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An additional distant wall is known to highly alter the jetting scenarios of wall-proximal bubbles. Here, we combine high-speed photography and axisymmetric volume of fluid (VoF) simulations to quantitatively describe its role in enhancing the micro-jet dynamics within the directed jet regime (Zeng et al. , J. Fluid Mech. , vol. 896, 2020, A28). Upon a favourable agreement on the bubble and micro-jet dynamics, both experimental and simulation results indicate that the micro-jet velocity increases dramatically as decreases, where =H/R₌₀ₗ is the distance between two walls H normalized by the maximum bubble radius R₌₀ₗ. The mechanism is related to the collapsing flow, which is constrained by the distant wall into a reverse stagnation-point flow that builds up pressure near the bubble's top surface and accelerates it into micro-jets. We further derive an equation expressing the micro-jet velocity U₉₄ₓ=87. 94 ^0. 5 (1+ (1/3) (- ^1. 2) ^-2), where =d/R₌₀ₗ is the stand-off distance to the proximal wall with d the distance between the initial bubble centre and the wall, =Rₘ, ₌/R₌₀ₗ with Rₘ, ₌ the distance between the top surface and the proximal wall at the bubble's maximum expansion. Viscosity has a minimal impact on the jet velocity for small, where the pressure buildup is predominantly influenced by geometry.
Zeng et al. (Thu,) studied this question.
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