The Slow Motion of a Spherical Particle in a Carreau Fluid

Rodrigue, Denis; Kée, D. De; Fong, C. F. Chan Man

doi:10.1080/00986449608936652

Cited by 13 publications

(13 citation statements)

References 16 publications

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“…This conclusion is consistent with that of Mena et al [13]. Rodrigue et al [14] investigated analytically the movement of a spherical bubble and a rigid particle in an infinite Carreau fluid under conditions of creeping flow. Shahcheraghi and Dwyer [15] analyzed the problem of the flow of an incompressible Newtonian fluid over a spherical object placed in a pipe under the condition of convective flow, taking the effect of heat transfer into account.…”

Section: Introductionsupporting

confidence: 88%

Drag force on a rigid spheroidal particle in a cylinder filled with Carreau fluid

Hsu

Hsieh

Tseng

2005

Journal of Colloid and Interface Science

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Section: Introductionsupporting

confidence: 88%

Drag force on a rigid spheroidal particle in a cylinder filled with Carreau fluid

Hsu

Hsieh

Tseng

2005

Journal of Colloid and Interface Science

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“…We will follow the development of Rodrigue et al (1996) where the fluid is described by the three parameter Carreau model in the limit of small Carreau number using a perturbation method. The Carreau model is given by:…”

Section: Resultsmentioning

confidence: 99%

Bubble drag in contaminated non‐newtonian solutions

1997

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The motion of a bubble in an infinite fluid is examined in the case where the surrounding fluid is nowNewtonian and contains impurities. An expression is developed for the drag force as a function of the shear-thinning character as well as of the concentration of surfactant of the fluid. The obtained expression for the drag force correlates quite nicely with experimental data for small bubbles.On examine le deplacement d'une bulle dans un fluide infini dans le cas ou le fluide environnant est non newtonien et contient des impuretes. Une expression est etablie pour la force de trainee en fonction du caractere rhkofluidifiant ainsi que de la concentration en surfactant du fluide. L'expression obtenue pour la force de trainee concorde assez bien avec les donnees experimentales pour des petites bulles.Keywords: bubble, drag force, contaminated non-Newtonian fluids.he motion of gaseous particles is of great importance in T chemical engineering since it is encountered in many unit operations, especially in bubble columns, Some examples are given in De Kee et al.( 1996). Most of the literature on the subject of the motion of a gas bubble in an infinite fluid has been confined to the case of uncontaminated Newtonian fluids. Unfortunately most industrial processes need to add other substances to the raw materials so as to increase the efficiency. This leads to the presence of impurities and the rheology of the fluids becomes complex. That is to say, long chain molecules and surface active agents can be present in small amounts. These two factors cause variable viscosity, elasticity and surface tension gradients. These effects are known to modify the hydrodynamics and the mass transfer of such multiphase systems. For example, polymer additives are known to produce a certain level of drag reduction and surfactants are known to retard interfacial motion and to increase the drag by setting up Marangoni stresses at the gas-liquid interface (Rodrigue et al., 1997). Keeping in mind that the drag force is a function of both viscosity and surface tension, the main objective of this note is to derive a convenient expression for the approximation of the drag force acting on a single gas bubble rising freely in an inelastic shear-thinning fluid containing surfactants. We note that the presence of a surfactant leads to an increase in drag and an increase in the shear rate. This in turn, lowers the viscosity of a shear-thinning fluid resulting in a lower drag. Thus it seems that one tends to counterbalance the other. The expression derived being valid only in the limit described herein. ResultsSolving the conservation equations analytically is a difficult task since momentum and mass transfer are coupled. In the past, several approximations have been made in order to decouple these equations and to obtain limiting cases such as the uniformly retarded motion and the stagnant cap approximations. A recent review on this subject is available in Rodrigue et al. (1997). Here we will approximate the drag *Author to whom correspondence should ...

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“…For sedimentation in a non-Newtonian fluid, almost all of the available results are limited to spherical particles [2][3][4][5] and that for nonspherical particles are relatively limited [6][7][8][9][10][11]. Several attempts were made concerning the sedimentation in a viscoelastic fluid, and behaviors that are different from those in a Newtonian fluid were observed (e.g., [12][13][14][15][16]). The sedimentation of particles in a shear-thinning fluid has also been studied by many investigators.…”

Section: Introductionmentioning

confidence: 99%

“…The sedimentation of particles in a shear-thinning fluid has also been studied by many investigators. Under the creeping flow condition, Rodrigue et al [16] derived the drag coefficients of both rigid spheres and bubbles in an infinite Carreau fluid. It was shown that the influence of the shear-thinning nature of a Carreau fluid on a rigid sphere is greater than that on a bubble.…”

Section: Introductionmentioning

confidence: 99%