تقرير
Analytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sections
| العنوان: | Analytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sections |
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| المؤلفون: | Moroz, O. |
| المصدر: | Comput. Fluids 90, 9 (2014) |
| سنة النشر: | 2014 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Fluid Dynamics |
| الوصف: | Using Mathematica package, we derive analytical closed-form expressions for the shear and the bulk viscosity coefficients in multicomponent relativistic gases with constant cross sections, being the relativistic generalization for the hard spheres model. Some of them are cumbersome and require symbolic manipulations in an algebraic package. The constant cross sections are of the elastic processes, while the inelastic (or number-changing) processes (collisions or decays) are considered only partly. As examples, we find explicit expressions of the correct single-component first-order shear viscosity coefficient and some explicit analytical results for the binary mixture. These formulas have numerous applications in approximate nonequilibrium descriptions of gases of particles or quasiparticles with averaged (temperature dependent) cross sections. In addition to this, we present formulas for collision rates and some other related formulas. This paper is a shortened version of a previous one. Comment: 32 pages; the version accepted to Computers & Fluids. arXiv admin note: substantial text overlap with arXiv:1301.6670, arXiv:1112.0277 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.compfluid.2013.11.014 |
| URL الوصول: | http://arxiv.org/abs/1402.2240 |
| رقم الأكسشن: | edsarx.1402.2240 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.compfluid.2013.11.014 |
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