Effect of Design Parameters and Support Conditions on Natural Frequency of Pipe Excited by a Turbulent Internal Flow

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Najdat Nashat Abdulla
Adnan Naji Jamel
Wijdan Kadhem Saheb

Abstract

In this study, the effect of design parameters such as pipe diameter, pipe wall thickness, pipe material and the effect of fluid velocity on the natural frequency of fluid-structure interaction in straight pipe conveying fully developed turbulent flow were investigate numerically,analytically and experimentally. Also the effect of support conditions, simply-simply and clamped-clamped was investigated. Experimentally, pipe vibrations were characterized by accelerometer mounted on the pipe wall. The natural frequencies of vibration were analyzed by using Fast Fourier Transformer (FFT). Five test sections of two different pipe diameters of 76.2
mm and 50.8 mm with two pipe thicknesses of 3.7 mm and 2.4 mm and two pipe materials,stainless steel and polyvinyl chloride PVC in the range of Reynolds numbers from 4*104 to 5*105 were studied. Mathematically, the governing continuity and momentum equations were solved numerically by using the finite volume method to compute the characteristics of two dimensional turbulent flow. The dynamics of a pipe conveying fluid was described by the Transfer Matrix Method (TMM) which is provides a numerical technique for solving the equations of pipe vibrations for simply-simply and clamped supports. The results showed that,the natural frequencies increase with pipe diameter increase and the natural frequencies slightly increases with pipe wall thickness increase. Also, the natural frequencies in clamped-clamped supported pipe are higher than those in simply-simply supported pipe.

Article Details

How to Cite
“Effect of Design Parameters and Support Conditions on Natural Frequency of Pipe Excited by a Turbulent Internal Flow” (2013) Journal of Engineering, 19(07), pp. 906–922. doi:10.31026/j.eng.2013.07.11.
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Articles

How to Cite

“Effect of Design Parameters and Support Conditions on Natural Frequency of Pipe Excited by a Turbulent Internal Flow” (2013) Journal of Engineering, 19(07), pp. 906–922. doi:10.31026/j.eng.2013.07.11.

Publication Dates

References

Beards C. E., “Structural Vibration: Analysis and Damping”, New York: Halsted Press, 1996.

Blevins R. D., Flow Induced Vibrations. Van Nostrand Reinhold Ltd, New York, 1977.

Chang J.S. and Chiou W.J., “Natural Frequencies and Critical Velocities of FixedFixed Laminated Circular Cylindrical Shells Conveying Fluid”, Journal of Computers and Structures, Vol.57, No.5, pp.929-939, 1995.

Francis, “Mechanical Vibration, Theory and Application”, 3rd Edition, Addison-Wesley, USA, 1983.

Mahdi A.A., “The Effect of Induced Vibration on a Pipe with a Restriction Conveying Fluid,” Ph.D., Thesis, university of technology, 2001.

Mousa A., “Exact Solutions for the Vibration of Circumferentially Stepped Orthotropic Circular Cylindrical Shells”, Comptes Rendus Mecanique 339, pp.708–718, 2011.

Paidoussis M. P., Fluid-Structure Interactions: Slender Structures and Axial Flow V1. Academic Press, Amsterdam, the Netherlands, 1998.

See Seo Y., Jeong W.B., Jeong S.H. , Yoo W.S., and Jeong O.K. , “Frequency Response Analysis of Cylindrical Shells Conveying FluidUsing Finite Element Method”, Journal of Mechanical Science and Technology, Vol. 19, No.2, pp. 625-633, 2005.

Tennekes H., and J. L Lumley, A First Course in Turbulence. MIT Press, Cambridge, 1972.

Wang L., Dai H.L., Qian Q., “Dynamics of Simply Supported Fluid-Conveying Pipes with Geometric Imperfections”, Journal of Fluids and Structures 29, PP. 97–106, 2012.

Wang X., and Zhang N., “Numerical Analysis of Heat Transfer in Pulsating Turbulent Flow in a Pipe”, International Journal of Heat and Mass Transfer 48 (2005) 3957–3970.

Yousif A. E., Jweeg M. J., and Ismail M.R. “Closed-Form Solution for Evaluating the Principal Instability Regions for Conservative Pipes Conveying Pulsating Flowing Fluid”, Transactions of the ASME November pp.11-17, 2011.

Yan-Lei Zhang and Li-Qun Chen, “Internal Resonance of Pipes Conveying Fluid in the Supercritical Regime”, Nonlinear Dyn. , 67, pp.1505–1514, 2012.

Yi-Min H., Li B., Li Y. And Yue Z., “Natural frequency Analysis of fluid Conveying Pipeline with Different Boundary Conditions,” Nuclear Eng. And Design Vol.240, 461-467, 2010

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