Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Dynamics of particles floating on liquid flowing in a semicircular open channel

  • 52 Accesses

  • 3 Citations


The dynamic characteristics of surface-floating particles in liquids flowing in a two-dimensional, semicircular open channel is studied experimentally. For high visibility in the experiments, relatively large particles are employed whose particle-liquid density ratio is either equal to or less than unity. Particles of different size and geometry are tested in a water-glycerin mixture. A video camera traces the pathline of each particle from which the velocity and direction of particle motion are evaluated. Liquid velocity distribution is determined by hot-film anemometry. A modified dynamics (Basset-Boussinesq-Oseen) equation is derived and numerically solved by means of a finite-difference technique to determine fluid velocity. A new dimensionless parameter is disclosed which is pertinent to both particle geometry and fluid flow conditions. It correlates particle trajectory and velocity, trajectory dispersion and fluid-particle velocity ratio.

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


  1. Brandone, B.; Bernard, P. 1971: Visualization par analogie hydraulique de l'écoulement dans une grille d'aubes plane mobile. Rech. Aerospace No. 1971-2, 125–128

  2. Clayton, B. R.; Massey, B. S. 1967: Flow visualization in water: a review of techniques. J. Sci. Instrum. 44, 2–11

  3. Dimotakis, P. E.; Debussy, F. D.; Koochesfahani, M. M. 1981: Particle streak velocity field measurements in a two-dimensional mixing layer. Phys. Fluids 24, 995–999

  4. Douglas, H. A.; Mason, P. J.; Hinch, E. J. 1972: Motion due to a moving internal heat source. J. Fluid Mech. 54, 469–480

  5. Gharib, M.; Willert, C. 1989: Particle tracing: revised, advances in fluid mechanics measurements, lecture notes in engineering. (Ed. Gad-el-Hak, M.) Berlin Heidelberg New York: Springer, pp. 109–126

  6. Merzkirch, W. 1987: Flow visualization. New York: Academic Press, pp. 38–48

  7. Soo, S. L. 1967: Fluid dynamics of multiphase systems. Blaisdell Publishing, pp. 31–35

  8. Umeda, S.; Yano, M. 1988: Study of suspended particle motion in curved flow. 2nd International Symposium on FLUCOME, Sheffield, pp. 413–416

Download references

Author information

Additional information

Visiting Scholar on leave from Department of Mechanical Engineering, Fukuyama University, Fukujama, Japan

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Umeda, S., Yang, W.-. Dynamics of particles floating on liquid flowing in a semicircular open channel. Experiments in Fluids 12, 106–112 (1991). https://doi.org/10.1007/BF00226574

Download citation


  • Fluid Flow
  • Velocity Distribution
  • Video Camera
  • Dimensionless Parameter
  • Fluid Velocity