We present a numerical code for calculating transient flow in plastic pipes, especially in the polyethylene pipe, to analysis transient flow in a viscoelastic pipe such as polyethylene. The set partial differential equations to be solved is obtained using conservation laws and behavior for the fluid and the pipe wall, associated with constitutive equations of the two media. A global digital processing is achieved using the method of characteristics. The results obtained are in good agreement with those found in the literature.

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This research is devoted to theoretical and numerical models of transient shear stress in a transient laminar flow over the pipe wall. This work is an elementary method of the model Prado et al, which the base is on the expansion of velocity profiles ofthe flow in polynomial series of a radial space at acroass the right section of pipe. The set equations is derived from mass and momentum conservation laws. The system partial derivatives equations obtained is hyperbolique and suitable by the method of characteristics. This model is approved with the experimental results of Holmboe et al, and, Vardy et al. This digital code can be possible to join it in any tools, to simulateand to controle water hammer in pipe.

This study provides a theoretical and numerical modelling of shear stress due to the friction of transient laminar flow on pipe wall. This work is a simplified model of Prado et al.