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References in periodicals archive ?
According to Vogt's theory [12,13], effects on bubble growth in one circle, meaning the process of bubble departure and movement excluded, include two parts, which are the diffusion due to the concentration gradient of dissolved gases in the aqueous electrolyte and the microconvection caused by the bubble interface movement.
For the microconvection effect caused by the bubble interface movement, we refer to the surface renewal theory by Danckwerts [16] described as follows:
By experimental studies of wettability on the photoelcectrode nanorod-array surface and oxygen bubble growth from anode, we analyzed the interaction affecting the gas-solid-liquid contact behaviors and product transportation mechanism, which is controlled by diffusion due to the concentration gradient of dissolved gases in the aqueous electrolyte and the microconvection caused by the bubble interface movement and we emphasize the importance of marangoni force due to nonhomogeneous gas adsorption at the interface and the capillary force caused by contact behavior with nanorod-array surface structure on bubble growth period.
The main goal of presented research is to quantify these convective effects in the close vicinity of boiling surface during the different stages of bubble interface evolution.
To define the bubble interface a manual masking procedure has to be performed.
In each time instant a bubble interface can be described by its geometric and kinematic parameters.
The results presented have shown how reasonably accurate predictions are obtained for the position of the gas bubble interface in channels of various cross sections for both isothermal and nonisothermal cases where cooling occurs during a gas delay.
where [c.sub.R] is the gas concentration at the bubble interface, and [k.sub.H] is Henry's constant.
This expression of mass balance is advantageous to avoid the treatment of gas concentration gradients at the bubble interface in the FEM simulation.
Therefore, a radial movement of an arbitrary position depends on the radial movement of the bubble interface, as expressed by
* By using the initially estimated pressure [P.sub.g] inside the bubble, the air concentxation at the air bubble interface, [c.sub.w], can be determined from Henry's law, Eq 15.
where [[Rho].sub.g] is the gas density inside the bubble, D Is the diffusion coefficient and [([Delta]c/[Delta]r).sub.r=R] is the gradient of the gas concentration at the bubble interface. The diffusion of the dissolved gas in the polymer is governed by (10)