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首页> 外文期刊>The journal of physical chemistry, C. Nanomaterials and interfaces >Novel Methodology for Predicting the Critical Salt Concentration of Bubble Coalescence Inhibition
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Novel Methodology for Predicting the Critical Salt Concentration of Bubble Coalescence Inhibition

机译:预测气泡聚结抑制的临界盐浓度的新方法

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摘要

Bubble coalescence in some salt solutions can be inhibited if the salt concentration reaches a critical concentration C_(cr). There are three models available for C_(cr) in the literature, but they fail to predict C_(cr) correctly. The first two models employ the van der Waals attraction power laws to establish C_(cr) from the discriminant of quadratic or cubic polynomials. To improve the two models, the third model uses the same momentum balance equation of the previous models but different intermolecular force generated by water hydration with exponential decaying. The third prediction for C_(cr) requires the experimental input for film rupture thickness and is incomplete. We show further in this paper that the third model is incorrect. We propose a novel methodology for determining C_(cr) which resolves the mathematical uncertainties in modehng C_(cr) and can expplicitly predict it from any relevant intermolecular forces. The methodology is based on the discovery that C_(cr) occurs at the local maximum of the balance equation for the capillary pressure, disjoining pressure, and pressure of the Gibbs-Marangoni stress. The novel generic approach is successfully validated using nonhnear equations for comphcated disjoining pressure.
机译:如果盐浓度达到临界浓度C_(cr),则可以抑制某些盐溶液中的气泡聚结。文献中有C_(cr)可用的三种模型,但它们无法正确预测C_(cr)。前两个模型采用范德华引力定律从二次多项式或三次多项式的判别式建立C_(cr)。为了改进这两个模型,第三个模型使用了与先前模型相同的动量平衡方程,但是通过水化作用随指数衰减而产生了不同的分子间力。 C_(cr)的第三次预测需要针对膜破裂厚度的实验输入,并且不完整。我们在本文中进一步表明,第三个模型是错误的。我们提出了一种确定C_(cr)的新颖方法,该方法解决了现代C_(cr)的数学不确定性,并且可以根据任何相关的分子间力来精确地预测它。该方法基于以下发现:对于毛细管压力,分离压力和Gibbs-Marangoni应力的压力,C_(cr)出现在平衡方程的局部最大值处。新颖的通用方法已成功地通过使用nonhnear方程验证了复合解体压力。

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