Related Experiment Video
Updated: Aug 19, 2026

High Speed Droplet-based Delivery System for Passive Pumping in Microfluidic Devices
Published on: September 2, 2009
Kinetic derivation of the hydrodynamic equations for capillary fluids
S De Martino1, M Falanga, G Lauro
1Dipartimento di Fisica, Università degli Studi di Salerno, INFM unità di Salerno, INFN, Sezione di Napoli, Gruppo Collegato di Salerno, Via S. Allende, Baronissi (SA) I-84081, Italy. demartino@sa.infn.it
Abstract:
Based on the generalized kinetic equation for the one-particle distribution function with a small source, the transition from the kinetic to the hydrodynamic description of many-particle systems is performed. The basic feature of this interesting technique to obtain the hydrodynamic limit is that the latter has been partially incorporated into the kinetic equation itself. The hydrodynamic equations for capillary fluids are derived from the characteristic function for the local moments of the distribution function. Fick's law appears as a consequence of the transformation law for the hydrodynamic quantities under time inversion.
Related Concept Videos
Euler's Equations of Motion
Energy Conservation and Bernoulli's Equation
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
Capillarity in Fluid
Surface tension is crucial to capillarity. It results from cohesive forces between liquid molecules at the liquid-air boundary, forming a skin that resists external forces. When the capillary tube...
Bernoulli's Equation
Navier–Stokes Equations
Steady, Laminar Flow Between Parallel Plates

