Basic governing equations of spiral bevel gear pair in fluid domain

The spiral bevel gear pair involved in the calculation is placed in a given reduction gearbox. If the wind shield is not installed, the fluid domain is the closed area between the spiral bevel gear pair and the gearbox. If the reduction gearbox is equipped with a wind shield, the fluid domain is the sum of the area between the spiral bevel gear pair and the wind shield and the area between the wind shield and the gearbox. For the above two cases, transient analysis is used to solve the flow field. The basic control equation of fluid domain in the reducer is as follows.

1) Mass conservation equation

or

Where, t is the time, in s; ρ Is the density in kg/m3.

In the solution process, assuming that the air is incompressible, the equation can be written as:

2) Momentum conservation equation

The following component expression (tensor representation) is usually used:

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