摘要
针对工程中密封环端面温度难以测量的情况,研究非接触式机械密封端面温度求解方法。建立有限元传热模型,对密封环传热进行正向计算,获得密封环稳态温度分布;对有限元方程进行修改,基于修改后所得计算结果使用多项式拟合与Trefftz方程近似2种方法对端面温度进行预测,并对2种方法的精度进行对比;减少已知温度节点的数量,即相当于在工程中减少热电偶的使用数量,在有限元方程中使用修改后的插值函数对剩余节点温度进行计算,并以此插值函数讨论已知温度节点数量对计算结果的影响,在确定最优值后对不同参数下的预测误差进行对比。结果表明:2种预测方法所得结果误差都随着转速的增加而增大,随密封介质温度的升高而减小,但Trefftz方程所得的预测效果要好于多项式;经过计算发现使用4插值节点所得的结果与精确解吻合良好。
The solution method of the end surface temperature of non-contact mechanical seals was researched for the case of the temperature of seal ring face is difficult to measure in the project.The finite element model of heat transfer was established, and the heat transfer of the seal ring was calculated to obtain the steady state temperature distribution.The finite element equation was modified, two methods, the polynomial fitting and Trefftz equation approximation were presented to predict the end face temperature based on the modified computed results, and the accuracy of the two methods were compared.By reducing the number of known temperature nodes, this means the reducing of the amount of thermocouple used in engineering ,the residual node temperature was calculated by using the modified interpolation function in the finite element equation.The influence of the number of known temperature nodes on the calculation results was discussed, and the prediction errors of different parameters were compared after determining the optimal value. Results show that the results obtained from the two methods are all increased with the increase of the rotating speed, and decreased with the increase of the temperature of the sealing medium, but the predicted results of the Trefftz equation are better than that of the polynomial.The results obtained by using 4 interpolation nodes are in good agreement with the exact solutions.
出处
《润滑与密封》
CAS
CSCD
北大核心
2017年第3期28-33,44,共7页
Lubrication Engineering
基金
国家自然科学基金项目(51375497)
山东省自主创新及成果转化专项(2014ZZCX10102-4)
关键词
非接触式
机械密封
热传递
non-contact
mechanical seal
heat transfer
