Correction of two errors in the kinetic theory of gases which have been used to cast unfounded doubt upon the principle of material frame-indifference

Author:

Truesdell Clifford

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference19 articles.

1. Chapman S. andCowling T. G.,The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, 1939; partially corrected second edition, 1952; revised third edition, 1970. The equations in question are 15.3,4 through 15.3,7 (in the third edition, 15.41,3). As printed in the first edition Equations 15.4,5 and 15.4,6 each contain an error resulting from slips in calculation. These were detected by C. S. Wang Chang and G. E. Uhlenbeck,On the Transport Phenomena in Rarified Gases, Applied Physics Lab. Report No. APL/JHU CM-443, February 20, 1948, reprinted inStudies in Statistical Mechanics, Volume 5, edited by J. de Boer and G. E. Uhlenbeck, North-Holland Publishing Co., Amsterdam and London, 1970; see § III. In the second and third editions of their book Chapman and Cowling accept the latter correction but not the former.

2. Truesdell C.,A New Definition of a Fluid, U. S. Naval Ordnance Laboratory Memorandum 9487, January 5, 1948. See Equation (68).

3. Truesdell C.,On the differential equations of slip flow, Proc. Nat. Acad. Sci., U.S.A.,34 342–347 (1948). See Equation (14).

4. Truesdell C.,A new definition of a fluid, II. The Maxwellian fluid, J. Math. Pures Appliquées (9)30, 111–158 (1951). See Equations (30.7).

5. Edelen D. G. B. andMcLennan J. A.,Material indifference, a principle or a convenience, Intl. J. Engng. Sci.11, 813–817 (1973).

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