Fundamental statements of the phenomenological approach in non-local hydrodynamics

✍ Scribed by O.Yu. Dinariyev

• Book ID: 104142755
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 704 KB
• Volume: 63
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(99)00071-4

✦ Synopsis

A system of postulates of non-local macroscopic phenomological hydrodynamics is proposed based on the results of the microscopic theory previously obtained. Space time non.locality holds in the material relations of the theory. The implementation of an axiomatic scheme is presented for the case ofa multicomponent mixture with viscosity and thermal conduction. In this case, the classical transport laws are obtained in the limit of long waves and slow processes. It is proved that, within the framework of non-local hydrodynamics, it is possible to combine the dissipation and the finite velocity of propagation of a signal in a consistent manner. A model functional form of the kernels is proposed which satisfies all the requirements of the theory.