An integral formulation of hydrodynamics

✍ Scribed by A. Muriel; M. Dresden

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 839 KB
• Volume: 101
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(96)00181-9

✦ Synopsis

An alternate formulation of hydrodynamics is introduced, based on a formal development using projection techniques. A time evolution equation for the single particle distribution function which no longer contains any projection operator is derived, from which hydrodynamic variables are calculated. The resulting formulas for density, fluid velocity, and thermal energy do not satisfy any of the familiar differential equations for the variables. However, it is possible to relate the solutions to the conventional differential equations of hydrodynamics after a set of common assumptions are used. This reduction procedure automatically identifies calculable expressions for the transport coefficients, none of which exhibit divergent behavior as in older studies. We also find an expression for the pressure tensor. We conclude with an outline of a general program that completely bypasses kinetic or conventional continuum hydrodynamics.