1. Fluid Control Equation
The numerical calculation of the double arc helical gear pump in Fluent needs to follow the basic law of fluid conservation. Its internal flow field is a viscous and incompressible unsteady flow, and its flow control equation is:

(1) Continuity equation:

For this hydraulic oil, it can be simplified as:

(2) Energy equation
Navier Stokes equation: for incompressible fluids, it can be obtained that:

2. Solid control equation
The pump body and rotor of a double arc helical gear pump are assumed to be rigid bodies, without considering elastic deformation. The equation is:

In the formula, d is the acceleration, σ It is Cauchy stress.