2003
DOI: 10.1093/qjmam/56.3.381
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Creeping Flow around a Sphere in a Shear Flow Close to a Wall

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Cited by 82 publications
(78 citation statements)
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“…Accurate estimates of f v w for the indicated values of h / a in Table II were previously determined by Brenner 22 and for f h w and t h w by Chaoui and Feuillebois. 28 Results presented here are in perfect agreement with their investigations.…”
Section: ͑36͒supporting
confidence: 92%
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“…Accurate estimates of f v w for the indicated values of h / a in Table II were previously determined by Brenner 22 and for f h w and t h w by Chaoui and Feuillebois. 28 Results presented here are in perfect agreement with their investigations.…”
Section: ͑36͒supporting
confidence: 92%
“…The results for the parabolic flow coefficients, i.e., for f G and t G , were obtained previously by Pasol et al 29 As can be seen in Table I, our technique yields accurate estimates of all these four coefficients. It may be noted that prior to Chaoui and Feuillebois, 28 O'Neill 25 also obtained estimates for f ␥ and t ␥ . His estimates ͑1.7009 and 0.943 993͒ are also in agreement with the results presented here-a slight discrepancy is observed only in the fifth digit for the value of f ␥ .…”
Section: ͑36͒mentioning
confidence: 89%
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“…Note that, as expected, for K * = 10 −2 the coefficient f 33 decreases as the slip length λ increases, since the shear rate of the flow taking place in the slab-sphere gap is smaller when λ is bigger and thus the lubrication force is then smaller. Using the bipolar coordinates method, Michalopoulou et al (1992) considered the axisymmetric translation of a solid sphere towards another motionless and porous Davis, Kezirian & Brenner (1994) using the bipolar coordinates method ( for λ = 0.1, and ♦ for λ = 0.01) and by Luo & Pozrikidis (2008) using the boundary integral equations technique ( for λ = 0.1), and the results obtained for a solid wall and a no-slip particle by Luo & Pozrikidis (2008) (⋆ for λ = 0) and by Chaoui & Feuillebois (2003) …”
Section: Friction Coefficientsmentioning
confidence: 99%
“…This means that it is easier to move (translate or rotate) the sphere parallel with the slab than normal to it. For the weak permeability K * = 10 −4 , the porous slab behaves as an impermeable boundary of solid nature if λ 0.01 (see the comparisons with Chaoui & Feuillebois (2003) and Luo & Pozrikidis (2008) for λ = 0) or of slipping nature for λ large enough (see the comparisons with Davis et al (1994) and Luo & Pozrikidis (2008) for λ = 0.1). The coefficients f 12 and c 21 , displayed in figure 5, exhibit the same behaviours versus (d * , K * , λ) as the coefficients f 11 and c 22 but are of weaker magnitudes.…”
Section: (•)mentioning
confidence: 99%