Damping phenomenon at the end of the rotating pipe with a jet outflux
Global Summit and Expo on Fluid Dynamics & Aerodynamics
August 15-16, 2016 London, UK

Alexander Sergeyev

Institute for Problems in Mechanical Engineering, Russia

Posters & Accepted Abstracts: J Appl Mech Eng

Abstract:

It is well known that most equations of motion to investigate physical phenomena in the modern pipeline dynamics are derived by use of the D'Alembert principle. The pipeline dynamics deals with pipes conveying heavy fluid. The phenomena of the most interest is that the pipe systems are connected with the outflux process. It means that the pipeline system usually is an open system. Admissibility to apply the D'Alembert principle to a system of such a type today is not proven. So, it is interesting to compare the predictions of the D'Alembert procedure and the alternative approach, based on the Euler Fundamental Laws of Dynamics and reformulated by P Zhilin for an open system of an arbitrary nature. Firstly, the rectilinear rigid pipe with heavy flow was under consideration. We repeated the traditional approach to derive the equation of motion, based on the D'Alembert principle. Then we gave the procedure and result of the alternative approach. Secondly, we do absolutely the same for the semicircular open pipe. A comparison of both predictions makes obvious the fact that the D'Alembert principle does not guarantee the reliable formal statement of the problem in order to correctly describe the dynamics of an open system and the interpretation for physical phenomena in it. The alternative approach confidently shows that the damping oscillations of the open pipe, conveying heavy liquid, is related with jet loading at the end of the pipe but not with the action of the distributed Coriolis forces as it is claimed in the classical textbooks on the pipeline dynamics.

Biography :

Email: dievich@rambler.ru