Abstract
Bearing in mind the results of the previous chapters, we are in a position to construct extended thermodynamical models of various media, whose description requires the appearance of fields reflecting a substantial deviation from the thermodynamical equilibrium. We devote the present chapter to the extended thermodynamics of ideal dilute gases based on the field equations for 13 fields of mass, momentum and energy densities, the stress deviator, and the heat flux. We expect these field equations to have the same structure as those following from the kinetic theory indicated in the remark 5.1. The transfer equations of the kinetic theory, namely (5.110), (5.114), (5.120), and the equation for the third moment of the Boltzmann equation not quoted in this remark, were introduced by H. Grad (1958) (the so-called 13-moment approximation), and it has been firmly established that these equations reflect the transport phenomena in dilute gases quite well.
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© 1998 Springer-Verlag Berlin Heidelberg
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Wilmański, K. (1998). Ideal Gases. In: Thermomechanics of Continua. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58934-8_7
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DOI: https://doi.org/10.1007/978-3-642-58934-8_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63797-1
Online ISBN: 978-3-642-58934-8
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