On the terminal velocity of single bubbles rising in non-Newtonian power-law liquids

Battistella, A.; Schijndel, S.J.G. van; Baltussen, M.W.; Roghair, I.; Annaland, Martin van Sint

doi:10.1016/j.jnnfm.2020.104249

Cited by 17 publications

(5 citation statements)

References 30 publications

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“…Besides, the bubble maintains its spherical shape. The convective term of the material derivative of particle velocity is zero when discussing the pulsation of a single bubble whose center rests fixed in space [39]. Moreover, the magnetic field is considered a constant [40][41][42].…”

Section: Hydrodynamic Modeling In N-dimensions Of Non-newtonian Hybri...mentioning

confidence: 99%

“…Here g  refers to the strain tensor's rate. The generic Newtonian model, which exchanges the viscosity m in equation ( 6) with a manifest viscosity h as a function of the shear rate [39], is a widely used model to characterize the rheology of non-Newtonian fluids without viscoelastic behavior. The shear rate can be expressed as the magnitude of the strain tensor rate that reads…”

Section: Shear Stress Term In N-dimensionsmentioning

confidence: 99%

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Impact of magnetic-field on the dynamic of gas bubbles in N-dimensions of non-Newtonian hybrid nanofluid: analytical study

2022

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The aim of this study is to focus mainly on the behavior of gas bubble growth under the ‎effect of ‎a ‎magnetic field in N-dimensions of non-Newtonian hybrid ‎nanomaterials. Many types of ‎nanoparticles with ‎base nanofluids have been used to study the problems that arise in the ‎nanotechnology industrial ‎processes. Considering these problems in nanomaterials, the effects of ‎thermophysical parameters, such ‎as nanoparticle size and type, nanoparticle volume fraction, N-‎dimensions, thermal diffusivity, and ‎thermal conductivity are discussed. This investigation has ‎demonstrated that the magnetic field B and ‎electrical conductivity σE have a significant impact ‎on the dynamics of gas bubbles, showing that they ‎play an important role in decreasing the ‎growth processes. Furthermore, we examine the behavior of the ‎gas bubble radius in the cases of ‎pure water, mono nanoparticles, and hybrid nanofluid of nanomaterials ‎ (such as Cu-Al2O3/H2O, ‎and Cu-TiO2/H2O) in N-dimensions of non-Newtonian fluid. Moreover, the relationship between ‎shear stress and shear rate of non-Newtonian hybrid nanofluids is ‎studied. The results are ‎graphically represented to illustrate the behavior of solutions for the ‎presented model. It is noted ‎that the nanoparticles improve the thermophysical properties, which ‎enhances the efficiency of ‎the heat transfer rate of the nanofluids and decreases the behavior of ‎the gas bubble radius. ‎Based on the analysis of simulation procedures and system stability, we ‎‎observe that the ‎obtained ‎results provide more accurate solutions and a greater reduction in the ‎‎growth bubble process ‎compared to ‎previous ‎models. Finally, we apply the phase plane ‎approach to analyze the stability ‎of the corresponding nonlinear ‎system of the proposed model.

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Section: Hydrodynamic Modeling In N-dimensions Of Non-newtonian Hybri...mentioning

confidence: 99%

Section: Shear Stress Term In N-dimensionsmentioning

confidence: 99%

Impact of magnetic-field on the dynamic of gas bubbles in N-dimensions of non-Newtonian hybrid nanofluid: analytical study

2022

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“…The apparent viscosity of power-law materials, as a general non-Newtonian fluid, is obtained by [50][51][52]:…”

Section: Modeling Of Non-newtonian Fluidsmentioning

confidence: 99%

Analyzing Impacts of Interfacial Instabilities on the Sweeping Power of Newtonian Fluids to Immiscibly Displace Power-Law Materials

Esmaeilpour

Korzani

2021

Processes

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Injection of Newtonian fluids to displace pseudoplastic and dilatant fluids, governed by the power-law viscosity relationship, is common in many industrial processes. In these applications, changing the viscosity of the displaced fluid through velocity alteration can regulate interfacial instabilities, displacement efficiency, the thickness of the static wall layer, and the injected fluid’s tendency to move toward particular parts of the channel. The dynamic behavior of the fluid–fluid interface in the case of immiscibility is highly complicated and complex. In this study, a code was developed that utilizes a multi-component model of the lattice Boltzmann method to decrease the computational cost and accurately model these problems. Accordingly, a 2D inclined channel, filled with a stagnant incompressible Newtonian fluid in the initial section followed by a power-law material, was modeled for numerous scenarios. In conclusion, the results indicate that reducing the power-law index can regulate interfacial instabilities leading to dynamic deformation of static wall layers at the top and the bottom of the channel. However, it does not guarantee a reduction in the thickness of these layers, which is crucial to improve displacement efficiency. The impacts of the compatibility factor and power-law index variations on the filling pattern and finger structure were intensively evaluated.

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“…In summary, bubble dynamics and mass transfer characteristics in water or water-based solutions have been well studied and reported, but research on petroleum-based solutions is still insufficient. It is known that in water-based systems, the liquid viscosity and surface tension have an impact on the bubble dynamics and mass transfer characteristics. − Compared to the water-based solutions, the petroleum-based liquids have lower surface tensions and higher viscosities. Chaumat et al compared the motion of bubbles in cyclohexane and water and found that they were significantly different.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study on Bubble Dynamics and Mass Transfer Characteristics of Coaxial Bubbles in Petroleum-Based Liquids

Chen

Liu³

et al. 2023

ACS Omega

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Petroleum-based liquids are from an important petroleum-based polymer, whose application and preparation involve multiple operations related to gas–liquid two-phase flow. Due to insufficient research on gas–liquid two-phase flow, there is a gap in bubble dynamics and mass transfer characteristics in petroleum-based liquids. Accordingly, we have systematically investigated the bubble formation process, bubble rising dynamics, and mass transfer of coaxial bubbles. Herein, the contour of bubbles was obtained for analyzing the bubble formation process. It was found that the increase of gas flow rate contributed to the increase of bubble generation size, while the liquid viscosity had an inhibitory influence on the increase of bubble generation size. Moreover, the variation of bubble rising velocity was considered and the force analysis of the rising bubble was provided. A new model of drag coefficient applicable to petroleum-based liquids was proposed. Finally, variations in the amount of dissolved oxygen in the liquid were measured to analyze the mass transfer characteristics. The increase in nozzle inner diameter and gas flow rate both promoted mass transfer, but the increased liquid viscosity hindered mass transfer.

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On the terminal velocity of single bubbles rising in non-Newtonian power-law liquids

Cited by 17 publications

References 30 publications

Impact of magnetic-field on the dynamic of gas bubbles in N-dimensions of non-Newtonian hybrid nanofluid: analytical study

Impact of magnetic-field on the dynamic of gas bubbles in N-dimensions of non-Newtonian hybrid nanofluid: analytical study

Analyzing Impacts of Interfacial Instabilities on the Sweeping Power of Newtonian Fluids to Immiscibly Displace Power-Law Materials

Experimental Study on Bubble Dynamics and Mass Transfer Characteristics of Coaxial Bubbles in Petroleum-Based Liquids

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