In this paper we focus on two experimental techniques for testing predictions made by Laplace-Kelvin theory (LKT). The first technique employs the surface forces apparatus (SFA) to measure pull-off forces, the second uses a beam bending (BB) technique to determine the bending forces in a ...
null ellipsometry and image analyzing interferometry, These thickness profiles were analyzed using the augmented Young-Laplace equation to obtain the pressure ... IY Kim,PC Ayner - 《Journal of Thermophysics & Heat Transfer》 被引量: 24发表: 2012年 ...
14 This equation was derivedusing the Laplace equation, 15 describing the pressureincrease within a phase due to the curvature of its outerinterface. Thus, the Kelvin equation is due to the cur-vature effect. At a later date, the Kelvin equation wastransformed (nor by Thomson, neither by ...
The idea behind the equation is that sustainable development can only be achieved if all three components are given equal importance and are integrated into decision-making processes. 第二章2 Laplace-Kelvin公式 2.3 杨-拉普拉斯公式 1805年Young-Laplace导出了附加压力与曲率 半径之间的关系式: 1 1 Δ...
anything particular about the Kelvin equation. The present author presumes that it was due to the polite personality of Gibbs. Gibbs walked along his own path and added to his so-called Gibbs energy a new surface term, without using the Laplace equation (he used the Laplace equa- tion to ...
1 微小液滴的Laplace方程 设在一恒温恒容箱中有α相(液相)与β相(气相)组成的系统.其中α相由均匀分散在β 相中的椭球形微小液滴组成;微小液滴的两个主曲率半径分别为γ 1 ,γ 2 ,在α相与β相之间有 一与两相密切相关的界面相S,α、β、S相均含有相同的组分,整个系统的Helmholtz函变为 ...
Show moreView chapter Related terms: Charge Distribution Real Number Heat Equation Boundary Condition Initial-Value Problem Laplace Transform Partial Differential Equation Second Law of Thermodynamics Initial Datum unique solution φ View all Topics Recommended publications ...
Eq. (3.10) is a first-order differential equation that can be solved by considering σ=σ0 to determine creep compliance of the Kelvin–Voigt model. As can be seen in Eq. (3.11), the initial value (ε=0 @ t=0) used for solving this differential equation comes from the fact that at...
In this paper, we investigate the asymptotic dynamics of a non-autonomous stochastic rotational inertia and Kelvin–Voigt dissipative plate equation with multiplicative noise. The noise is multiplied by a Laplace operator which is unbounded. We establish the existence and upper semi-continuity of pull...
Young-Laplace方程可得液滴内外的压强差为 2 l l p r σ Δ = , 结合液滴和平面液体的化学势的关系, 可推导出 Kelvin方程[1,2] 0 2 ( ) ln ( ) l l r l V p l p l RTr σ = , (1) 其中 和 分别表示半径为 的液滴和平面液体的蒸汽压, 表示液体的摩尔体积. ( ) rp l 0( )...