Generalized Eulerian transport equation

The Eulerian transport equations can be cast in the generalized form ... 

The general form of the Eulerian transport equation for species c mass, can the be formulated as ... 

The balance principle applied to an Eulerian CV is thus by definition expressed as a balance of accumulation, net inflow by convection and diffusion and volumetric production. The Eulerian transport equations can be cast in the generalized form ... 

The simulations of the gas-liquid flow are based on the Eulerian two fluid model originally derived by Ishii [21]. In this approach, each phase is treated as a continuum. After averaging the general transport equations, we get the following set of multi-phase conservation equations [19,22] ... 

This chapter established three important concepts that are essential for the derivation of the conservation equations governing fluid flow. First, the Reynolds transport theorem was developed to relate a system to an Eulerian control volume. The substantial derivative that emerges from the Reynolds transport theorem can be thought of as a generalized time derivative that accommodates local fluid motion. For example, the fluid acceleration vector... 

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