## Abstract

The correlation theory of the thermal hydrodynamic fluctuations of compressible viscous fluids within a spherical pore has been developed. The fluctuation motions ape described by the linearized Navier-Stokes and heat transfer equations, containing spontaneous viscous stresses and heat fluxes. The exact expressions for the spectral densities of velocity and mass density col relation functions are found as well as the dynamical structure factor. The results depend on cavity size, thermodynamic and kinetic parameters of fluid and differ essentially from the case of unrestricted fluid. Long-time oscillations of velocity autocorrelation function, the frequency spectra, and the coefficient of self-diffusion are also discussed.

Original language | English |
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Pages (from-to) | 725-745 |

Number of pages | 21 |

Journal | Nuovo Cimento Della Societa Italiana di Fisica. D: Condensed Matter Atomic Molecular and Chemical Physics Fluids Plasmas Biophysics |

Volume | 19 |

Issue number | 5 |

Publication status | Published - May-1997 |

## Keywords

- SMALL PARTICLE
- DIFFUSION
- SPHERE
- MODEL
- FLOW