The mass, momentum and energy equations for heterogeneous flow systems

✍ Scribed by G. Standart

• Publisher: Elsevier Science
• Year: 1964
• Tongue: English
• Weight: 753 KB
• Volume: 19
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(64)85033-8

✦ Synopsis

Exact macroscopic equations are derived for the conservation of mass, mass of constituent, momentum and energy in heterogeneous systems. By the use of integral transformation theorems generalized for such systems, these equations are transformed to the corresponding local forms of differential equations of continuity in each phase and of local surface "phase invariants". The integral form of Bernoulli's equation and of the lirst law of thermodynamics are then derived from the former local form; by use of the latter, these relations are then brought to a form independent of the absolute velocity of the phase boundary in the heterogeneous system. Explicit expressions are found for the rate of dissipation of mechanical energy in such systems. The results are applied to the special case of steady one-dimensional co-current flow of two fluid phases.