Researches on two-phase flows around a hydrofoil using Shan-Chen multi-phase LBM model
详细信息    查看全文
  • 作者:Xuelin Tang ; Shangyu Yang ; Fujun Wang
  • 关键词:Lattice Boltzmann model ; Shan ; Chen model ; Pseudopotential function ; Cavitating flows ; Hydrofoil
  • 刊名:Journal of Mechanical Science and Technology
  • 出版年:2016
  • 出版时间:February 2016
  • 年:2016
  • 卷:30
  • 期:2
  • 页码:575-584
  • 全文大小:1,282 KB
  • 参考文献:[1]S. Y. Chen and G. D. Doolen, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech., 30 (1998) 329–364.CrossRef MathSciNet
    [2]C. K. Aidun and J. R. Clausen, Lattice-Boltzmann method for complex flows, Annu. Rev. Fluid Mech., 42 (2010) 439–472.CrossRef MathSciNet
    [3]B. Y. Kang and S.-H. Kang, Effect of the flat tank bottom on performance and cavitation characteristics of a cargo pump, Journal of Mechanical Science and Technology, 28 (8) (2014) 3051–3057.CrossRef
    [4]X. Tang, L. Bian, F. Wang, X. Li and M. Hao, Numerical investigations on cavitating flows with thermodynamic effects in a diffuser-type centrifugal pump, Journal of Mechanical Science and Technology, 27 (6) (2013) 1655–1664.CrossRef
    [5]A. Randles and E. Kaxiras, Parallel in time approximation of the lattice Boltzmann method for laminar flows, Journal of Computational Physics, 270 (2014) 577–586.CrossRef MathSciNet
    [6]A. Tamur, M. Tsutahara and T. Kataok, Numerical simulation of two-dimensional blade-vortex interactions using finite difference Lattice Boltzmann method, AIAA Journal, 46 (9) (2008) 2235–2247.CrossRef
    [7]T. Imamura, K. Suzuki, T. Nakamura and M. Yoshida, Flow simulation around an airfoil by Lattice Boltzmann method on Generalized Coordinates, AIAA Journal, 43 (4) (2005) 1968–1973.CrossRef
    [8]K. Li, C. Zhong, C. Zhuo and J. Cao, Non-body-fitted Cartesian-mesh simulation of highly turbulent flows using multirelaxation-time lattice Boltzmann method, Computers and Mathematics with Applications, 63 (2012) 1481–1496.CrossRef MathSciNet MATH
    [9]J. Wu, C. Shu and Y. H. Zhang, Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary-lattice Boltzmann method, Int. J. Numer. Meth. Fluids, 62 (2010) 327–354.MathSciNet MATH
    [10]X. Shan and H. Chen, Lattice Boltzmann model for simulating flows with multiple phases and components, Physical Review E, 47 (3) (1993) 1815–1820.CrossRef
    [11]X. Shan and H. Chen, Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation, Physical Review E, 49 (4) (1994) 2941–2948.CrossRef
    [12]A. K. Gunstensen and D. H. Rothman, Lattice Boltzmann model of immiscible fluids, Physical Review A, 43 (8) (1991) 4320–4327.CrossRef
    [13]Q. Li, K. H. Luo and X. J. Li, Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model, Physical Review E, 87 (2013) 0533010–05330111.
    [14]M. R. Swift, W. R. Osborn and J. M. Yeomans, Lattice Boltzmann simulation of nonideal fluids, Physical Review Letters, 75 (5) (1995) 830–834.CrossRef
    [15]X. He and G. D. Doolen, Thermodynamic foundations of kinetic theory and Lattice Boltzmann models for multiphase flows, J. Stat. Phys., 107 (1/2) (2002) 309–328.CrossRef MATH
    [16]H. Huang, M. Krafczyk and X. Lu, Forcing term in singlephase and Shan-Chen-type multiphase lattice Boltzmann models, Physical Review E, 84 (2011) 0467101–0467101.
