, the variation in nozzle outlet diameter leads to a more drastic change in the bubble detachment frequency.…”

Section: Resultsmentioning

confidence: 58%

Quantitative characterization of bubble evolution in mineral oil for different air‐injection nozzles

Mao

Kang

Teng

et al. 2020

Asia-Pacific J Chem Eng

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The aim of the present study is to reveal characteristics of a rising bubble in quiescent mineral oil. Three air-injection nozzles with outlet diameters of 1.0, 2.0, and 3.0 mm were selected. Consecutively rising bubbles were produced as air was injected into mineral oil. Bubble visualization was implemented using the high-speed photography technique. Bubble images captured were processed using an in-house code to calculate the equivalent bubble diameter and the bubble velocity. The computational fluid dynamics technique was used to simulate flows around the rising bubble. The bubble trajectory, the bubble aspect ratio, and the bubble velocity were compared among the three nozzles. Correlations between nondimensional parameters were constructed. The results show that the bubble motion in mineral oil is stabilized in comparison with that in deionized water. Spherical and ellipsoidal shapes are prevalent.The bubble trajectory is rectilinear, which is independent of the nozzle outlet diameter. After the bubble separates from the nozzle, the equilibrium state is promptly attained. Smooth bubble evolution is ascribed to suppressed wake vortices immediately downstream of the bubble. Small nozzle outlet diameter is responsible for high aspect ratio but small Eötvös number. Values of the Weber number are much smaller than those associated with deionized water.The drag coefficient descends continuously with increasing Reynolds number (Re); the correspondence between the drag coefficient and Re is explicitly sensitive to the nozzle outlet diameter. K E Y W O R D Sbubble, bubble aspect ratio, bubble trajectory, drag coefficient, mineral oil, visualization

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“…International Journal of Chemical Engineering Furthermore, some scholars used the aspect ratio (E), defined as the ratio of the vertical diameter to the horizontal diameter, i.e., E � D Y /D X, to describe the bubble shapes [41][42][43][44]. Unfortunately, most mathematical models of eccentricity (e) and aspect ratio (E) are for Newtonian fluids and viscous non-Newtonian fluids, and limited studies have been conducted on viscoelastic fluids.…”

mentioning

confidence: 99%

Review of Single Bubble Motion Characteristics Rising in Viscoelastic Liquids

Wang

2021

International Journal of Chemical Engineering

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The emphasis of this review is to discuss three peculiar phenomena of bubbles rising in viscoelastic fluids, namely, the formation of a cusp, negative wake, and velocity jump discontinuity, and to highlight the possible future directions of the subject. The mechanism and influencing factors of these three peculiar phenomena have been discussed in detail in this review. The evolution of the bubble shape is mainly related to the viscoelasticity of the fluid. However, the mechanisms of the two-dimensional cusp, tip-streaming, “blade-edge” tip, “fish-bone” tip, and the phenomenon of the tail breaking into two different threads, in some special viscoelastic fluids, are not understood clearly. The origin of the negative wake behind the bubbles rising in a viscoelastic fluid can be attributed to the synergistic effect of the liquid-phase viscoelasticity, and the bubbles are large enough; thus, leading to a very long relaxation time taken by the viscoelastic stresses. For the phenomenon of bubble velocity jump discontinuity, viscoelasticity is the most critical factor, and the cusp of the bubbles and the surface modifications play only ancillary roles. It has also been observed that a negative wake does not cause velocity jump discontinuity.

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The Formation Behavior of a Single Bubble in Power-Law Fluids

Cited by 3 publications

References 25 publications

Theoretical investigation of a single vapor bubble during Al₂O₃/H₂O nanofluids in power-law fluid affected by a variable surface tension

Theoretical investigation of a single vapor bubble during Al₂O₃/H₂O nanofluids in power-law fluid affected by a variable surface tension

Quantitative characterization of bubble evolution in mineral oil for different air‐injection nozzles

Review of Single Bubble Motion Characteristics Rising in Viscoelastic Liquids

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The Formation Behavior of a Single Bubble in Power-Law Fluids

Cited by 3 publications

References 25 publications

Theoretical investigation of a single vapor bubble during Al2O3/H2O nanofluids in power-law fluid affected by a variable surface tension

Theoretical investigation of a single vapor bubble during Al2O3/H2O nanofluids in power-law fluid affected by a variable surface tension

Quantitative characterization of bubble evolution in mineral oil for different air‐injection nozzles

Review of Single Bubble Motion Characteristics Rising in Viscoelastic Liquids

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Product

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Theoretical investigation of a single vapor bubble during Al₂O₃/H₂O nanofluids in power-law fluid affected by a variable surface tension

Theoretical investigation of a single vapor bubble during Al₂O₃/H₂O nanofluids in power-law fluid affected by a variable surface tension