Basic Theory of Fluid Structure Coupling for Double Arc Helical Gear Pump

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.

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