Skip to main content
Log in

Dynamics for Droplets in Normal Gravity and Microgravity

  • Published:
Microgravity Science and Technology Aims and scope Submit manuscript

Abstract

A numerical study has been carried out to investigate the deformation dynamics of droplets under normal gravity and the thermocapillary migration of droplets under microgravity. The Navier–Stokes equations coupled with the energy conservation equation are solved on a staggered grid by the method of lines, and the mass conserving level set method is used to predict the surface deformation of the droplet. The simulation for the falling droplet in the air under normal gravity shows that the value of Weber number affects mainly the deformation of the droplet, while the value of Reynolds number has direct impact on the falling velocity of the droplet. From the simulation for the droplet thermocapillary migration and lateral oscillation under microgravity, it is found that the value of Marangoni number has obvious effects on the moving velocity and temperature distribution of the droplet.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Balasubramaniam, R., Subramanian, R.S.: The migration of a drop in a uniform temperature gradient at large Marangoni numbers. Phys. Fluids 12, 733–743 (2000)

    Article  MATH  Google Scholar 

  • Briscoe, B.J., Lawrence, C.J., Mietus, W.G.P.: A review of immiscible fluid mixing. Adv. Colloid Interface Sci. 81, 1–17 (1999)

    Article  Google Scholar 

  • Gupta, A.K., Basu, S.: Deformation of an oil droplet on a solid substrate in simple shear flow. Chem. Eng. Sci. 63, 5496–5502 (2008)

    Article  Google Scholar 

  • Huo, Y., Li, B.Q.: Surface deformation and convection in electrostatically-positioned droplets of immiscible liquids under microgravity. J. Heat Transfer 128, 520–529 (2006)

    Article  Google Scholar 

  • Kang, M., Fedkiw, R.P., Liu, X.D.: A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput. 15(3), 323–360 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  • Kawaji, M., Liang, R.Q., Nasr-Esfahany, M., Simic-Stefania, S., Yoda, S.: The effect of small vibrations on Marangoni convection and the free surface of a liquid bridge. Acta Astronautica 58, 622–632 (2006)

    Article  Google Scholar 

  • Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton–Jacobi formulations. J. Comput. Phys. 79(1), 12–49 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  • Shirani, E., Masoomi, S.: Deformation of a droplet in a channel flow. J. Fuel Cell Sci. Tech. 5, 041008 (2008)

    Article  Google Scholar 

  • Sussman, M., Smereka, P., Osher, S.: A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114, 146–159 (1994)

    Article  MATH  Google Scholar 

  • Taylor, G.I.: The viscosity of a fluid containing small drops of another fluid. Proc. Roy. Soc. Lond. 138, Ser. A 438, 41–48 (1932)

    Google Scholar 

  • van der Pijl, S.P., Segal, A., Vuik, C., Wesseling, P.: A mass-conserving level-set method for modelling of multi-phase flows. Int. J. Numer. Meth. Fluids 47, 339–361 (2005)

    Article  MATH  Google Scholar 

  • van der Sman, R.G.M., van der Graaf, S.: Emulsion droplet deformation and breakup with Lattice Boltzmann model. Comput. Phys. Comm. 178, 492–504 (2008)

    Article  Google Scholar 

  • Yin, Z., Gao, P., Hu, W., Chang, L.: Thermocapillary migration of nondeformable drops. Phys. Fluids 20(8), 082101 (2008)

    Article  Google Scholar 

  • Young, N.O., Goldstein, J.S., Block, M.J.: The motion of bubbles in a vertical temperature gradient. J. Fluid Mech. 6, 350–356 (1959)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ruquan Liang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, R., Chen, Z. Dynamics for Droplets in Normal Gravity and Microgravity. Microgravity Sci. Technol. 21 (Suppl 1), 247–254 (2009). https://doi.org/10.1007/s12217-009-9156-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12217-009-9156-2

Keywords

Navigation