Study on Hydromechanics with Critical Instability Flowrate of Two Ends Supported Pipe Conveying Fluid

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Abstract:

The expression of vertical vibration mode-function of fluid conveying pipe supported elastically on two ends was derived from the boundary conditions of similarly supported beam. The dynamic stability of pipe conveying fluid with the same supporting conditions was invesigated and the expression of its critical instability flowrate was obtained. The effects of fluid pressure and axial force of pipe section on critical instability flowrate were calculated and analyzed based on the eigenequation. The numerical results showed that the critical instability flowrate were proportional to axial drawn force, but proportional conversely to fluid pressure and axial pressed force of pipe section. The critical instability flowrate of fluid conveying pipe varied greatly with its supporting conditions. In order to improve its value at engineering application, the axial pressed force of pipe section should be avoided.

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77-84

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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