Abstract
In this work theoretical study is carried out to the effect of heat flux on induced
vibrations from a fluid flow in a simply and flexible supported pipe with a
restriction.The water flow in the pipe is assumed to be fully developed region . The
dynamics of a pipe conveying fluid is described by the transfer matrix approach. It
provides a numerical technique for solving the equations of motion of forced and free
vibrations for simply and flexible support .The pipe is divided into (21) nodes and (20)
element along its length.Then, from the pipe analysis equation, a fortran Language
computer program has been built to embrace the theoretical and analytical work. And
then to ensure that the program developing is suitable, it has been compared with
another program called (ANSYS Ver.9) which it use FEM.The Obtained results show
that the transfer matrix method is a suitable technique to compute the eigen modes in
addition to the natural frequency of vibration systems.From this research it has been
found that the heat flux affects the natural frequencies and the amplitude of vibration .
So the increasing the thermal force results in the decreasing of the magnitude of the
natural frequencies. The amplitudes of vibration along the pipe increase as the excitation
frequency is so close to the natural frequencies of the system, and this effect is
predominate than the effect of the heat flux .
Keywords
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