Vibration Analysis of Sudden Enlargement Pipe Conveying Fluid with Presence of Heat Flux

The vibrated pipe conveying fluid with sudden enlargement and exposed to heat flux is studying in this paper. The governing equations of motion for this system are derived by using beam theory. The effect of external force that applied at the mid length (at the enlargement) of the pipe is studied. The transfer matrix method is a technique that used in this study. From this technique it can be compute the natural frequencies, mode shapes, deflection, slope, bending moment, shear force, velocity, and pressure for different cases of pipe conveying fluid (with and without heat flux), also the effect of forced vibration on these parameter are presented. Different types of supports are used to show the effect of changing the support's type on the behavior of this system at different fluid velocities and heat flux. Also the effect of change the values of fluid velocities and heat flux on the Coriolis and compressive force are studied. The results of this study are compared with the results that found from ANSYS program, also another comparison is made with the last investigation. Those comparisons show good agreement.