Dynamic response of unhomogeneously viscoelastic fluid lines

A model in transfer matrix representation is derived for the dynamic response of inhomogeneous viscoelastic fluid lines. The line wall is assumed to be linear, sufficiently long and inhomogeneous viscoelastic with respect to the longitudinal and circumferential directions while the fluid to be homogeneous, viscous, compressible and its motion to be laminar and axisymmetric. Methods for determining the mechanical properties of the line wall are proposed. Experimental investigation is made on a thick wire reinforced hydraulic flexible hose which exhibits inhomogeneous viscoelastic behavior. The comparisons of theoretical and experimental results are made on the transfer matrix parameters and frequency response, and consequently the validity of the model is proved