Abstract
Frame indifference is intimately related to the idealization, in conventional continuum mechanics, of the surface on which the surface forces act as a two-dimensional continuum devoid of mass. In the kinetic theory of gases, the surface is effectively a layer with thickness of the order of magnitude of the mean free path. The calculated pressure matrix contains a frame dependent term that represents the Coriolis forces that emerge in this layer when the applied forces are transformed from a fixed to a rotating reference frame.
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References
1.
Chapman, S.
and
Cowling, T.G.
The Mathematical Theory of Non-Uniform Gases . Cambridge University Press , Cambridge , 1939 .
2.
Müller, I.
On the frame dependence of stress and heat flux . Archive for Rational Mechanics and Analysis , 45 , 241 -250 (1972 ).
3.
Woods, L. C.
An Introduction to the Kinetic Theory of Gases and Magnetoplasmas . Oxford University Press , Oxford , 1993 .
4.
Reprinted in Collected Papers of R. S. Rivlin , Vol. 2, pp. 1713 -1721 , Eds.
G. I. Barenblatt
and
D. D. Joseph
, Springer , New York , 1997 .
5.
Rivlin, R. S.
Frame indifference and relative frame indifference . Mathematics and Mechanics of Solids , 10 , 145 -154 (2005 ).
6.
Smith, G. F.
Constitutive Equations for Anisotropic and Isotropic Materials . North-Holland, Amsterdam , 1994 .