Numerical Modeling of pipes conveying gas-liquid two-phase flow

Bakhtiyar Khudayarov; Kholidakhon Komilova; Fozilzhon Turaev

doi:10.1051/e3sconf/20199705022

All issues

Volume 97 (2019)

E3S Web Conf., 97 (2019) 05022

References

Open Access

Issue		E3S Web Conf. Volume 97, 2019 XXII International Scientific Conference “Construction the Formation of Living Environment” (FORM-2019)


Article Number		05022
Number of page(s)		10
Section		Hydrotechnical Construction and Melioration
DOI		https://doi.org/10.1051/e3sconf/20199705022
Published online		29 May 2019

P.A. Velmisov, A.V. Korneev, Mathematical modeling in the problem of dynamic stability of a pipeline. Automation of control Processes. Journal of science, 1, 39 (2015) [Google Scholar]
M.P. Païdoussis, The canonical problem of the fluidconveying pipe and radiation of the knowledge gained to other dynamics problems across applied mechanics, J. Sound and Vibr., 310 (2008) [Google Scholar]
M.P. Paidoussis, N.T. Issid, Dynamic stability of pipes conveying fluid .Journal of Sound and Vibration. 33, 3 (1974) [Google Scholar]
A.M. Hellum, R. Mukherjee, A.J. Hull, Dynamics of pipes conveying fluid with non-uniform turbulent and laminar velocity profiles. Journal of Fluids and Structures, 26 (2010) [Google Scholar]
L. Yin, Q. Qian, L. Wang, Strain gradient beam model for dynamics of microscale pipes conveying fluid. Applied Mathematical Modelling, 35 (2011) [Google Scholar]
Xiao-wen Zhou, Hu-Liang Dai, Lin Wang. Dynamics of axially functionally graded cantilevered pipes conveying fluid. Composite Structures, 190, 15 (2018) [Google Scholar]
S. Rinaldi, M. Paidoussis, Dynamics of a cantilevered pipe discharging fluid, fitted with a stabilizing end-piece. J. Fluids Struct. 26 (2010) [Google Scholar]
M. Paidoussis, F. Moon, Nonlinear and chaotic fluidelastic vibrations of a flexible pipe conveying fluid. J. Fluids Struct. 2 (1988) [Google Scholar]
S. Miwa, M. Mori, T. Hibiki, Two-phase flow induced vibration in piping systems. Prog. Nucl. Energy, 78 (2015) [Google Scholar]
C. An, J. Su, Dynamic behavior of pipes conveying gas–liquid two-phase flow. Nucl. Eng. Des., 292 (2015) [Google Scholar]
M. Cook, M. Behnia, Film profiles behind liquid slugs in gas–liquid pipe flow. AIChE J. 43 (1997) [Google Scholar]
A.N. Anoshkin, V.Yu. Zuyko, S.G. Ivanov, Calculation of Stress-strain State and Prediction of the Strength of Polymer Reinforced Gas Pipes. Bulletin of the Samara State University. Natural science series, 6 (2007) [Google Scholar]
E.Z. Yagubov, N.D. Tskhadaya, Z.Kh. Yagubov, Multichannel Pipelines for Oil and Gas Transportation and Recovery of Worn out Oil and Gas Pipelines.Scientific papers, 1 (2013) [Google Scholar]
Kaiming Bi, Hong Hao. Numerical simulation on the effectiveness of using viscoelastic materials to mitigate seismic induced vibrations of above-ground pipelines, Engineering Structures, 123 (2016) [Google Scholar]
Mohamed Amine Guidara, Lamjed Hadj Taieb, Christian Schmitt, Ezzeddine Hadj Taieb, Zitouni Azari, Investigation of viscoelastic effects on transient flow in a relatively long PE100 pipe. Journal of Fluids and Structures, 80 (2018) [Google Scholar]
Jiaquan Deng, Yongshou Liu, Zijun Zhang, Wei Liu, Stability analysis of multi-span viscoelastic functionally graded material pipes conveying fluid using a hybrid method. European Journal of Mechanics A/Solids, 65 (2017) [Google Scholar]
B.A. Khudayarov, F.Zh. Turaev, Mathematical Simulation of Nonlinear Oscillations of Viscoelastic Pipelines Conveying Fluid. Applied Mathematical Modelling, 66 (2019). https://doi.org/10.1016/j.apm.2018.10.008 [Google Scholar]
C. Monette, M.J. Pettigrew, Fluidelastic instability of flexible tubes subjected to two-phase internal flow. J. Fluids Struct., 19 (2004) [Google Scholar]
F.B. Badalov, Methods for Solving Integral and Integro-differential Equations of the Hereditary Theory of Viscoelasticity. Tashkent: Mekhnat (1987) [Google Scholar]
F.B. Badalov, Kh. Eshmatov, M. Yusupov, Some Methods of Solution of Systems of Integro-differential Equations Encountered in Problems of Viscoelasticity. Applied Mathematics and Mechanics, 51 (1987) [Google Scholar]
F.B. Badalov, B.A. Khudayarov, A. Abdukarimov, Effect of the hereditary kernel on the solution of linear and nonlinear dynamic problems of hereditary deformable systems. Journal of Machinery Manufacture and Reliability, 36 (2007) [Google Scholar]
B.A. Khudayarov, N.G. Bandurin, Nonlinear Oscillation of Viscoelastic Orthotropic Cylindrical Panels. Mathematical Models and Computer Simulations, 17 (2005) [Google Scholar]
B.A. Khudayarov, N.G. Bandurin, Numerical Investigation of Nonlinear Vibrations of Viscoelastic Plates and Cylindrical Panels in a Gas Flow. Journal of Applied Mechanics and Technical Physics, 48 (2007) [Google Scholar]
B.A. Khudayarov, Numerical Analysis of the Nonlinear Oscillation of Viscoelastic Plates. International Applied Mechanics, 41 (2005) [Google Scholar]
B.A. Khudayarov, Flutter of a viscoelastic plate in a supersonic gas flow. International Applied Mechanics, 46, 4 (2010) [CrossRef] [Google Scholar]
V.I. Matyash, On the Dynamic Strength of a Hinged Supported Elastic-Viscous Rod. Mechanics of Polymers, 2 (1971) [Google Scholar]
M.M. Mirsaidov, T. Z. Sultanov, Use of the linear hereditary theory of viscoelasticity in dynamic calculation of earth structures, Foundations, bases and soil mechanics, 6 (2012) [Google Scholar]

