International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Jabbar. H. Mohmmed*, Mauwafak A. Tawfik, Qasim Abbas Atiyah

Mechanical Engineering Department, University of Technology Industrial St., Al-Karrada City, Baghdad Province, Iraq


 

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ABSTRACT


This study treats with the transverse vibration of polypropylene random-copolymer (PP-R) pipes caused by fluid flow inside them assuming pinned connections at both ends. The effect of inclination angle, aspect ratio (the ratio of length to outside diameter) and temperature variation on dynamic response of inclined pipe containing flowing fluid with different velocity was investigated. The Euler–Bernoulli formula for beam theory was adopted to model the inclined pipe. An analytical model has been prepared to calculate the dynamic response of the pipe, taking into account pipe weight, thermal effect, inclination angle, aspect ratio, and fluid flow velocity, using the integral transform techniques (ITT) by utilizing a combining of Laplace and Fourier transforms and their inverses. The results demonstrate that the prepared analytic model is a powerful tool to obtain the dynamic characteristic of pipe conveying fluid. Moreover, the results showed that the dynamic deflection was strongly affected by the change in the values of inclination angle, pipe temperature, aspect ratio, and fluid velocity, where there was a significant increase in pipe deflection with increasing temperature and aspect ratio. and fluid velocity, while a decrease in the deflection value is observed with an increase in the angle of inclination in the range of 0-90°. The findings proved that the thermal effect becomes more important than the fluid velocity at high aspect ratios. The same case applies to the angle of inclination, as its effect on the pipe deflection increases at high aspect ratios. These results were limited to the fundamental (first) mode and can be useful for engineering component design. The main contributions of this work are to find the combined effect of inclination angle, thermal loading, and aspect ratio on the deflection of the pipe, in addition to preparing an analytical model to calculate this deflection.


Keywords: Flow velocity, Dynamic response, Temperature variation, Finite Fourier sine transforms, Laplace transforms, inclined pipe conveying fluid.


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REFERENCES


  1. Ali, M., Alshalal, I., Mohmmed, J.H. 2021. Effect of the torsional vibration depending on the number of cylinders in reciprocating engines, International Journal of Dynamics and Control, 9, 901–909.

  2. Alshalal, I., Ali, M., Mohmmed, J.H., Rashed, A.A. 2021. Frequency response function curvature technique to detect damage for simply supported beam under harmonic excitation, AIP Conference Proceedings, 2386.

  3. Ameen, K.A., Al-Dulaimi, M.J., Hatem, A.A. 2019. Experimental study of vibration on pipe conveying fluid at different end conditions for different fluid temperatures, Engineering and Technology Journal, 37, 512–515.

  4. Amini, Y., Heshmati, M., Daneshmand, F. 2020. Dynamic behavior of conveying-fluid pipes with variable wall thickness through circumferential and axial directions, Marine Structures, 72.

  5. Ashley, H., Haviland, G. 1950. Bending vibration of a pipe line containing flowing fluid, Journal of Applied Mechanics.

  6. Askarian, A.R., Permoon, M.R., Shakouri, M. 2020. Vibration analysis of pipes conveying fluid resting on a fractional Kelvin-Voigt viscoelastic foundation with general boundary conditions, International Journal of Mechanical Sciences, 179.

  7. Cao, J., Liu, Y., Liu, W. 2018. The effect of two cases of temperature distributions on vibration of fluid-conveying functionally graded thin-walled pipes, Journal of Strain Analysis.

  8. ElNajjar, J., Daneshmand, F. 2020. Stability of horizontal and vertical pipes conveying fluid under the effects of additional point masses and springs, Ocean Engineering, 206.

  9. Feodos’yev, P., 1951. Vibrations and stability of a pipe when a liquid flows through it, Znzhenernyi Sbornik, 10, 169.

  10. Hill, J.L., Swanson, C.P. 1970. Effects of lumped masses on the stability of fluid conveying tubes, Journal of Applied Mechanics, 37, 494–497.

  11. Housner, G.W. 1952. Bending vibration of a pipe line containing flowing fluid, Transactions of the ASME Journal of Applied Mechanics, 19, 205–208.

