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| Approximately estimating pressure distribution in gas lubricated spiral grooved face seal under non-isothermal conditions |
| Chen Kan1, Huang Zepei2, Yao Jin2, Zhang Zhi1 |
| 1.Sichuan Sunny Seal Co. Ltd., Chengdu, Sichuan 610045, China; 2.School of Manufacturing Science and Engineering, Sichuan University, Chengdu, Sichuan 610065, China |
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Abstract The analytical methods for estimating pressure distribution on the end face of a dry gas seal(DGS)were reviewed, and then a novel algorithm for non-isothermal conditions was proposed in this paper based on the Whipple infinite narrow-groove theory. The Tripp function was used to get a temperature profile along the radius on the end face. The heat conductivity angle of gas was selected to be 3 times the conductivity angle of liquid based on experience. To solve the adjusted Gabriel differential functions more conveniently, a curve fitting method was applied to obtain an approximate analytical function of temperature profile T(r). The differential equations were solved by using 4th-order Rung-Kutta method. Compared with the results in literature, the pressures at groove bottom pg obtained by the present method are increased by 6.8%, 5.0%, 2.7% when the film thicknesses are 5.08, 3.05, 2.03 μm, respectively. And this result is consistent with the existing pressure distribution characteristic on a DGS end face. Compared with FEA(finite element analysis), the present novel method can easily be applied in engineering.
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Received: 08 October 2012
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