Materials Science. Non-Equilibrium Phase Transformations.
Vol. 4 (2018), Issue 4, pg(s) 129-132

Numerical modelling of flows along the nanostructured surface

  • 1 Institute of Fundamental Science and Innovative Technologies, Liepaja University, Latvia
  • 2 Faculty of Science and Engineering, Liepaja University, Latvia
  • 3 "Entelgine" Research & Advisory Company, Ltd., Latvia

Abstract

Not all the properties of structured surfaces can be predicted just through using stationary solutions. Hydrophilic and hydrophobic qualities distinctly manifest themselves when surface contacts with mobile liquid; besides, shape of surface projections could variously influence flow velocity in different directions forming turbulences behind projections (even cavitation zones if flow is very fast). The following properties of liquids are particularly important for these processes: dynamic and kinematic viscosity, density, flow velocity and characteristic flow size, which represents itself contact surface relation to cross-sectional area. Relationships between these parameters characterize flowability of the particular substance and can be expressed as Reynolds number. Solutions of kinetic equations could be helpful to develop understanding on particular fluid’s flowability in the close vicinity of the surface.
Examples discussed in this paper can be used not only in nano- and microstructures related research but also for high school and university students training in physics and natural sciences. Comprehension development about flow rate diferences in various distances from tube walls should be considered as one of problems for successful acquiring of hydrodynamics topics. Even use of transparent tubes is not helpful enough for appropriate demonstration of tinted liquid speed distribution in flow’s cross-sectional area – laminar flow when Reynolds number value is low and turbulent flow when it is high.

Keywords

References

  1. R. S. Turmanidze, T. S. Aptsiauri, and G. Z. Popkhadze, New Materials for Implants of the Human Hip Joint and Technology of Their Machining With the Achievement of High Precision and Quality of Spherical Surfaces, Journal of Mechanical Engineering, vol. 75, No. 3, 2015
  2. Žaimis U. Ar femtosekunžu lāzera starojumu formētu periodisku nanostruktūru skaitliska modelējuma programmnodrošinājums, Diploma project, Latvia, 2018
  3. Guseynov Sh.E., Žaimis U. On A Physico-Mathematical Model For Controlled Formation Of Periodic Nanostructures At Solid Surfaces Irradiated By Femtosecond Laser Pulses, "Machines. Technologies. Materials.", Issue 7/2016, ISSN 1313-0226
  4. Žaimis U., Guseynov Sh. E. Scientifically substantiated guidelines for physico-mathematical modelling of laser surface-treatment of wear-resistant implants for human joint replacements, proceedings of XI Int. sc. conference "Environment.Technology.Resources.", Issue 3/2017, ISSN 1691-5402
  5. Michael C. Sukop, Daniel T. Thorne, Jr. Lattice Boltzmann Modeling. An Introduction for Geoscientists and Engineers
  6. Bhatnagar P L, Gross E P and Krook M. A model for collision processes in gases, 1954 Phys. Rev. 94 511
  7. Zou Q., He X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys Fluids 1997(9):1591-1598
  8. Yuanxun Bill Bao & Justin Meskas Lattice Boltzmann Method for Fluid Simulations, 2011
  9. Xiaoyi He and Li-Shi Luo Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
  10. Modelling of hydrodynamics: Lattice Boltzmann Method, available at: www.habrahabr.ru [date of access 04. 2018]

Article full text

Download PDF