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Thermal-Hydraulics of Water Cooled Nuclear Reactors by Francesco D'Auria

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5.8.2.3 Energy balance of phase k

Time derivative term

Let us define the mass-weighted phase space average enthalpy: Hkk=ρkhkkSρkˆksi385_e

Akρh+v22tdA=Ak<ρkhk+vk22>kt=ARkρkˆkHkk+Vkk22t

si386_e

An approximation was necessary for the kinetic energy term:

<ρkvk22>kρkˆkVkk22

si387_e

Advection term

Ak·ρvh+v22dA=ARkρkvkzhkkSz+ARkρkvkzvk22kSz+MHik+ECikARkρkˆkVkkHkk+Vkk22z+ARkqkzdz+MHik+ECik

MHik and ECik are the volumetric energy transfer through ...

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