For reference, the transport equations for the fluid dynamics model expressed in vector notation (including electromagnetic sources) are presented below.
Conservation of Mass
 | (9–33) |
Conservation of Linear Momentum
 | (9–34) |
where 
denotes the sources
of momentum arising from the electromagnetic forces and is given by:
 | (9–35) |
Conservation of Energy
 | (9–36) |
Where:
is the total
enthalpy, related to the static enthalpy 
by:
(9–37)
The term
represents the work due to viscous stresses and is called the viscous
work term.The term
represents the work due to external momentum sources
and is currently neglected.The term
represents the momentum
source.The term
represents
the energy source due to resistive heating and is given by 
.