Abstract- This paper deals with the mathematical model and Computational analysis of flow induced vibration of Rocket Engine Test Facility. In this set up, the main components of piping elements which causes vibration is angle type valve. Experimental study and analysis of flow induced vibration is to be carried out by study the effect of turbulence of gas flow in the piping system during the course of sub cooling of flight static fire test or flow trial. Mathematical Model of pinned-pinned pipe carrying fluid has been developed. Governing Equation of motion for pipe conveying fluid of real system has been derived. The critical fluid velocity has been calculated by analytical approach.The vibration structure of pipeline is modeled by using CATIA software as per specifications and the effect of turbulence of gas flow in the piping element is analysed byusing Fluent and ANSYS software. The main piping element which causing Flow Induced Vibration is angle type valve. Analytically and computationally the dynamic behavior of fluid flow through this valve is studied. Modal Analysis has been carried out and found the natural frequency of six mode shape. Experimental studies/flow trials are to be carried out to validate the analytical and computational results.Keywords: Flow Induced Vibration, Mathematical model,Frequency, ANSYS, Fluent, Computational analysis1. INTRODUCTIONThe failure of components or parts occurred by the reversal cyclic stress which is well below the yield stress of the material. This type of failure is called a fatigue. The vibration of structure or components is subjected to cyclic stress and that will lead to Fatigue failure. The vibration caused by a fluid flowing in or around a body is known as Flow Induced Vibration (FIV). FIV best describe the interaction that occurs between the fluid's dynamic forces and a structure's inertial, damping and elastic forces.
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