Abstract
In this article, the influences of uniform velocity profile, mass ratio, length and Winkler elastic foundation on the static instability of pipe conveying incompressible fluid are investigated. The Euler-Bernoulli beam theory is employed to derive partial differential equation of pipes carrying fluid. The results were carried out using ANSYS Workbench program, where the analysis is based on the numerical solution; using Finite element method to formulate both the pipe structure and fluid flow equations. The numerical approach is based on some research and analytical models. The natural frequencies of the system are attained with respect to different boundary conditions, such as pinned-pinned ends, clamped-pinned ends and clamped-clamped ends. The numerical results show satisfactory agreement with the theory of many aspects of the pipe dynamical carrying incompressible fluid were observed numerically such as, the increase in flow velocity, mass ratio and length reduced from the rigidity of the system and consequently the proper modes. Winkler elastic foundation has a stabilizing effect on the system.
Highlights
The problem of pipes conveying fluid has very important role in various industrial applications
The first study that took care of this topic was by the researcher (Housener, 1952), where he studied the effect of internal flow on the tube behavior (Housener, 1952). It is followed by researcher (Paidoussis, 1998; 2004) who published two books in which he collected his various researches with analytical and experimental results, linear and non-linear motion equations using as well as factors affecting this behavior as flow velocity, mass ratio, length, pressure, extension force, gravity and elastic foundation
The mathematical model idealizes a segment of the pipeline as an elastic beam conveying an incompressible fluid, the results from this study revealed that a continuity profile exists to connect the subcritical, critical and post-critical vibratory behaviors when the absolute values are plotted for any velocity
Summary
The problem of pipes conveying fluid has very important role in various industrial applications. We find some research which has incorporated such concepts and analysis similar to (Doaré and de Langre, 2002) in reference; he presented analytical models by calculating the critical velocities of fluid and through it he determined static instability (buckling) and dynamic instability (flutter). He followed his research with another work in 2006 dealing with his topic the role of boundary conditions in the instability of onedimensional systems by utilizing a local wave equation (Doaré and de Langre, 2006).
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: American Journal of Engineering and Applied Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
