2012
DOI: 10.1016/j.proeng.2012.07.579
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The Effects of Surfactants on the Drag of a Bubble

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Cited by 5 publications
(3 citation statements)
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“…Due to the presence of concentration gradients, molecular diffusion should be expected as the dominant mechanism in chemical flooding processes. The molecular diffusion is usually considered as a slow process in macroscopic scales because of the small magnitude of the diffusion coefficients (Masoudi et al 2019;Nagumo et al 2008;Ramírez-Muñoz et al 2012). According to the first Fick's first law, the time required for diffusion of species with diffusion coefficient D f into the distance d can be calculated by d 2 ∕D f (Paul et al 2014).…”
Section: Mass Diffusionmentioning
confidence: 99%
“…Due to the presence of concentration gradients, molecular diffusion should be expected as the dominant mechanism in chemical flooding processes. The molecular diffusion is usually considered as a slow process in macroscopic scales because of the small magnitude of the diffusion coefficients (Masoudi et al 2019;Nagumo et al 2008;Ramírez-Muñoz et al 2012). According to the first Fick's first law, the time required for diffusion of species with diffusion coefficient D f into the distance d can be calculated by d 2 ∕D f (Paul et al 2014).…”
Section: Mass Diffusionmentioning
confidence: 99%
“…The effect of surfactant on the motion dynamics of a single bubble is mainly considered in the scientific literature. In particular, it is known that addition of surfactant in a liquid leads to decrease of the rising velocity of a single gas bubble and, consequently, increase of the drag coefficient [1][2][3][4][5][6]. In the absence of surfactant the drag coefficient of a single bubble is determined by the Hadamard-Rybchinskii formula [7] 0 16 , Re…”
Section: Introductionmentioning
confidence: 99%
“…The distribution of the surfactants is determined by the adsorption/desorption kinetics, bulk diffusion, and surface convection. , If the rates of surfactant transport to the interface and surface diffusion are slow relative to the surface convection rate, the fluid motion sweeps the surfactants toward the trailing edge and forms a nonuniform distribution of the surfactants at the interface known as the stagnant cap . The resulting nonuniform surfactant distribution creates a surface tension gradient that counteracts the viscous stress of the flow and reduces the mobility and deformability of the interface. , …”
Section: Introductionmentioning
confidence: 99%