Bubble drag and mass transfer in non‐newtonian fluids: Creeping flow with power‐law fluids

Hirose, Takeshi; Moo-Young, M.

doi:10.1002/cjce.5450470318

Cited by 89 publications

(67 citation statements)

References 8 publications

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“…By introducing these assumptions we have the linearized equations of motion. Following the derivation for a bubble in power-law fluids [18], we finally have an expression FD = 4zr (32"2) (n-l)/2 (13 + 4n -8n 2) (2n+l) (n+2) tloUooR. (15) This equation reduces to Co _ (3),2)(n_1)/2 (13 + 4n -8n 2)…”

Section: ~P=(l+22h/2)(n-1)/2[{1 ~mentioning

confidence: 99%

“…It will be assumed that the term H* can be approximately evaluated by using Newtonian flow solution as well as the analytical of Hirose and Moo-Young's [18] for bubbles in a power-law fluid and that the elasticity is strong (2* is large). By introducing these assumptions we have the linearized equations of motion.…”

Section: ~P=(l+22h/2)(n-1)/2[{1 ~mentioning

confidence: 99%

“…This problem is of potential interest in viscous fermentation systems. This linearization technique was first used by Hirose and Moo-Young [18] for bubble motion in power-law fluid and was later applied successfully by Acharya etal. [19,20] for solid sphere motion in power-law fluid.…”

Section: Introductionmentioning

confidence: 96%

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Approximate solutions for drag coefficient of bubbles moving in shear-thinning elastic fluids

Kawase

Moo‐Young

1985

Rheol Acta

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Abstract:The drag coefficient for bubbles with mobile or immobile interface rising in shear-thinning elastic fluids described by an Ellis or a Carreau model is discussed. Approximate solutions based on linearization of the equations of motion are presented for the highly elastic region of flow. These solutions are in reasonably good agreement with the theoretical predictions based on variational principles and with published experimental data.

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Section: ~P=(l+22h/2)(n-1)/2[{1 ~mentioning

confidence: 99%

Section: ~P=(l+22h/2)(n-1)/2[{1 ~mentioning

confidence: 99%

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Approximate solutions for drag coefficient of bubbles moving in shear-thinning elastic fluids

Kawase

Moo‐Young

1985

Rheol Acta

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“…Then, the power law non-Newtonian fluid model was used in the bubble drag and mass transfer problem [7]. D'Alessio and Pascal [8] presented a research for steady two-dimensional flow of power law fluid past a non-rotating circular cylinder.…”

Section: Introductionmentioning

confidence: 99%

A new diffusion for laminar boundary layer flow of power law fluids past a flat surface with magnetic effect and suction or injection

Lin

Zheng

2015

International Journal of Heat and Mass Transfer

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“…The axial part of the solution using B. C. (7) is given by «&<(£) = «"* (12) and the radial part <fi(p) is given by *-&-+M(! -pn+1) =°d p (13) Eq.…”

Section: Introductionmentioning

confidence: 99%

Solid Dissolution in Falling Films of Non-Newtonian Liquids

Mashelkar

Chavan

1973

J. Chem. Eng. Japan

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The problem of solid dissolution in films of non-Newtonian pseudoplastic liquids falling over flat, cylindrical, spherical and conical surfaces is studied theoretically. The resulting Sturm-Liouville problem is solved by series expansion on a digital computer. Numerical results for the eigenvalues, eigenfunctions, expansion coefficients and average expansion coefficients are reported for power-lawliquids. Semi-quantitative considerations are presented for considering the influence of fluid-stretching in the case of viscoelastic liquids. IntroductionAlthough a considerable interest has been shown in recent years in the study of momentumand heat transfer characteristics of non-Newtonianfluids, relatively little work has been done so far as the problems of mass transfer are concerned. In numerousindustrial situations, such as diffusion-controlled polymerisation reactions, several biological and physiological processes as well as in manyindustrial waste disposal systems, a knowledge of mass transfer in non-Newtonian media may be extremely important.Oneof the important factors influencing the rates of mass transfer is the molecular diffusion coefficient of the solute in the solvent. There is a good deal of information in the literature on the diffusion coefficients of solutes in a variety of non-Newtonian media such as polymer solutions, suspensions etc. (see e.g. 1, 2, 9, 13). It has been conclusively proved that the conventional formulae for computing the diffusion coefficients in Newtonianmedia give erroneous results whenused for non-Newtonian media. It is found that in spite of the enormousdifferences in the viscosities of the solvents and the polymer solutions, the order of magnitude of the diffusion coefficients in the polymer solutions is practically the same as that in the solvent. Since most non-Newtonian liquids are highly viscous in character, the conventional static techniques for the determination of diffusion coefficients may be unsuitable. For instance, Hansford and Litt11} attempted to measure the diffusivity of benzoic acid in polymer solutions by using diaphragm cell technique, but the results were not reliable. Further, the nonNewtonian behaviour of the material will be exhibited only under flow conditions. Hence it is important to devise techniques where measurementsof mass transfer rates in flowing non-Newtonian liquids under welldefined flow conditions can be made. This will enable us to calculate the value of the diffusion coefficient in the non-zero shear rate region. This will also enable us to examine the effect on the diffusion coefficient, if any, of the changes in the molecular configurations which occur in a flowing non-Newtonian liquid. One such technique is the study of the rate of dissolution of solids in flowing films of non-Newtonian liquids. Usually flat and inclined slabs of the solids to be dissolved have been used for such a purpose2).Howeverthe possibility of using other shapes has not been investigated so far.In this work, we have studied theoretically the problem of solid dis...

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Bubble drag and mass transfer in non‐newtonian fluids: Creeping flow with power‐law fluids

Cited by 89 publications

References 8 publications

Approximate solutions for drag coefficient of bubbles moving in shear-thinning elastic fluids

Approximate solutions for drag coefficient of bubbles moving in shear-thinning elastic fluids

A new diffusion for laminar boundary layer flow of power law fluids past a flat surface with magnetic effect and suction or injection

Solid Dissolution in Falling Films of Non-Newtonian Liquids

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