1-D Area-Averaged Navier-Stokes Equations

The Thermal Hydraulics Module (THM) solves for conservation of mass, momentum, and energy with 1-D area averages of the Navier-Stokes equations,

(1)

(2)

(3)

where is the coordinate along the flow length, is the channel cross-sectional area, is the fluid density, is the -component of velocity, is the average pressure on the curve boundary, is the fluid total energy, is the friction factor, is the wall heat transfer coefficient, is the heat transfer area density, is the wall temperature, and is the area average bulk fluid temperature.