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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.

A numerical modeling of a profile velocity and Shear stress in transient flow applied in industrial technology