Related Experiment Video
Updated: May 17, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Relation of exact hydrodynamics to the Chapman-Enskog series
Florian Kogelbauer1, Ilya Karlin1
1ETH Zurich, Department of Mechanical and Process Engineering, 8092 Zurich, Switzerland.
Abstract:
We demonstrate that the Chapman-Enskog series is locally equivalent to the exact spectral closure defined on slow kinetic eigenmodes in the limit of vanishing Knudsen number. We further show that the Chapman-Enskog series diverges everywhere except at the global equilibrium for an explicit example, while the exact spectrally closed hydrodynamics are defined globally for any Knudsen number. The divergence of the Chapman-Enskog series is closely related to the existence of a critical wave number for the hydrodynamic eigenvalue.
More Related Videos
10:03Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
Published on: October 5, 2018
11:51Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Related Concept Videos
Dimensionless Groups in Fluid Mechanics
Typical Model Studies
Correlation of Experimental Data
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity, and...
Major Losses in Pipes
Fluid flow can be classified as laminar or turbulent, primarily based on the Reynolds number. This dimensionless number reflects the relative influence of inertial to viscous...
Steady, Laminar Flow Between Parallel Plates
Uniform Depth Channel Flow