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Study on Dynamic Characteristics of Microchannel Fluid–Solid Coupling Systems in Nonlocal Stress Fields

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Abstract

Purpose

Objective of the present work is predicting the dynamic behaviors of fluid-filled microchannels when considering the small-scale effects caused by microchannel and inner fluid.

Method

A dynamic Euler–Bernoulli beam model for fluid-filled microchannels is established when applying the nonlocal strain gradient constitutive equation and nonlocal fluid shear stress equation. The scale effects of microtubes are simulated by nonlocality of elastic stress and gradient effect of strain when the fluid nonlocality is applied for predicting the scale effects induced by fluid flow. The dynamic equilibrium equations and boundary conditions for the dynamic tube are derived. By solving the equilibrium equations, different types of scale effects on wave propagation behavior are analyzed.

Results

The numerical results indicate that the nonlocal effect induced by microchannels dampens propagation for waves of short wavelengths, whereas the strain gradient effect enhances wave propagation at all wavelengths. The scale effect contributed by fluid flow also leads to decaying of the wave, because the flow velocity is reduced by the nonlocality of the fluid.

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References

  1. Gad-El-Hak M (1999) The fluid mechanics of microdevices—the Freeman scholar lecture. J Fluids Eng 121(1):5–33

    Article  Google Scholar 

  2. Gad-El-Hak M (2001) Review: flow physics in MEMS. Mec Ind 2(4):313–341

    Google Scholar 

  3. Karniadakis G, Beskok A, Gad-El-Hak M (2002) Micro flows: fundamentals and simulation. Springer 55(4):B76

    Google Scholar 

  4. Rafii-Tabar H, Ghavanloo E, Fazelzadeh SA (2016) Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures. Phys Rep 638:1–97

    Article  MathSciNet  Google Scholar 

  5. Babu S, Ndungu P, Bradley JC, Rossi MP, Gogotsi Y (2005) Guiding water into carbon nanopipes with the aid of bipolar electrochemistry. Microfluid Nanofluid 1(3):284–288

    Article  Google Scholar 

  6. Krishnan TVS, Babu JS, Sathian SP (2013) A molecular dynamics study on the effect of thermostat selection on the physical behavior of water molecules inside single walled carbon nanotubes. J Mol Liq 188(188):42–48

    Article  Google Scholar 

  7. Cui J, Yang L, Wang Y (2013) Molecular dynamics study of the positioned single-walled carbon nanotubes with T-, X-, Y- junction during nanoscale soldering. Appl Surf Sci 284(11):392–396

    Article  Google Scholar 

  8. Wang J, Xie H (2015) Molecular dynamic investigation on the structures and thermal properties of carbon nanotube interfaces. Appl Therm Eng 88:347–352

    Article  Google Scholar 

  9. Liew KM, Wong CH, Tan MJ (2005) Buckling properties of carbon nanotube bundles. Appl Phys Lett 87(4):56

    Article  Google Scholar 

  10. Kitipornchai S, He XQ, Liew KM (2005) Buckling analysis of triple-walled carbon nanotubes embedded in an elastic matrix. J Appl Phys 97(11):2089

    Article  Google Scholar 

  11. Sui Y, Teo CJ, Lee PS, Chew YT, Shu C (2010) Fluid flow and heat transfer in wavy microchannels. Int J Heat Mass Transf 53(13–14):2760–2772

    Article  Google Scholar 

  12. Mohammed HA, Gunasegaram P, Shuaib NH (2011) Influence of channel shape on the thermal and hydraulic performance of microchannel heat sink. Int Commun Heat Mass Transfer 38(4):474–480

    Article  Google Scholar 

  13. Beskok A, Karniadakis GE (1999) A model for flows in channels, pipes, and ducts at micro and nano scales. Microscale Thermophys Eng 3(1):43–77

    Article  Google Scholar 

  14. Rashidi V, Mirdamadi HR, Shirani E (2012) A novel model for vibrations of nanotubes conveying nano flow. Comput Mater Sci 51(1):347–352

    Article  Google Scholar 

  15. Wang Q, Varadan VK (2006) Wave characteristics of carbon nanotubes. Int J Solids Struct 43(2):254–265

    Article  Google Scholar 

  16. Ma HM, Gao XL, Reddy JN (2008) A microstructure-dependent Timoshenko beam model based on a modified couple stress theory. J Mech Phys Solids 56(12):3379–3391

