The history effect on bubble growth and dissolution. Part 2. Experiments and simulations of a spherical bubble attached to a horizontal flat plate
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Citations
Dissolution process of a single bubble under pressure with a large-density-ratio multicomponent multiphase lattice Boltzmann model.
Transition to convection in single bubble diffusive growth
Aeration and dissolution behavior of oxygen nanobubbles in water
Growth of a bubble cloud in CO2-saturated water in microgravity
Aeration and dissolution behavior of oxygen nanobubbles in water.
References
Viscous and resistive eddies near a sharp corner
On the stability of gas bubbles in liquid-gas solutions
On the dynamics of phase growth
The flow past circular cylinders at low speeds
Related Papers (5)
Frequently Asked Questions (10)
Q2. Why have bubbles gained a renewed interest in microfluidic applications?
Mass transfer processes involving bubbles have gained a renewed interest over the last few years due to their relevance in modern microfluidic applications connected to topics such as carbon sequestration (Sun & Cubaud 2011; Volk et al. 2015).
Q3. What is the molar flow rate of a spherical gas bubble?
The total gas pressure inside the bubble, Pg, considering liquid–gas surface tension γlg, but neglecting inertial and viscous effects inside the gas phase, is given byPg = P∞ + 2γlg/R. (3.4)The mass transfer problem is closed with Fick’s first law, which sets the molar flow rate of gas across the bubble surface S to beṅ=D ∫S ∇C · n̂ dS, (3.5)where dS is an infinitesimal area element of the bubble surface, and n̂ is the outwardpointing unit normal from the bubble surface.
Q4. What is the effect of advection on the bubble?
It can be concluded that, although the instantaneous rate of mass transfer may only be slightly affected by advection, its effect accumulates over time and becomes important to describe the evolution of the bubble when subjected to successive expansion–compression cycles.
Q5. How can the authors bypass the limitation of the model?
The authors may bypass this limitation by modelling the effect of stratification essentially through just an effective increase (decrease) of mass transfer towards (from) the bubble.
Q6. how much gas does the assumption of a perfectly spherical bubble yield?
the assumption of perfectly spherical bubble at all time yields a relative error of less than 3 % as compared to the actual gas volume of the spherical cap and the pit.
Q7. How is the vorticity field allowed to evolve?
The vorticity field is then allowed to independently evolve through the vorticity transport equation, advancing with time step 1τv.
Q8. What is the effect of convection on the concentration boundary layer near the bubble?
despite the changes that convection induces in the velocity field, its effect on the concentration boundary layer near the bubble is minute, as is revealed by the comparison between figures 15(c) and 16(c).
Q9. What is the effect that contributes to the diffusion-driven dynamics of a bubble?
Another effect that contributes to the diffusion-driven dynamics of a bubble is the so-called history effect, discussed in Part 1 and more recently in Chu & Prosperetti (2016b).
Q10. What is the a priori unknown corresponding apparent velocity field?
Let us define the a priori unknown corresponding (dimensionless) apparent velocity field as urel(η, ξ, τ )= urel,η êη + urel,ξ êξ .