AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
View PDF
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access | Online First

Numerical investigation of three-dimensional incompressible fluid flow in curved elastic tube

Peng NiaDehong Fangb( )Li Aic,d
School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney NSW 2006, Australia
Department of Mechanical Engineering, Northern Illinois University, Dekalb 60115, USA
Department of Civil and Environmental Engineering, University of South Carolina, Columbia 29208, USA
Department of Mechanical Engineering, University of South Carolina, Columbia 29208, USA
Show Author Information

Abstract

This paper investigates the hydrodynamics of a bent elastic tube with an instantaneously deformed wall using an arbitrary Lagrangian–Eulerian (ALE) finite element method. The study reveals that the tube deforms continuously with the fluid’s progression, exhibiting diverse deformation patterns. The flow patterns do not adhere to Poiseuille’s profile, with higher velocities detected on the inner side of the bent region during deformation. The results deepen insights into hydrodynamics within bent elastic tubes and bring significance for the design of curved pipelines.

References

[1]

A. M. Ruiz-Teran, L. Gardner. Elastic buckling of elliptical tubes. Thin-Wall Struct, 2008, 46: 1304–1318.

[2]

J. D. Ji, R. M. Gao, B. J. Shi, et al. Improved tube structure and segmental baffle to enhance heat transfer performance of elastic tube bundle heat exchanger. Appl Therm Eng, 2022, 200: 117703.

[3]

J. D. Ji, F. Y. Li, B. J. Shi, et al. Analysis of the effect of baffles on vibration and heat transfer characteristics of elastic tube bundles. Int Commun Heat Mass Transf, 2022, 136: 106206.

[4]

M. Avila, D. Barkley, B. Hof. Transition to turbulence in pipe flow. Annu Rev Fluid Mech, 2023, 55: 575–602.

[5]

W. Q. Lou, Z. Y. Wang, P. F. Li, et al. Wellbore drift flow relation suitable for full flow pattern domain and full dip range. Pet Explor Dev, 2022, 49: 694–706.

[6]

D. Fang, Z. Huang, J. Zhang, et al. Effect of fish swimming on the stability of flow fields inside the pipeline. IOP Conf Ser: Earth Environ Sci, 2022, 1037: 012056.

[7]

C. V. Amaechi, C. Chesterton, H. O. Butler, et al. Finite element modelling on the mechanical behaviour of marine bonded composite hose (MBCH) under burst and collapse. J Mar Sci Eng, 2022, 10: 151.

[8]

T. J. Pedley. Mathematical modelling of arterial fluid dynamics. J Eng Math, 2003, 47: 419–444.

[9]

E. F. Toro, A. Siviglia. Flow in collapsible tubes with discontinuous mechanical properties: Mathematical model and exact solutions. Commun Comput Phys, 2013, 13: 361–385.

[10]

D. H. Fang, Z. W. Huang, J. S. Zhang, et al. Flow pattern investigation of bionic fish by immersed boundary–lattice Boltzmann method and dynamic mode decomposition. Ocean Eng, 2022, 248: 110823.

[11]

C. D. Bertram, T. J. Pedley. A mathematical model of unsteady collapsible tube behaviour. J Biomech, 1982, 15: 39–50.

[12]

C. V. Krishna, N. Gundiah, J. H. Arakeri. Separations and secondary structures due to unsteady flow in a curved pipe. J Fluid Mech, 2017, 815: 26–59.

[13]

S. A. Berger, L. Talbot, L. S. Yao. Flow in curved pipes. Annu Rev Fluid Mech, 1983, 15: 461–512.

[14]

J. Thomson. V. On the origin of windings of rivers in alluvial plains, with remarks on the flow of water round bends in pipes. Proc Roy Soc London, 1877, 25: 5–8.

[15]

W. R. Dean. XVI. Note on the motion of fluid in a curved pipe. Philos Mag, 2009, 4: 208–223.

[16]

W. R. Dean. LXXII. The stream-line motion of fluid in a curved pipe (second paper). Philos Mag, 2009, 5: 673–695.

[17]
S. V. Patankar, V. S. Pratap, D. B. Spalding. Prediction of turbulent flow in curved pipes. In: Numerical Prediction of Flow, Heat Transfer, Turbulence and Combustion. S. V. Patankar, A. Pollard, A. K. Singhal, et al., Eds. New York, USA: Pergamon Press, 1983: pp 147–159.
DOI
[18]

Y. H. Wang, Y. M. Chen. Shifted legendre polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model. Appl Math Modell, 2020, 81: 159–176.

[19]

J. Kim, M. Yadav, S. Kim. Characteristics of secondary flow induced by 90-degree elbow in turbulent pipe flow. Eng Appl Comput Fluid Mech, 2014, 8: 229–239.

