Abstract
Until recently, almost all investigations of unsteady fluid flow in pipes involved Hooke deformation. Flow conditions in pipes made from materials with viscoelastic and relaxation properties have received little attention [1–3], Because of the rapid utilization of new polymer materials, the study of fluid motion in pipes made of non-Hooke materials is of definite practical and theoretical interest. An experimental and theoretical investigation of hydraulic shock with stream separation has been carried out in [4]. Below, the deformation of pipes in which perturbation waves of an elastic liquid propagate is described using a Boltzmann-Volterra elastic-memory theory, which gives a good description of the strength of many polymer materials and metals [5–7]. The problem is solved by means of integral transformations and discontinuous waves.
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