Science and Technology of Nuclear Installations

Research Article

A Derivation of the Nonlocal Volume-Averaged Equations for Two-Phase Flow Transport

Table 1

Conservation terms.
Conservation principle 𝜓 𝑘 𝐷 𝑘 f
Mass100
Momentum 𝑈 𝑘 𝑝 𝑘 𝐼 − 𝜏 𝑘 𝑔 𝑘
Energy 𝑒 𝑘 − 𝑝 𝑘 / 𝜌 𝑘 𝑞 𝑘 − 𝑝 𝑘 𝐼 − 𝜏 𝑘 ⋅ 𝑈 𝑘 𝑔 𝑘 ⋅ 𝑈 𝑘 + 𝑞 𝑘 / 𝜌 𝑘
Note: 𝑒 𝑘 = ℎ 𝑘 + 𝑈 2 𝑘 / 2 is the total specific energy for the 𝑘 phase, where ℎ 𝑘 is the enthalpy.
𝑞 𝑘 denotes the heat flux vector for the 𝑘 phase.