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universe (0)

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In a capillary, when contact angle is 90, how is cohesive force equal to adhesive. I need the derivation...
    
pannaguma (425)

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http://www.goiit.com/posts/list/mechanics-why-miniscus-forms-on-the-surface-of-the-liquid-when-33987.htm

look at the diagram given by biki in this post.


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I need the reason as to why the cohesive force is equal to the adhesive force at contact angle 90. Please help. This is urgent!
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bvsatyaram (206)

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The result can be mathematically derived. But, I am sure, u cant even understand abc's of the derivation, as they involve advanced fluid mechanics theorems and complex maths.
So, lets try to derive the result intuitively.


Adhesive force can be considered as attraction force on liquid by walls.
Cohesive force can be considered as repulsive force on liquid by walls.

If attraction is more, liquid try to move towards walls. hence it tries to be in contact with walls as much as possible. So, lower miniscus will be formed, to increase the area of contact of liquid with walls.

By the same reasoning, upper miniscus will be formed when cohesive forces dominate, to reduce the area of contact.

Hence there will be no miniscus, when these 2 forces cancel each other.
So, no miniscus will be formed, when adhesive and cohesive forces are equal.

Satyaram B V,
General Secretary, Mandakini Hostel,
IIT Madras
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