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| THE ANALYSIS OF CRITICAL FLOW VELOCITIES OF PIPES CONVEYING FLUID FOR THE BOUNDARY CONDITIONS RELAXATION |
| JIN Ji-duo, ZHANG Yu-fei, YANG Xiao-dong |
| Department of Aeronautical and Astronautical Engineering, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, China |
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Abstract The stability and critical flow velocity of a supported pipe conveying fluid are analyzed. The both ends of the pipe are held by the pinned supports with torsional spring constraints. The stability of the fluid-conveying pipe is analyzed using the eigenvalues and eigenfuntions of a beam that has the same boundary conditions as the pipe. Using some numerical method, it is shown that the supported pipe conveying steady flow with the boundary conditions under consideration loses stability first by divergence always. According to the explicit expression derived for the critical flow velocity of the pipe, the effect of some physical parameters of the system, such as the spring constant, gravity and tension, on the values of the critical flow velocity is discussed.
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Received: 15 October 2008
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2009, Vol. 28 
