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螺旋槽干气密封在高压、高速旋转时内部会产生一定量的热,导致密封环发生热弹变形,从而对密封性能产生影响。首先在速度滑移边界条件下,求出螺旋槽内的气膜压力和气膜速度,然后推导出气膜的无热耗散能量方程及有热耗散能量方程,进而利用气膜的压力、速度和能量方程,通过Maple和Matlab软件求解槽内气膜的温度分布。然后由热弹变形理论,求解出密封环的变形量,获得螺旋槽内气膜厚度的解析式。最后利用广义雷诺方程求出理论泄漏量,并与泄漏量的实验值进行比较。研究结果表明:随着气体从外径流入内径,槽内温度的分布规律是先升高后降低,槽根部周围温度较高;热弹变形量与温度变化的规律一致,而气膜厚度的变化趋势与之相反;干气密封中的泄漏量随变形量增大而增大,考虑热耗散有变形的泄漏量更接近于实验值。
Spiral groove dry gas seal at high pressure, high-speed rotation will produce a certain amount of heat inside, resulting in thermal deformation of the seal ring, which have an impact on the sealing performance. Firstly, under the conditions of velocity slip boundary, the pressure and velocity of the gas film in the helical groove are obtained. Then the equation of heatless dissipation and the energy equation of heat dissipation are deduced. Then the pressure and velocity of the gas film and Energy equation, through the Maple and Matlab software to solve the tank temperature distribution of gas. Then by the theory of thermal deformation, the deformation of the seal ring can be solved and the analytic formula of the thickness of the gas film in the spiral groove can be obtained. Finally, the theoretical leakage is calculated by the generalized Reynolds equation and compared with the experimental value of leakage. The results show that with the inflow of gas from the outer diameter to the inner diameter, the distribution of the temperature in the tank first increases and then decreases, and the temperature around the tank root is higher. The deformation of the bullet and the temperature change are consistent with each other. The trend is the opposite; the amount of leakage in a dry gas seal increases with the amount of deformation, and the amount of leakage with deformation that takes into account heat dissipation is closer to the experimental value.