How Does Velocity Affect Viscosity in Material Flow?

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Sahir Butt
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As I understand, viscosity characterizes the "resistance" of a material to "flow locally" as a function of the velocity of the material flow.
Now my question is following, what are the physical mechanisms involved which make this "resistance" dependent on velocity of the material movement/flow?
If the atomic interactions are a function of positions/displacement of atoms/material points... Where is this velocity dependence coming from??
 
It is not dependent on the velocity. It is dependent on the spatial velocity gradient. To get an understanding of how the atomic interactions come into play, see Chapter 1 of Transport Phenomena by Bird, Stewart, and Lightfoot.