Conclusions
TIP gives a formula that agrees well with Knudsen's results [1] for small Knudsen numbers. The energy σ'V/pV is the amount of heat produced in unit mass of fluid from dissipation of the kinetic energy.
References
M. Knudsen, Ann. d. Phys.,31, 205, 633, 1910;33, 1435, 1910.
B. V. Deryagin and S. P. Bakanov, DAN SSSR,144, no. 3, 1962.
L. D. Landau and E. M. Lifshitz, Mechanics of Continuous Media [in Russian], Moscow, GITTL, 1953.
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Suetin, P.E. A thermodynamic theory of the thermomolecular pressure difference in wide capillaries. Soviet Physics Journal 9, 117 (1966). https://doi.org/10.1007/BF00818197
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DOI: https://doi.org/10.1007/BF00818197