Application of Method-of-Lines to Charging-Up Process in Pipelines with Entrapped Air

Introduction The initial charging-up process is an important opera-tion in an intermittent,undulating pipeline system.Re-cently,the charging-up process has received attention with the aim of predicting the effective duration of supply in different regions…     

Transient Flow in Rapidly Filling Air-Entrapped Pipelines with Moving Boundaries

Introduction Transient fluid flow in rapidly filling undulating pipe-lines with entrapped air is of practical interest in many areas,including water supply systems,sewer systems,and oil pipelines,and has received an increasing amount of attention recently…