Skip to main content

Lattice Boltzmann Modelling of Capillarity-Induced Resonance of Blob Inside a Circular Tube

  • Conference paper
  • First Online:
Fluid Mechanics and Fluid Power – Contemporary Research

Abstract

The capillarity induced resonance has been one of the promising method as far as the mobilization of trapped blob is concerned. In this context, lattice Boltzmann Shan and Chen model is employed to analyze the movement of a 3-D immiscible blob influenced by oscillatory acoustic excitation in a tube. The influence of the physicochemical parameters which includes wettability, width of tube, viscosity, magnitude of the force and frequency on blob dynamics are discussed. The effect of frequency on the blob shows peak displacement of the blob at resonance frequency. The resonance behaviour of blob with various wettabilities and capillary numbers is analyzed to understand capillarity-wettability interaction. Mobilization study of the blob reveals that wettability plays a crucial role in the blob mobilization at low capillary number.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Beresnev, I., Johnson, A.: Elastic-wave stimulation of oil production: a review of methods and results. Geophysics 59(6), 1000–1017 (1994)

    Article  Google Scholar 

  2. Charlaix, E., Gayvallet, H.: Dynamics of a harmonically driven fluid interface in a capillary. J. Phys. 75, 2025–2038 (1992)

    Google Scholar 

  3. Cox, B.G.: On driving a viscous fluid out of a tube. J. Fluid Mech. 14, 81–96 (1962)

    Article  MATH  Google Scholar 

  4. Govier, G., Aziz, K.: The Flow of Complex Mixtures in Pipes. Van Norstrand-Reinhold, New York (1972)

    Google Scholar 

  5. Gunstensen, A.K., Rothman, D.H., Zaleski, S., Zanetti, G.: Lattice boltzmann model of immiscible fluids. Phys. Rev. A 43, 4320–4327 (1991)

    Article  Google Scholar 

  6. He, X.Y., Chen, S.Y., Zhang, R.Y.: A lattice boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. J. Comput. Phys. 152, 642–663 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  7. Hilpert, M.: Capillarity-induced resonance of blobs in porous media: analytical solutions: lattice-Boltzmann modeling, and blob mobilization. J. Colloid Interface Sci. 309, 493–504 (2007)

    Article  Google Scholar 

  8. Hilpert, M., Jirka, G.H., Plate, E.: Capillarity-induced resonance of oil blobs in capillary tubes and porous media. Geophysics 65, 874–883 (2000)

    Article  Google Scholar 

  9. Hilpert, M., Miller, C.T.: Experimental investigation on the resonance of a liquid column in a capillary tube. J. Colloid Interface Sci. 219, 62–68 (1999)

    Article  Google Scholar 

  10. Hilpert, M., Stopper, D., Jirka, G.H.: Resonance of a liquid column in a capillary tube. Z. Angew. Math. Phys. 48, 424–438 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  11. Kang, Q., Zhang, D., Chen, S.: Displacement of a two dimensional immiscible droplet in a channel. Phys. Fluids 40, 3203–3214 (2002)

    Article  MATH  Google Scholar 

  12. Kang, Q., Zhang, D., Chen, S.: Displacement of a two dimensional immiscible droplet in a channel. J. Fluid Mech. 545, 41–66 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Mukherjee, P.: Pore-scale modeling and analysis of the polymer electrolyte fuel cell catalyst layer. Ph.D. thesis, Department of Mechanical Engineering, Pennsylvania State University, USA (2007)

    Google Scholar 

  14. Ouyang, L., Aziz, K.: A homogeneous model for gasliquid flow in horizontal wells. J. Pet. Sci. Eng. 27, 119–128 (2000)

    Article  Google Scholar 

  15. Randive, P., Dalal, A.: Capillarity-induced resonance of blobs in a 3-d duct: lattice boltzmann modelling. Int. J. Heat Mass Transf. 65, 635–648 (2013)

    Article  Google Scholar 

  16. Reinelt, D.A., Saffman, P.G.: The penetration of a finger into a viscous fluid in a channel and tube. SIAM J. Sci. Stat. Comput. 6, 542–561 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  17. Shan, X., Chen, H., Prasad, P.L.N., Basu, S.: Lattice boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47, 1815–1817 (1993)

    Article  Google Scholar 

  18. Swift, M., Osborn, W., Yeomans, J.: Lattice Boltzmann simulation of nonideal fluids. Phys. Rev. Lett. 75, 830–833 (1995)

    Article  Google Scholar 

  19. Washburn, E.W.: The dynamics of capillary flow. Phys. Rev. 17, 273–283 (1921)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amaresh Dalal .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer India

About this paper

Cite this paper

Pitambar Randive, Saurabh Bhardwaj, Amaresh Dalal (2017). Lattice Boltzmann Modelling of Capillarity-Induced Resonance of Blob Inside a Circular Tube. In: Saha, A., Das, D., Srivastava, R., Panigrahi, P., Muralidhar, K. (eds) Fluid Mechanics and Fluid Power – Contemporary Research. Lecture Notes in Mechanical Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2743-4_106

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-2743-4_106

  • Published:

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2741-0

  • Online ISBN: 978-81-322-2743-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics