Roles of viscoelasticity on the transient response of a manometric pressure measurement

Abstract

A numerical model that predicts the advance of viscoelastic fluids in manometer columns used for the pressure measurement of such fluids is developed. Basic equations are derived and solutions are obtained for the viscous case (zero order) and the linearized viscoelastic case (first order) using an expansion in terms of the Deborah number based on the manometric time scale of the system. Both time-independent and fluctuating pressures are considered. Predictions of the model can be utilized to interpret correctly manometric readings in fluid systems exhibiting viscoelastic behavior.