Long-range dynamic correlations in a compressible viscous fluid confined in a circular tube

摘要

A set of simplified one-dimensional hydrodynamic equations proposed for the description of transient small amplitude flow of a compressible viscous fluid in a linear channel is tested by comparison with exact results for a circular tube obtained from the linearized Navier-Stokes equations. There is a qualitative agreement between the approximate and exact results, but for the simplified calculation the amplitude of the algebraic long-time tail is a factor of 2 too small.