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[1] P.A. Velmisov, A.V. Korneev, Mathematical modeling in the problem of dynamic stability of a pipeline. Automation of control Processes. Journal of science, 1, 39 (2015) [Google Scholar]

[2] M.P. Païdoussis, The canonical problem of the fluidconveying pipe and radiation of the knowledge gained to other dynamics problems across applied mechanics, J. Sound and Vibr., 310 (2008) [Google Scholar]

[3] M.P. Paidoussis, N.T. Issid, Dynamic stability of pipes conveying fluid .Journal of Sound and Vibration. 33, 3 (1974) [Google Scholar]

[4] A.M. Hellum, R. Mukherjee, A.J. Hull, Dynamics of pipes conveying fluid with non-uniform turbulent and laminar velocity profiles. Journal of Fluids and Structures, 26 (2010) [Google Scholar]

[5] L. Yin, Q. Qian, L. Wang, Strain gradient beam model for dynamics of microscale pipes conveying fluid. Applied Mathematical Modelling, 35 (2011) [Google Scholar]

[6] Xiao-wen Zhou, Hu-Liang Dai, Lin Wang. Dynamics of axially functionally graded cantilevered pipes conveying fluid. Composite Structures, 190, 15 (2018) [Google Scholar]

[7] S. Rinaldi, M. Paidoussis, Dynamics of a cantilevered pipe discharging fluid, fitted with a stabilizing end-piece. J. Fluids Struct. 26 (2010) [Google Scholar]

[8] M. Paidoussis, F. Moon, Nonlinear and chaotic fluidelastic vibrations of a flexible pipe conveying fluid. J. Fluids Struct. 2 (1988) [Google Scholar]

[9] S. Miwa, M. Mori, T. Hibiki, Two-phase flow induced vibration in piping systems. Prog. Nucl. Energy, 78 (2015) [Google Scholar]

