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Derive a relation for the capillary rise of a liquid

Chapter 2, Problem 113P

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QUESTION:

Problem 113P

Derive a relation for the capillary rise of a liquid between two large parallel plates a distance t apart inserted into the liquid vertically. Take the contact angle to be ϕ.

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QUESTION:

Problem 113P

Derive a relation for the capillary rise of a liquid between two large parallel plates a distance t apart inserted into the liquid vertically. Take the contact angle to be ϕ.

ANSWER:

Step 1

The rise of liquid in capillary tube is governed by the surface tension of the liquid and the weight of the raised liquid. Stable condition reaches when the weight of the liquid is equal to the vertical component of the liquid. This condition will be used to derive the relation.

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