A Frequency Dependence of the Phase Field Model in Laminar Boundary Layer with Periodic Perturbations
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:60738", author = "Yasuo Obikane", title = "A Frequency Dependence of the Phase Field Model in Laminar Boundary Layer with Periodic Perturbations", 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", volume = "4", number = "5", pages = "467-7", }