Research on the Correlation of the Fluctuating Density Gradient of the Compressible Flows
This work is to study a roll of the fluctuating density
gradient in the compressible flows for the computational fluid dynamics
(CFD). A new anisotropy tensor with the fluctuating density
gradient is introduced, and is used for an invariant modeling technique
to model the turbulent density gradient correlation equation derived
from the continuity equation. The modeling equation is decomposed
into three groups: group proportional to the mean velocity, and that
proportional to the mean strain rate, and that proportional to the mean
density. The characteristics of the correlation in a wake are extracted
from the results by the two dimensional direct simulation, and shows
the strong correlation with the vorticity in the wake near the body.
Thus, it can be concluded that the correlation of the density gradient
is a significant parameter to describe the quick generation of the
turbulent property in the compressible flows.
[1] SPEZIALE,C.G.1991 "Analytical Methods for the development of
Reynolds stress closure in Turbulence Annual Review of Fluid MechanicsVOL.
23.pp107-57.
[2] LIGHTHILL,M.J 1952 On Sound Generated Aerodynamically
Proc.Roy.Soc(London) VOL.A 211.
[3] COLEMAN,B.D., AND NOLL, W. 1960 Arch. Rat. Mech. and Anal.
VOL.6 pp355
[4] OBIKANE, Y.1984 A numerical Computation of the Reynolds Stress in
Supersonic Inlet Flows AIAA Paper,AIAA-84-1364
[5] OBIKANE, Y.1983 Numerical Computation of turbulent flow Around
the spinner of a Turbofan Engine 13th International Symposium on air
breathing engine,paris.
[6] OBIKANE, Y.1979 Turbulence Modeling in Homogeneous Flows: Determination
of the Rapid Terms Ph.D.Dessertation,Cornell University
[7] MARGNAT, F & FORTUNE, V & JORDAN, P. & GERVAIS, Y2008 Analysis
of free-shear flow noise through a decomposition of the Lighthill
source term,5TH INTERNATIONAL CONFERENCE OF CFDSeul,Koria
[8] POPE, S. B.2000 Turbulent Flows,Cambridge University Press, Appendix
B
[9] Obikane,Y. Kuwahara,K. Direct Simulation for Acoustic near Fields
Using the Compressible Navier-Stokes Equation", ICCDF5(2008)-181,
Splinger Verlag(2009.7 published)
[10] Obikane,Y."Aeroacoustic Simulation in Automobile Muffler by using
the Exact Compressible Navier-Stokes Equation " ,ICCDF5(2008)-182
Splinger Verlag(2009.7 published)
[1] SPEZIALE,C.G.1991 "Analytical Methods for the development of
Reynolds stress closure in Turbulence Annual Review of Fluid MechanicsVOL.
23.pp107-57.
[2] LIGHTHILL,M.J 1952 On Sound Generated Aerodynamically
Proc.Roy.Soc(London) VOL.A 211.
[3] COLEMAN,B.D., AND NOLL, W. 1960 Arch. Rat. Mech. and Anal.
VOL.6 pp355
[4] OBIKANE, Y.1984 A numerical Computation of the Reynolds Stress in
Supersonic Inlet Flows AIAA Paper,AIAA-84-1364
[5] OBIKANE, Y.1983 Numerical Computation of turbulent flow Around
the spinner of a Turbofan Engine 13th International Symposium on air
breathing engine,paris.
[6] OBIKANE, Y.1979 Turbulence Modeling in Homogeneous Flows: Determination
of the Rapid Terms Ph.D.Dessertation,Cornell University
[7] MARGNAT, F & FORTUNE, V & JORDAN, P. & GERVAIS, Y2008 Analysis
of free-shear flow noise through a decomposition of the Lighthill
source term,5TH INTERNATIONAL CONFERENCE OF CFDSeul,Koria
[8] POPE, S. B.2000 Turbulent Flows,Cambridge University Press, Appendix
B
[9] Obikane,Y. Kuwahara,K. Direct Simulation for Acoustic near Fields
Using the Compressible Navier-Stokes Equation", ICCDF5(2008)-181,
Splinger Verlag(2009.7 published)
[10] Obikane,Y."Aeroacoustic Simulation in Automobile Muffler by using
the Exact Compressible Navier-Stokes Equation " ,ICCDF5(2008)-182
Splinger Verlag(2009.7 published)
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:62429", author = "Yasuo Obikane", title = "Research on the Correlation of the Fluctuating Density Gradient of the Compressible Flows", abstract = "This work is to study a roll of the fluctuating density
gradient in the compressible flows for the computational fluid dynamics
(CFD). A new anisotropy tensor with the fluctuating density
gradient is introduced, and is used for an invariant modeling technique
to model the turbulent density gradient correlation equation derived
from the continuity equation. The modeling equation is decomposed
into three groups: group proportional to the mean velocity, and that
proportional to the mean strain rate, and that proportional to the mean
density. The characteristics of the correlation in a wake are extracted
from the results by the two dimensional direct simulation, and shows
the strong correlation with the vorticity in the wake near the body.
Thus, it can be concluded that the correlation of the density gradient
is a significant parameter to describe the quick generation of the
turbulent property in the compressible flows.", keywords = "Turbulence Modeling , Density Gradient Correlation,Compressible", volume = "3", number = "12", pages = "1602-4", }