The constancy of the contact angle in viscous liquid motions with pinned contact lines
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Consider motion initiated in a viscous liquid in a smooth walled container. The liquid is initially at rest under uniform pressure from an inert gas of negligible inertia. We show that if the contact line is pinned and the interface is single valued, the contact angle has to remain constant throughout the motion. This is true even for motions of finite amplitude. Some implications of the result are discussed.
KeywordsContact angle viscous motions pinned contact line
PACS Nos47.10.+g 47.35.+i 47.90.+a
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