Separation of Multiphase, Multicomponent Systems || Conservation Laws and Equations of State

✍ Scribed by Sinaiski, Emmanuil G.; Lapiga, Eugeniy J.

• Publisher: Wiley-VCH Verlag GmbH & Co. KGaA
• Year: 2007
• Weight: 275 KB
• Category: Article
• ISBN: 3527406123
• DOI: 10.1002/9783527611386.ch5

✦ Synopsis

1. I retain the original terminology here. In Russian scientific literature, the Gauss's theorem is called the Gauss-Ostrogradsky theorem. -VF

Let us turn now to derivation of the momentum conservation equation. We will need a formula following from (5.7) and (5.12):

According to a postulate called the Cauchy's stress principle, for any closed surface S there is a distribution of the stress vector t with resultant and moment, equivalent to a force field acting on the continuum in volume V enclosed by a sur-5.1 Isothermal Processes 59 5.2 Non-isothermal Processes 61 Dr i Dt þ ' Á ðr i u i Þ ¼ r i : ð5:41Þ 5.3 Multi-Component Mixtures 65