A Frequency Dependence of the Phase Field Model in Laminar Boundary Layer with Periodic Perturbations
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32769
A Frequency Dependence of the Phase Field Model in Laminar Boundary Layer with Periodic Perturbations

Authors: Yasuo Obikane

Abstract:

The frequency dependence of the phase field model(PFM) is studied. A simple PFM is proposed, and is tested in a laminar boundary layer. The Blasius-s laminar boundary layer solution on a flat plate is used for the flow pattern, and several frequencies are imposed on the PFM, and the decay times of the interfaces are obtained. The computations were conducted for three cases: 1) no-flow, and 2) a half ball on the laminar boundary layer, 3) a line of mass sources in the laminar boundary layer. The computations show the decay time becomes shorter as the frequency goes larger, and also show that it is sensitive to both background disturbances and surface tension parameters. It is concluded that the proposed simple PFM can describe the properties of decay process, and could give the fundamentals for the decay of the interface in turbulent flows.

Keywords: Phase field model, two phase flows, Laminarboundary Layer

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077783

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1457

References:


[1] N. Takada, A. Tomiyama, and S. Hosakawa., "Numerical simulation of drops in a shear flow by a lattice-Bolzmann binary fluid model", Computational Fluid Dynamics Journal, (2003), 475-481
[2] V.Hernandes-Perez,M.Abudulkabir,B.J.Azzopardi,"Slugging Frequency Correlation for Inclined Gas-Liquid Flow",WASET ,61,2010,pp44- 53
[3] H. Schlichting, Boundary-Layer Theory, 7th edition, McGrawHill,1979
[4] D. Jacqmin, "Calculation of two phase Navier-Stokes Flows using Phase-field modeling,"J. computational Physics.,155(1999),96-127
[5] Y. Obikane, K. Kuwahara. "Direct Simulation for Acoustic near Fields Using the Compressible Navier-Stokes Equation", ICCDF5(2008)-181, Splinger Verlag (2009.7)
[6] Y. Obikane, "A numerical Computation of the Reynolds Stress in Supersonic Inlet Flows" AIAA Paper,AIAA-84-1364,1987
[7] Y. Obikane , "Research on of Correlation of the Fluctuating Density Gradient of the Compressible Flows" WASET vol60-63,pp364-367, ICCFD2009, Dec. Bangkok, Thailand.