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james maxwell published a famous paper in 1866 using the kinetic theory of gases to study gaseous viscosity.
http://en.wikipedia.org/wiki/Viscosity#cite_note-Maxwell1866-12 To understand why the viscosity is independent of pressure, consider two adjacent boundary layers (A and B) moving with respect to each other. The internal friction (the viscosity) of the gas is determined by the probability a particle of layer A enters layer B with a corresponding transfer of momentum. Maxwell's calculations showed him that the viscosity coefficient is proportional to both the density, the mean free path and the mean velocity of the atoms. On the other hand, the
mean free path is inversely proportional to the density. So an increase of pressure doesn't result in any change of the viscosity."
so basically at higher temperatures theres a greater velocity/mean free path which means greater viscosity which this dude basically determined experimentally.