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Originally Posted by freebeard
Air at the surface is motionless, held in place by atmospheric pressure. Air an infinitesimal distance away has a resultant vector that starts out normal and varies toward tangential, becoming tangential at the extreme.
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I don't think this is correct; all the fluid dynamics texts I've read attribute the "no-slip" condition to intermolecular forces between the body and fluid, not atmospheric pressure.
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When a fluid flow is bounded by a solid surface, molecular interactions cause the fluid in contact with the surface to seek momentum and energy equilibrium with that surface.
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(White, Frank M.
Fluid Mechanics, 8th ed. [Chennai: McGraw Hill Education, 2017], 32).