    [17]Q. Li and K. H. Luo, Achieving tunable surface tension in the pseudopotential lattice Boltzmann modeling of multiphase flows, Physical Review E, 88 (2013) 0533071–05330710.
    [18]R. Benzi, L. Biferale, M. Sbragaglia, S. Succi and F. Tosch, Mesoscopic modeling of a two-phase ?ow in the presence of boundaries: The contact angle, Physical Review E, 74 (2006) 0215091–02150914.CrossRef
    [19]X. Shan, Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models, Physical Review E, 73 (2006) 0477011–0477014.CrossRef
    [20]M. Sbragaglia, R. Benzi, L. Biferale, S. Succi, K. Sugiyama and F. Toschi, Generalized lattice Boltzmann method with multirange pseudopotential, Physical Review E, 75 (2007) 0267021–02670213.CrossRef MathSciNet
    [21]M. C. Sukop, Dani Or. Lattice Boltzmann method for homogeneous and heterogeneous cavitation, Physical Review E, 71 (2005) 04670311-0467035.CrossRef
    [22]A. L. Kupershtokh, D. A. Medvedev and D. I. Karpov, On equations of state in a lattice Boltzmann method, Computers and Mathematics with Applications, 58 (2009) 965–974.CrossRef MathSciNet MATH
    [23]X. Chen, C. Zhong and X. Yuan, Lattice Boltzmann simulation of cavitating bubble growth with large density ratio, Computers and Mathematics with Applications, 61 (12) (2011) 3577–3584.CrossRef MathSciNet MATH
    [24]W. Z. Li, B. Dong, Y. J. Feng and T. Sun, Numerical simulation of a single bubble sliding over a curved surface and rising process by the Lattice Boltzmann method, Numerical Heat Transfer Part B, 65 (2014) 174–193.CrossRef
    [25]R. Mei, D. Yu, W. Shyy and L. S. Luo, Force evaluation in the lattice Boltzmann method involving curved geometry, Physical Review E, 65 (4) (2002) 41201–41203.CrossRef
    [26]S. Succi, Lattice Boltzmann equation for fluid dynamics and beyond, Oxford: Clarendon press (2001).MATH
  • 作者单位:Xuelin Tang (1)
    Shangyu Yang (1)
    Fujun Wang (1)

    1. Beijing Engineering Research Centre of Safety and Energy Saving Technology for Water Supply Network System, China Agricultural University, Beijing, 100083, China
  • 刊物类别:Engineering
  • 刊物主题:Mechanical Engineering
    Structural Mechanics
    Control Engineering
    Industrial and Production Engineering
  • 出版者:The Korean Society of Mechanical Engineers
  • ISSN:1976-3824
文摘
In this paper, the Shan-Chen-type multiphase lattice Boltzmann model was proposed to investigate two-phase flows around a hydrofoil. In the model, The Shan-Chen force accounts for the attraction force calculated over nearest neighbours of the pseudopotential function, which is employed to mimic the molecular interactions that cause phase segregation. Firstly, the lattice Boltzmann model was validated by the liquid flows around a hydrofoil by means of comparison of drag coefficients and the Shan-Chen model was validated by the Laplace law. And then aiming at various existing bubbles of different radii preplaced above the hydrofoil leading edge, the evolution of gasliquid two-phase flows was successfully reproduced based on heterogeneous cavitation assumption. The shedding bubbles become smaller and smaller downstream the hydrofoil, and finally collapse behind the tailing edge. The inter-particle forces are analyzed based on the two-phase flow density, and then the corresponding pseudo-velocity distribution is predicted near the phase interface. Then the attached cavitating flows is studied based on homogeneous cavitation assumption. It can be concluded that the attached cavitation occurs and evolves under some reasonable conditions. It can be found that that a small change in the velocity or pressure will bring great influence on the bubble size. All the above-analyses demonstrate that Shan-Chen multiphase model can capture well the inter-phase force and can be treated as an alternative potential approach for predicting cavitating flows. Keywords Lattice Boltzmann model Shan-Chen model Pseudopotential function Cavitating flows Hydrofoil

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700