Mass transfer to drops moving through power law fluids in the intermediate reynolds number region

Wellek, R. M.; Gürkan, Türker

doi:10.1002/aic.690220311

Cited by 12 publications

(2 citation statements)

References 36 publications

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“…The local viscosity change greatly depends on the drop shape and is bound to impact the drop rise velocity (Ohta et al 2003(Ohta et al , 2005. The mass transfer around a bubble (Hirose & Moo-Young 1969;Michaelides 2006;Dhole, Chhabra & Eswaran 2007b;Radl, Tryggvason & Khinast 2007) or drop (Wellek & Gürkan 1976;Kishore, Chhabra & Eswaran 2007) is increased when the shear-thinning effect is enhanced. Besides, the wall effect induced by a confining tube on the flows around a rigid sphere is seen to be suppressed compared with that in a Newtonian fluid at fixed values of the Reynolds number and diameter ratio (Song, Gupta & Chhabra 2011).…”

Section: Introductionmentioning

confidence: 99%

Drag force on an oscillatory spherical bubble in shear‐thinning fluid

2023

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Power-law shear-thinning fluid motions induced by a translating spherical bubble with sinusoidal oscillation at a high frequency are numerically studied. We focus on reducing the time-averaged drag force $D$ on the bubble owing to the oscillation-enhanced shear-thinning effect. Under the assumption of negligible convection, the unsteady Stokes equation is directly solved in a finite-difference manner over a wide parameter space of the dimensionless oscillation amplitude $A$ (corresponding to the oscillatory-to-translational velocity ratio) and the power-law index $n$ of the viscosity. The results show that, for small amplitude ( $A\ll 1$ ), the drag reduction ratio $1-D/D_0$ (here, $D_0$ is $D$ with no oscillation) is proportional to $A^2$ . In contrast, for large amplitude ( $A \gg 1$ ), the drag ratio $D/D_0$ is proportional to $A^{n-1}$ , revealing a power-law behaviour. In the case of $A \gg 1$ for a strong shear-thinning fluid with small $n$ , the square of the vorticity over the entire domain is much smaller than that of the shear rate, and thus the bulk flow may be regarded as irrotational. To provide a fundamental perspective on the drag reduction mechanism, a theoretical model is proposed based on potential theory, and demonstrated to well capture the power-law relation between $D/D_0$ and $A$ .

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Section: Introductionmentioning

confidence: 99%

Drag force on an oscillatory spherical bubble in shear‐thinning fluid

2023

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“…<Pe<1O6), the boundary layer equation(2) can be used to describe the convective mass transfer to a drop. The tangential velocity in the boundary layer equation has been proposed by Nakao & Tien'5).…”

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confidence: 99%

Mass Transfer Coefficients of Uranium and Plutonium across Aqueous/Organic Interfaces of Solvent Extraction

Matsuda¹,

Gonda²

1986

Journal of Nuclear Science and Technology

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The mass transfer rates of U(VI), U(lV), Pu(IV) and Pu(IlI) nitrates across aqueous/ organic interfaces have been measured by a single drop method in solvent extraction. The overall mass transfer coefficients for rising, falling and jetting drops were related to the individual mass transfer coefficients in the dispersed and continuous phases. The Sherwood numbers in the dispersed and continuous phases, which contain the individual mass transfer coefficients, were correlated with the Peclet numbers in the corresponding phases, on the basis of the boundary layer theory, Handlos-Baron's theory and the penetration theory. This paper presents the experimental results of the mass transfer rates that were analyzed in terms of these theoretical findings. T h e mass transfers of U and Pu were confirmed to be controlled by molecular diffusion through the organic film layer for the rising or falling drops and the aqueous film layer for the jetting drops.

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Bubble blood oxygenator — A a design analysis

Arunachalam

Shettigar

1981

Ann Biomed Eng

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Mass transfer to drops moving through power law fluids in the intermediate reynolds number region

Cited by 12 publications

References 36 publications

Drag force on an oscillatory spherical bubble in shear‐thinning fluid

Drag force on an oscillatory spherical bubble in shear‐thinning fluid

Mass Transfer Coefficients of Uranium and Plutonium across Aqueous/Organic Interfaces of Solvent Extraction

Bubble blood oxygenator — A a design analysis

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