Motion Dynamics of a Bubble in an Inclined Channel at Finite Reynolds Numbers

Document Type : Original Article

Authors

Mechanical Engineering Department Bu-Ali Sina University

Abstract

The movement of bubbles on inclined surfaces, such as inclined channels, has numerous scientific and industrial applications. In the present study, a three-dimensional study of the lateral motion of a bubble within an inclined channel due to the pressure gradient (Poiseuille flow) in the presence of gravity force is investigated. The Navier-Stokes equations are solved numerically using the finite difference/front tracking method. This method is a combination of drop capture and tracking methods. The results demonstrate that the dimensionless velocity in the flow direction is enhanced with the capillary number. Also, as the channel inclination angle increases, the amount of gravitational force in the direction of the flow ( ) increases and the amount of gravitational force in the direction perpendicular to the flow ( ) decreases, and the bubble becomes closer to the channel center. It is found that the axial velocity of the bubble increases with the channel inclination angle.

Keywords

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References

  1. Taylor, G. I. “The formation of emulsions in definable fields of flow,” Proc. Roy. Soc. A, Vol. 146, pp. 501, 1934.
  2. Segre, G. and Silberberg, A. “Behaviour of macroscopic rigid spheres in poiseuille flow, part2. Experimental results and interpretation”, J. Fluid Mech, Vol. 14, pp. 136, 1962.
  3. Karnis, A., Goldsmith, H. L. and Mason, S. G. “The kinetics of flowing dispersions. Part1. Concentrated suspensions of rigid particles,” J. Colloid. Interface. Sci, Vol. 22, pp. 531-553, 1966.
  4. Karnis, A., Goldsmith, H. L. and Mason, S. G. “The flow of suspensions through tubes. Inertial effects,” J. Chem. Engng, Vol. 44, pp. 181-193, 1966.
  5. Kennedy, M. R., Pozrikidis, C. and Skalak, R. “Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow,” Computers Fluids, Vol. 23, No. 2, pp. 251-278, 1994.
  6. Nourbakhsh, A. and Mortazavi, S. S. “A three-dimensional study of the motion of a drop in plane Poiseuille flow at finite Reynolds numbers,” Iranian J. Science and Technology, Transaction B: Engineering, Vol. 34, No. B2, pp. 179-196, 2010.
  7. Mortazavi, S. S., Afshar, Y. and Abbuspour, H. “Numerical simulation of two-dimensional drops suspended in simple shear flow at nonzero Reynolds numbers,” J. Fluids. Eng, Vol. 133, pp. 1-9, 2011.
  8. Bayareh, M. and Mortazavi, S. S. “Binary collision of drops in simple shear flow at finite Reynolds numbers: Geometry and viscosity ratio effects,” Advances in Eng. Software, Vol. 42, pp. 604-611, 2011.
  9. Pournader, O. and Mortazavi, S. “Three dimensional in teraction of two drops driven by buoyancy,” Computers and fluids, Vol. 88, pp. 543-556, 2013.
  10. Tafreshi, M. M. and Mortazavi, S. S. “Numerical simulation of motion of drops on an inclined channel,” Transactions of Mechanical Engineering, Vol. 37, pp. 119-130, 2013.
  11. Razavieh, A. and Mortazavi, S. “The interface between fluid-like and Solid-like behavior for drops suspended in two-phase Couette flow,” Acta Mechanica, Vol. 226, pp. 1105-1121, 2015.
  12. Shahin, H. and Mortazavi, S. “Three-dimensional Simulation of microdroplet formation in a co-flowing immiscible fluid system using front tracking method,” Journal of Molecular Liquids, Vol. 243, pp. 737-749, 2017.
  13. Sedaghatkish, A. and Mortazavi, S. “Simulation of film boiling heat transfer in complex geometries using front tracking method,” Journal of Applied Fluid Mechanics, Vol. 12, No. 3, pp. 931-946, 2018.
  14. Nourbakhsh, A. and Saraei, N. “Numerical study of the effect of different flow conditions on the dynamics of droplet collisions between two opposite moving plates,” Journal of Mechanical Engineering, Vol. 51, No. 4, pp. 473-482, 2022. (In Persian)
  15. Tryggvason, G., Bunner, B., Esmaeeli, A., Juric, D., Al-Rawahi, N., Tauber, W., Han, J., Nas, S. and Jan, Y. J. “Afront-tracking method for the computations of multiphase flow,” J. Computational Physics, Vol. 169, pp. 708-759, 2001.
  16. Unverdi, S. O. and Tryggvason, G. “Computations of multi-fluid flows,” Physica, Vol. D60, pp. 70-83, 1992.
  17. Mohammadi Masiri, S., Bayareh, M., and Ahmadi Nadooshan, A. “Pairwise intercation of drops in shear-thinning inelastic fluids,” Korea-Australia Rheology Journal, Vol. 31, pp. 25-34, 2019.
  18. Goodarzi, Z., Ahmadi Nadooshan, A., and Bayareh, M. “Numerical investigation of off-centre binary collision of droplets in a horizontal channel,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 40(3), pp. 1-10, 2018.
  19. Bayareh, M., and Mortazavi, S. “Numerical simulation of the motion of a single drop in a shear flow at finite Reynolds numbers”, Iranian Journal of Science and Technology Transaction B-Engineering, Vol. 33, pp. 441-452, 2009.
  20. Bayareh, M., and Mortazavi, S. “Effect of density ratio on the hydrodynamic interaction between two drops in simple shear flow,” Iranian Journal of Science and Technology Transaction B-Engineering, Vol. 35, pp. 121-132, 2011.
Fluid Mechanics & Aerodynamics
Volume 11, Issue 1 - Serial Number 29
October 2022
Pages 133-144

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History

  • Receive Date: 16 January 2022
  • Revise Date: 15 April 2021
  • Accept Date: 21 May 2022
  • Publish Date: 21 September 2022

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