  12. Huang, Q., Lin, T., Safarpour, M. 2020. Flow-induced vibration attenuation of a viscoelastic pipe conveying fluid under sinusoidal flow using a nonlinear absorber, Mechanics Based Design of Structures and Machines.

  13. Jiang, T., Dai, H., Wang, L. 2020. Three-dimensional dynamics of fluid-conveying pipe simultaneously subjected to external axial flow, Ocean Engineering, 217.

  14. Jweeg, M.J., Mohammad, Z.I. 2010. Vibration characteristics of different cross-section pipes with different end conditions, Engineering and Technology Journal, 28, 1634–1654.

  15. Jweeg, M.J., Ntayeesh, T.J. 2016. Determination of critical buckling velocities of pipes conveying fluid rested on different supports conditions, International Journal of Computer Applications, 134, 34–42.

  16. Kutin, J., Bajsić, I. 2014. Fluid-dynamic loading of pipes conveying fluid with a laminar mean-flow velocity profile, Journal of Fluids and Structures, 50, 171–183.

  17. Li, B., Wang, Z., Jing, L. 2018, Dynamic response of pipe conveying fluid with lateral moving supports, Shock and Vibration, 2018, 1–17.

  18. Li, B., Wang, Z., Jing, L. 2018. Dynamic response of pipe conveying fluid with lateral moving supports, Shock and Vibration.

  19. Liang, F., Gao, A., Yang, X.D. 2020. Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans, Applied Mathematical Modelling 83, 454–469.

  20. Lu, Z.Q., Zhang, K.K., Ding, H., Chen, L.Q. 2020. Internal resonance and stress distribution of pipes conveying fluid in supercritical regime, International Journal of Mechanical Sciences 186.

  21. Marakala, N., Appu Kuttan, K.K., Kadoli R. 2009. Experimental and theoretical investigation of combined effect of fluid and thermal induced vibration on vertical thin slender tube, Journal of Mechanical and Civil Engineering, 7, 63–68.

  22. Mohmmed, J.H., Tawfik, M.A., Atiyah Q.A. 2021. Natural frequency and critical velocities of heated inclined pinned PP-R pipe conveying fluid, Journal of Achievements in Materials and Manufacturing Engineering, 107, 15–27.

  23. Nejadi, M.M., Mohammadimehr, M., Mehrabi, M. 2021. Free vibration and stability analysis of sandwich pipe by considering porosity and graphene platelet effects on conveying fluid flow, Alexandria Engineering Journal, 60, 1945–1954.

  24. Oke, W.A., Khulief, Y.A., 2020. Dynamic response analysis of composite pipes conveying fluid in the presence of internal wall thinning, Journal of Engineering Mechanics, 146, 1–11.

  25. Paidousiss, M.P. 2008. The canonical problem of the fluid-conveying pipe and radiation of the knowledge gained to other dynamics problems across applied mechanics, J. Sound Vib., 310, 462–492.

  26. Païdoussis, M.P. 2014. Fluid structure interactions: Slender structures and axial flow, 1. Academic Press, London.

  27. Tawfik, M.A., Kadhim, Z.K., Hammoudi, R.Y. 2009. Vibration analysis of sudden enlargement pipe conveying fluid with presence of heat flux, Engineering and Technology Journal, 27, 533–557.

  28. Thomson, W.T. 1988. Theory of vibration with applications, Unwin Hyman Ltd, London.

  29. Wang, Y., Wang, L., Ni, Q., Dai, H., Yan, H., Luo, Y. 2018. Non-planar responses of cantilevered pipes conveying fluid with intermediate motion constraints, Nonlinear Dynamics, 93, 505–524.

  30. Zhai, H., Wu, Z., Liu, Yue, Y., Z. 2013. In-plane dynamic response analysis of curved pipe conveying fluid subjected to random excitation, Nuclear Engineering and Design, 256, 214–226.


ARTICLE INFORMATION


Received: 2021-05-11
Revised: 2021-08-25
Accepted: 2021-09-07
Available Online: 2021-12-01


Cite this article:

Mohmmed, J.H., Tawfik, M.A., Atiyah, Q.A. 2021. Dynamic response of inclined pipe conveying fluid under thermal effect. International Journal of Applied Science and Engineering, 18, 2021133. https://doi.org/10.6703/IJASE.202112_18(6).003

  Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.


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