Research on Fluid Mechanics with the Finite Analytic/Grid Method for Two-Phase Turbulence Based on PDF Theory

Wei Wei Ye; Jiang Rong Xu; Su Juan Hu; Ying Tian

doi:10.4028/www.scientific.net/AMM.345.331

Paper Titles

Numerical Simulation of Residual Stress Field Induced by Water-Jet Cavitation Peening
p.312

Stability Analysis for Horizontal Boom with Double Pulling Rods under Non-Conservative Forces
p.316

Elastic-Plastic Deformation of Milling Thin Wall Part
p.321

Numerical Computation Studies and Hydrodynamic Analysis on the Cutting-Carrying and Lifting Capacity of Spiral Centralizer in Gas Drilling
p.325

Research on Fluid Mechanics with the Finite Analytic/Grid Method for Two-Phase Turbulence Based on PDF Theory
p.331

Fluid Dynamic Simulation of a Wall-Jet-Flow Loaded with Solid Particles Using the Finite Analytic/Grid Method of PDF Model
p.336

Static Instability of a Restrained Cantilever Column with a Tip Mass Subjected to a Subtangential Follower Force
p.341

Flow-Induced Noise Radiation from the Rotational Bodies Based on Fluid Mechanics Using Hybrid Immersed Boundary Lattice-Boltzmann/FW-H Method
p.345

Numerical Simulation of Filling Process in Casting Based on a Hybrid Lattice Boltzmann and Particle Level Set Model
p.349

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 345Research on Fluid Mechanics with the Finite...

Research on Fluid Mechanics with the Finite Analytic/Grid Method for Two-Phase Turbulence Based on PDF Theory

Abstract:

in this paper, a finite analysis/grid method for high-dimensional PDF equation of fluid mechanics of two phase flow is proposed. The particle high-dimensional scalar PDF transport equation in position-velocity phase space is reduced to velocity phase space and position phase space. An analytical solution of the particle velocity PDF is obtained by Fokker-Planck techniques, the particle position PDF is solved by finite difference method, which determines the distribution of particles in two-phase flow. It is shown that the Finite Analytic/Grid method can simulate the two-phase flow very efficiently.

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Periodical:

Applied Mechanics and Materials (Volume 345)

Pages:

331-335

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.345.331

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Online since:

August 2013

Authors:

Wei Wei Ye, Jiang Rong Xu, Su Juan Hu, Ying Tian

Keywords:

Computational Fluid Mechanics, Finite Analytic/Grid Method, Turbulence, Two-Phase PDF Model

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References

[1] Zhou Lihang, turbulent multiphase reaction fluid mechanics [M], National Defence Industry Press, 2002. 139-156.

Google Scholar

[2] Risken H, The Fokker-Planck Equation: Methods of solution and applications[M]: 2nd ed, Springer, New York, (1989).

Google Scholar

[3] Lghtstone M.F. and Raithby G.D. ，A Stochastic Model of Particle Dispersion in a Turbulent Gaseous Environment, Combustion and Flame 113, 1998: 424-441.

DOI: 10.1016/s0010-2180(97)00235-6

Google Scholar

[4] LI Zhaoxiang, XU J R, YANG Z H, A Two-phase Turbulence PDF Model with Expanding Dimension Method of Colored Noise and Simulation of Wall-jet-flows. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(1): 38-44.

Google Scholar

[4] Xu Jiangrong Zhou Junhu. The PDF theory of two-phase turbulent flow and Its numerical simulation method(M), Science Press, 2008. 4.

Google Scholar

[5] Xu Jiangrong，Zhou Junhu，Zhang Ping，Cen Kefa，A Particle Tracing Scheme for Fokker-Planck Equation in Finite Analytic/Monte Carlo Methods，Chinese Journal of Theoretical and Applied Mechanics. 2006, 38(1)，73-78.

Google Scholar

[6] Wells M R, Stock D E. The effects of crossing trajectories on the dispersion of particles in a turbulent flow. Journal of Fluid Mechanics, 1983, 136: 31-36.

DOI: 10.1017/s0022112083002049

Google Scholar