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Physics版 - 请教高手一个关于液滴表面积的问题
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1 (共1页)
m****5
发帖数: 10
1
问题如下:
前提:有一个液滴(可以假设是水滴),半径为R,假设开始为半球形。
条件:1)液体底部的半径保持不变;
2)液体随着时间增加不断蒸发,体积逐渐减少。
3)液体的表面积在蒸发过程中始终保持最小值。
4)蒸发过程中,外界条件保持不变。
求:蒸发过程中某一时刻液滴顶点高度为h时的液滴表面积的表达式。
谢谢,欢迎回复信箱m******[email protected]
e**********n
发帖数: 359
2
I remember that the wetting angle is a constant due to the surface tension,
rather than the area of the bottom of the droplet.
The surface area is not necessarily a minimum due to the gravitation.
m****5
发帖数: 10
3
Thank you for your kindly reply.
Some supplementary information as following:
1)The contact line is pinning, so the contact angle is not a constant here.
2)The pinning was controlled during the whole evaporation processing.
3)The evaporative process can be seen a quasi-static process, and in every
moment, it is a trend that the surface area want to reach the minimum due to
surface tension.
Any idea about this question is appreciated!

,

【在 e**********n 的大作中提到】
: I remember that the wetting angle is a constant due to the surface tension,
: rather than the area of the bottom of the droplet.
: The surface area is not necessarily a minimum due to the gravitation.

c***r
发帖数: 63
4
some trivial ideas, the conditions guarantee 1) axis symmetry 2) convexity
really doubt whether useful, but, since any idea is appreciated...
it does no harm to mention 'em -_-

to

【在 m****5 的大作中提到】
: Thank you for your kindly reply.
: Some supplementary information as following:
: 1)The contact line is pinning, so the contact angle is not a constant here.
: 2)The pinning was controlled during the whole evaporation processing.
: 3)The evaporative process can be seen a quasi-static process, and in every
: moment, it is a trend that the surface area want to reach the minimum due to
: surface tension.
: Any idea about this question is appreciated!
:
: ,

1 (共1页)
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话题: 液滴话题: surface话题: 表面积话题: 蒸发话题: due