Critical velocity of fluid-conveying pipes resting on two-parameter foundation

Analytical expressions are derived for computation of critical velocity of a fluid flowing in a pipeline and resting on a two-parameter foundation like the Pasternak foundation. Fourier series and Galerkin methods have been utilized in computing the results for three simple boundary conditions, namely: pinned–pinned, pinned–clamped and clamped–clamped. Results are presented for varying values of both the foundation stiffness parameters and comparison is made with available literature for the case of the second parameter equal to zero, and new results are presented for varying values of the second foundation parameter. Interesting conclusions are drawn on the effect of the foundation parameters on the critical flow velocity of the pipeline.