[10] C. An, J. Su, Dynamic behavior of pipes conveying gas–liquid two-phase flow. Nucl. Eng. Des., 292 (2015) [Google Scholar]

[11] M. Cook, M. Behnia, Film profiles behind liquid slugs in gas–liquid pipe flow. AIChE J. 43 (1997) [Google Scholar]

[12] A.N. Anoshkin, V.Yu. Zuyko, S.G. Ivanov, Calculation of Stress-strain State and Prediction of the Strength of Polymer Reinforced Gas Pipes. Bulletin of the Samara State University. Natural science series, 6 (2007) [Google Scholar]

[13] E.Z. Yagubov, N.D. Tskhadaya, Z.Kh. Yagubov, Multichannel Pipelines for Oil and Gas Transportation and Recovery of Worn out Oil and Gas Pipelines.Scientific papers, 1 (2013) [Google Scholar]

[14] Kaiming Bi, Hong Hao. Numerical simulation on the effectiveness of using viscoelastic materials to mitigate seismic induced vibrations of above-ground pipelines, Engineering Structures, 123 (2016) [Google Scholar]

[15] Mohamed Amine Guidara, Lamjed Hadj Taieb, Christian Schmitt, Ezzeddine Hadj Taieb, Zitouni Azari, Investigation of viscoelastic effects on transient flow in a relatively long PE100 pipe. Journal of Fluids and Structures, 80 (2018) [Google Scholar]

[16] Jiaquan Deng, Yongshou Liu, Zijun Zhang, Wei Liu, Stability analysis of multi-span viscoelastic functionally graded material pipes conveying fluid using a hybrid method. European Journal of Mechanics A/Solids, 65 (2017) [Google Scholar]

[17] B.A. Khudayarov, F.Zh. Turaev, Mathematical Simulation of Nonlinear Oscillations of Viscoelastic Pipelines Conveying Fluid. Applied Mathematical Modelling, 66 (2019). https://doi.org/10.1016/j.apm.2018.10.008 [Google Scholar]

[18] C. Monette, M.J. Pettigrew, Fluidelastic instability of flexible tubes subjected to two-phase internal flow. J. Fluids Struct., 19 (2004) [Google Scholar]

[19] F.B. Badalov, Methods for Solving Integral and Integro-differential Equations of the Hereditary Theory of Viscoelasticity. Tashkent: Mekhnat (1987) [Google Scholar]

[20] F.B. Badalov, Kh. Eshmatov, M. Yusupov, Some Methods of Solution of Systems of Integro-differential Equations Encountered in Problems of Viscoelasticity. Applied Mathematics and Mechanics, 51 (1987) [Google Scholar]

[21] F.B. Badalov, B.A. Khudayarov, A. Abdukarimov, Effect of the hereditary kernel on the solution of linear and nonlinear dynamic problems of hereditary deformable systems. Journal of Machinery Manufacture and Reliability, 36 (2007) [Google Scholar]

[22] B.A. Khudayarov, N.G. Bandurin, Nonlinear Oscillation of Viscoelastic Orthotropic Cylindrical Panels. Mathematical Models and Computer Simulations, 17 (2005) [Google Scholar]

[23] B.A. Khudayarov, N.G. Bandurin, Numerical Investigation of Nonlinear Vibrations of Viscoelastic Plates and Cylindrical Panels in a Gas Flow. Journal of Applied Mechanics and Technical Physics, 48 (2007) [Google Scholar]

[24] B.A. Khudayarov, Numerical Analysis of the Nonlinear Oscillation of Viscoelastic Plates. International Applied Mechanics, 41 (2005) [Google Scholar]

[25] B.A. Khudayarov, Flutter of a viscoelastic plate in a supersonic gas flow. International Applied Mechanics, 46, 4 (2010) [CrossRef] [Google Scholar]

[26] V.I. Matyash, On the Dynamic Strength of a Hinged Supported Elastic-Viscous Rod. Mechanics of Polymers, 2 (1971) [Google Scholar]

[27] M.M. Mirsaidov, T. Z. Sultanov, Use of the linear hereditary theory of viscoelasticity in dynamic calculation of earth structures, Foundations, bases and soil mechanics, 6 (2012) [Google Scholar]