تقرير
On the thermodynamics of volume/mass diffusion in fluids
| العنوان: | On the thermodynamics of volume/mass diffusion in fluids |
|---|---|
| المؤلفون: | Dadzie, S. Kokou, Reese, Jason M. |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics |
| الوصف: | In Physica A vol 387(24) (2008) pp6079-6094 [1], a kinetic equation for gas flows was proposed that leads to a set of four macroscopic conservation equations, rather than the traditional set of three equations. The additional equation arises due to local spatial random molecular behavior, which has been described as a volume or mass diffusion process. In this present paper, we describe a procedure to construct a Gibbs-type equation and a second-law associated with these kinetic and continuum models. We also point out the close link between the kinetic equation in [1] and that proposed previously by Klimontovich, and we discuss some of their compatibilities with classical mechanical principles. Finally, a dimensional analysis highlights the nature of volume/mass diffusion: it is a non-conventional diffusive process, with some similarities to the `ghost effect', which cannot be obtained from a fluid mechanical derivation that neglects non-local-equilibrium structures, as the conventional Navier-Stokes-Fourier model does. Comment: Minor typo corrections and minor additional clarifications in section IV.A |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1202.3169 |
| رقم الأكسشن: | edsarx.1202.3169 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |