Un enfoque para obtener una función potencial por parejas a partir de simulaciones numéricas de dos partículas esféricas fijas bajo el número de Reynolds de partículas bajas

Autores/as

  • Salvador Vargas D Universidad Libre

Palabras clave:

Pairwise potential function, two-phase flows, hydrodynamic interactions, Computational Fluid Dynamics

Resumen

In this paper a method to obtain a pairwise potentialenergy function from Computational FluidDynamic (CFD) simulation of two-fixed sphericalparticles is presented. A pair potential function isvery helpful to evaluate the particle hydrodynamicinteractions in two-phase flow systems involvinga large number of particles. The hydrodynamicinteractive forces play an important role in thistype of flows. Using the traditional dynamicparticle simulations such as direct numericalsimulations (DNS), Two-Fluid Model (TFM) anddiscrete element (DEM), the analysis of a systemof N particles, a great amount of computationalwork of order O(N2)is required to evaluate all thepairwise particle interactions. The algorithm ofthe present paper only requires two-fixed sphericalparticles to find a pair potential that can be usedin a stochastic method such as Monte Carlo(MC) or Molecular Dynamic Simulations (MDS),resulting in less computer time requirements,making it considerably more practical for largescaleproblems encountered in two-phase flowsystems. Thus, when someone is only interested inan equilibrium configuration of a large group ofparticles in two-phase flow system rather than theirtime-dependant particle properties, this approachcould be a solution.

Descargas

Los datos de descarga aún no están disponibles.

Referencias

1. Greengard&Rokhlin (1997). “A fast algorithmfor particle simulations”, in: Journal of ComputationalPhysics, vol. 135, pp. 280-292.

2. Camp, P. J. (2006). “Structure and dynamics in amonolayer of core-softened particles”, in: Journalof Molecular Liquids, vol. 127, pp. 10–13.

3. Vargas (2008). Numerical Simulations ofHydrodynamic Particle Interactions at low Particle ReynoldsNumber. PhD. Thesis, University of Edinburgh,Edinburgh, Scotland.

4. Kim, I.; Elghobashi, S. and Sirignano, W. (1993).“Tree-dimensional flow over two spheres placedside by side”, in: Journal of Fluid Mechanics, vol. 246,pp. 465-488

5. Vargas, S. and Easson, W. J. (2004). “Forcesbetween two spheres at low Reynolds number”,in: 3Rd International symposium on Two-Phase FlowModelling and Experimentation, Pisa, Italy.

6. Folkersma, R.; Stein, H. and van de Vosse, F.(2000). “Hydrodynamics interactions between twoidentical spheres held fixed side by side against auniform stream directed perpendicular to the lineconnecting the spheres’ centre”, in: InternationalJournal of Multiphase Flow, vol. 26, pp. 877-887.

7. Prahl, L.; Hölzer, A.; Arlov, D.; Revstedt, J.;Sommerfeld, M. and Fuchs, L. (2007). “On theinteraction between two fixed spherical particles”,in: International Journal of Multiphase Flow.

8. Weisstein, Eric W. (2011). “Legendre Polynomial”,in: MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/LegendrePolynomial.html. Visited on February 15th.

Descargas

Publicado

2011-06-01

Cómo citar

Un enfoque para obtener una función potencial por parejas a partir de simulaciones numéricas de dos partículas esféricas fijas bajo el número de Reynolds de partículas bajas. (2011). Avances Investigación En Ingeniería, 8(1), 47-51. https://revistas.unilibre.edu.co/index.php/avances/article/view/2604