往复泵自动球阀的精确运动微分方程及其数值解

THE ACCURATE MOVEMENT DIFFERENTIAL EQUATION OF SELF-ACTING BALL VALVE OF RECIPROCATING PUMPS AND ITS NUMERICAL SOLUTION METHOD

综合考虑了液体可压缩性与泵阀运动的魏氏效应对液缸内液体连续流条件的影响，并考虑泵阀运动的动力特性，建立了描述往复泵自动球阀运动规律的精确运动微分方程，它是关于液缸内液体压力、泵阀升程与泵阀运动速度的一阶常微分方程组，在泵阀的整个运动周期内都不存在奇点．本文应用数值积分方法求解了该微分方程组．

The accurate movement differential equation of pump valves of reciprocating pumps established by Adolph in 1968 still is the most au thoritative model now but it is singulax when the pump valve is just at opening instantaneous state. In this paper the influence of liquid compressibility and Westphal's phenomenon of moving valve on the continuous flow condition of the liquid in the pump cylinder is not only considered systematically butalso the dynamic property of the pump valve is con sidered. And a new accurate dynamic differential equation used to describing the movement of self acting ball valves of reciprocating pumps is set up. The new equation is a differential equation set which includes the liquid pressure in the liquid cylinder. It is not singular during the whole moving period of the valve. The differential equation set is solved by numerical integration method.