Why does the high-speed mechanical seals require high perpendicularity between the end faces of the rotary face and the centerline of the shaft of the mechanical seal

The followability of the high-speed mechanical seal is poor, which leads to an increase in sealing leakage. In order to reduce the leakage, can we start our work with improving the followability of the stationary seat of the mechanical seal?
The stationary seat assembly of the high-speed mechanical seal is regarded as a resonant system, that is, the damping effect in the process of vibrating power is ignored. According to the principle of vibration, its circular frequency is:
 

To increase the circular frequency, there are two methods, one is to increase the spring stiffness iC; the other is to reduce the mass m of the stationary seat assembly of the mechanical seal. For the specific sealing structure, it is feasible to reduce the mass of the stationary seat assembly, but it will not have a greater effect. Another method that has been considered is to increase the spring stiffness. Increasing the spring stiffness is limited by the specific pressure of the spring and the amount of compression of the mechanical seal. Each mechanical seal has a certain amount of residual compression, which is at least 3~5mm, and there is another compression after installation, which is equivalent to the residual compression, so the total compression is 6~8mm. Under the pretext of the constant amount of compression, if the spring stiffness increases, the spring force and spring specific pressure of the mechanical seal will increase. From the formula in the previous section, we can see that in order to improve the followability, the circular frequency of the stationary seat assembly needs to be increased by 3 to 4 times. Since the stiffness and the circular frequency have a square root relationship, the stiffness needs to be increased to 9~16 times of the existing value. That is to say, when the amount of compression is constant, the specific pressure of the spring is increased to 9~16 times of the existing value. Since the existing spring specific pressure is 0.2~0.3MPa, not to mention such a large multiple, it is impossible to double it. Therefore, it is impossible to reduce the leakage of the mechanical seal by improving the followability of the stationary seat of the mechanical seal.

In order to achieve this goal, we have to start with reducing the vibration amplitude of the rotary face of the mechanical seal. After the rotary face is installed on the shaft, its verticality is controlled within 5μm, and the fixing method must be reliable, and it will not be changed during operation. In this way, when the followability of the stationary seat assembly is poor, the thickness of the formed liquid film is small, and the leakage can be small.
This is why high-speed mechanical seals require high perpendicularity between the end faces of the rotary face and the centerline of the shaft of the mechanical seal.

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