[20]

S. E. Rafiee, S. Ayenehpour, M. M. Sadeghiazad. A study on the optimization of the angle of curvature for a Ranque–Hilsch vortex tube, using both experimental and full Reynolds stress turbulence numerical modelling. Heat Mass Transf, 2016, 52: 337–350.

[21]
A. Döß, T. Höhne, M. Schubert, et al. Comparison of different CFD approaches for the simulation of developing free surface two-phase flow in straight and bent pipes. Chem Prod Process Model, in press, https://doi.org/10.1515/cppm-2023-0028.
DOI
[22]
M. Abdulkadir. Experimental and computational fluid dynamics (CFD) studies of gas-liquid flow in bends. Ph.D. Thesis, Nottingham, UK: University of Nottingham, 2011.
[23]

R. Andrzejczyk, T. Muszynski, P. Kozak. Experimental and computational fluid dynamics studies on straight and U-bend double tube heat exchangers with active and passive enhancement methods. Heat Transf Eng, 2021, 42: 167–180.

[24]

C. Zhu, V. Vedula, D, Parker, et al. svFSI: A multiphysics package for integrated cardiac modeling. J Open Source Softw, 2022, 7: 4118.

[25]

J. S. Peery, D. E. Carroll. Multi-material ALE methods in unstructured grids. Comput Methods Appl Mech Eng, 2000, 187: 591–619.

[26]

S. Frei, T. Richter, T. Wick. Long-term simulation of large deformation, mechano–chemical fluid–structure interactions in ALE and fully Eulerian coordinates. J Comput Phys, 2016, 321: 874–891.

[27]

E. Gutiérrez, F. Favre, N. Balcázar, et al. Numerical approach to study bubbles and drops evolving through complex geometries by using a level set–moving mesh–immersed boundary method. Chem Eng J, 2018, 349: 662–682.

[28]
H. Aono, C. K. Kang, C. E. S. Cesnik, et al. A numerical framework for isotropic and anisotropic flexible flapping wing aerodynamics and aeroelasticity. In: Proceedings of the 28th AIAA Applied Aerodynamics Conference, Chicago, USA, 2010: p 5082.
DOI
[29]
J. Zhang, M. Kashiwagi. Application of ALE to nonlinear wave diffraction by a non-wall-sided structure. In: Proceedings of the 27th International Ocean and Polar Engineering Conference, San Francisco, USA, 2017: ISOPE-I-17-533.
[30]

V. Mittal, S. Kang, E. Doran, et al. LES of gas exchange in IC engines. Oil Gas Sci Technol–Rev IFP Energ Nouv, 2014, 69: 29–40.

[31]

L. Dedè, F. Menghini, A. Quarteroni. Computational fluid dynamics of blood flow in an idealized left human heart. Int J Numer Methods Biomed Eng, 2021, 37: e3287.

[32]

J. Seo, D. E. Schiavazzi, A. M. Kahn, et al. The effects of clinically-derived parametric data uncertainty in patient-specific coronary simulations with deformable walls. Int J Numer Methods Biomed Eng, 2020, 36: e3351.

[33]

S. Ghosh, N. Kikuchi. An arbitrary Lagrangian–Eulerian finite element method for large deformation analysis of elastic–viscoplastic solids. Comput Methods Appl Mech Eng, 1991, 86: 127–188.

[34]
A. Sahu, Y. A. D. Omar, R. A. Sauer, et al. Arbitrary Lagrangian–Eulerian finite element method for curved and deforming surfaces: I. General theory and application to fluid interfaces. J Comput Phys, 2020, 407: 109253.
DOI
[35]

M. Esmaily-Moghadam, Y. Bazilevs, A. L. Marsden. A bi-partitioned iterative algorithm for solving linear systems arising from incompressible flow problems. Comput Methods Appl Mech Eng, 2015, 286: 40–62.

[36]

J. Seo, D. E. Schiavazzi, A. L. Marsden. Performance of preconditioned iterative linear solvers for cardiovascular simulations in rigid and deformable vessels. Comput Mech, 2019, 64: 717–739.

[37]

M. S. Ghidaoui, M. Zhao, D. A. McInnis, et al. A review of water hammer theory and practice. Appl Mech Rev, 2005, 58: 49–76.

Journal of Intelligent Construction
Cite this article:
Ni P, Fang D, Ai L. Numerical investigation of three-dimensional incompressible fluid flow in curved elastic tube. Journal of Intelligent Construction, 2024, https://doi.org/10.26599/JIC.2024.9180023

232

Views

52

Downloads

0

Crossref

Altmetrics

Received: 19 January 2024
Revised: 05 February 2024
Accepted: 16 February 2024
Published: 14 June 2024
© The Author(s) 2024. Published by Tsinghua University Press.

The articles published in this open access journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

Return