Calculations of Pressure Pulsations in Pipelines In Case of Non-Sinusoidal Input Flows

To calculate the pressure pulsations in pipelines in frequency domain, it is necessary to linearize the nonlinear damping function jqjq, under the condition that the flow q is periodic, but not sinusoidal. The authors have proposed an idea that two equivalent linearization coefficients should be determined in such cases. To verify the idea, the responses of pressure pulsation in a simple pipeline are calculated for several input flows, using three linearization sche~es based on this idea. The results are all in good agreement with those by Runge-Kutta-Gill integration method. HOHENCLATURE qin dimensionless input flow q dimensionless flow in pipe q fluctuating component of q QinO steady component of qin Qinj amplitude of the jth component of qin iJ!inj phase angle of the jth component of qin Qo steady component of q Qj amplitude of the jth component of q 1Jij phase angle of the jth component of q