Transient Response of Fluid Viscoelastic Lines

Abstract

Basic relations and method of solution are given for laminar transient flows in linear viscoelastic circular fluid transmission lines. Using a numerical method to invert the Laplace-Carson transforms, basic step response plots are given for semi-infinite liquid-lines. The method can be immediately applied to any practical problem with linear or explicitly time dependent boundary conditions. Analytical expressions are given for the behavior at the wave front and for large values of time. Also derived are classical parameters characterizing the frequency response.