    Article  MathSciNet  Google Scholar 

  17. Park SK, Gao XL (2008) Variational formulation of a modified couple stress theory and its application to a simple shear problem. Z Angew Math Phys 59(5):904–917

    Article  MathSciNet  Google Scholar 

  18. Askes H, Suike ASJ, Sluys LJ (2002) A classification of higher-order strain-gradient models-linear analysis. Arch Appl Mech 72(2–3):171–188

    Article  Google Scholar 

  19. Aifantis EC (1999) Strain gradient interpretation of size effects. Int J Fract 95(1):299–314

    Article  Google Scholar 

  20. Aifantis EC (1999) Gradient deformation models at nano, micro and macro scales. J Eng Mater Technol 121(2):189–202

    Article  Google Scholar 

  21. Peddieson J, Buchanan GR, Mcnitt RP (2003) Application of nonlocal continuum models to nanotechnology. Int J Eng Sci 41(3–5):305–312

    Article  Google Scholar 

  22. Wang Q (2005) Wave propagation in carbon nanotubes via nonlocal continuum mechanics. J Appl Phys 98(12):124301–124306

    Article  Google Scholar 

  23. Challamel N (2013) Variational formulation of gradient or/and nonlocal higher-order shear elasticity beams. Compos Struct 105(8):351–368

    Article  Google Scholar 

  24. Lim CW, Yang Y (2010) Wave propagation in carbon nanotubes: nonlocal elasticity-induced stiffness and velocity enhancement effects. J Mech Mater Struct 5(3):459–476

    Article  Google Scholar 

  25. Lim CW, Yang Y (2010) New predictions size-dependent nanoscale based on nonlocal elasticity for wave propagation in carbon nanotubes. J Comput Theor Nanosci 7(6):988–995

    Article  Google Scholar 

  26. Yang Y, Zhang LX, Lim CW (2012) Wave propagation in fluid-filled single-walled carbon nanotube on analytically nonlocal Euler–Bernoulli beam model. J Sound Vib 331(7):1567–1579

    Article  Google Scholar 

  27. Lim CW, Zhang G, Reddy JN (2015) A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. J Mech Phys Solids 78:298–313

    Article  MathSciNet  Google Scholar 

  28. Li L, Hu Y (2015) Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory. Int J Eng Sci 97:84–94

    Article  MathSciNet  Google Scholar 

  29. Li L, Hu Y, Ling L (2015) Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory. Compos Struct 133:1079–1092

    Article  Google Scholar 

  30. Li L, Hu Y, Ling L (2016) Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory. Physical E 75:118–124

    Article  Google Scholar 

  31. Eringen AC (2002) Nonlocal continuum field theories. Springer, New York

    MATH  Google Scholar 

  32. Paidoussis MP (1998) Fluid-structure interactions: slender structures and axial flow. Academic Press, San Diego

    Google Scholar 

  33. Mirramezani M, Mirdamadi HR (2012) The effects of Knudsen-dependent flow velocity on vibrations of a nano-pipe conveying fluid. Arch Appl Mech 82(7):879–890

    Article  Google Scholar 

  34. Mirramezani M, Mirdamadi HR (2012) Effects of nonlocal elasticity and Knudsen number on fluid–structure interaction in carbon nanotube conveying fluid. Physical E 44(10):2005–2015

    Article  Google Scholar 

  35. Yang Y, Wang JR, Yu Y (2018) Wave propagation in fluid-filled single-walled carbon nanotube based on the nonlocal strain gradient theory. Acta Mech Solida Sin 31(4):484–492

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant no. 11462010).

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Authors and Affiliations

  1. Key Laboratory in Yunnan Province for Disaster Reduction of Civil Engineering, Kunming University of Science and Technology, Kunming, 650500, China

    Yang Yang, Wang Jinrui & Yan Wuhuai

Authors
  1. Yang Yang
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  2. Wang Jinrui
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  3. Yan Wuhuai
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Correspondence to Yang Yang.

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Yang, Y., Jinrui, W. & Wuhuai, Y. Study on Dynamic Characteristics of Microchannel Fluid–Solid Coupling Systems in Nonlocal Stress Fields. J. Vib. Eng. Technol. 7, 477–485 (2019). https://doi.org/10.1007/s42417-019-00145-w

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  • DOI: https://doi.org/10.1007/s42417-019-00145-w

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