## 9.2. Fluid Dynamics Model

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 .

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