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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Cavitating Flow between Two Shear Moving Parallel Plates and Its Control

Discontinuity, Nonlinearity, and Complexity 4(3) (2015) 371--379 | DOI:10.5890/DNC.2015.09.011

Yan Liu$^{1}$, Sheng Ren$^{2}$, Jiazhong Zhang$^{3}$

$^{1}$ School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China

$^{2}$ Standard and Quality Control Research Institute of the Ministry of Water Resources, Hangzhou 310012, P. R. China

$^{3}$ School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. China

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Abstract

Two parallel plates with shear moving velocity in opposite direction is introduced as external excitations to induce cavitating flow between them, and a developed scheme based on Lattice Boltzmann method is used to simulate and analyze the evolution of the cavitation or phase transition. First, the principles and simulation process of Lattice Boltzmann method and potential models for single component multiphase flow are introduced, including a special model to the moving boundary conditions. Then, the numerical simulations of evolution of phase transition, induced by shear motions of two parallel plates, are carried out in detail, and the complicated pattern formation of cavitating flows are analyzed in such micro- and multiphase dynamic system and some new results are obtained. In particular, the influences of main parameters, such as initial density and moving velocity, on the cavitation and flow pattern are studied further. The results show that the shear moving motion of two parallel plates could induce the cavitation, and the cavitation and cavitating flow pattern could be controlled availably and efficiently by the main parameters listed above. Further, the method and analysis could be extended to flowing liquid, and an idea of drag reduction utilizing the cavitation due to phase transition in such liquid is proposed.

Acknowledgments

This research is supported by the National Natural Science Foundation of China (No51305355), the China Scholarship (No.201406295017), the National Key Technology R&D Program of China, (2013BAF01B02), and the National Fundamental Research Program of China (973 Program, No.2012CB026002).

References

  1. [1]  Ceccio, S.L. (2010), Friction drag reduction of external flows with bubble and gas injection, Annual Review of Fluid Mechanics, 42, 183-203.
  2. [2]  Cao,W.,Wei, Y.,Wang, C., Zou Z. and Huang,W. (2006), Current status, problems and applications of supercavitation technology, Advances in Mechanics, 36(4), 571-579. (in Chinese).
  3. [3]  Zhang, B., Zhang, Y. and Yuan, X. (2009), Effects of the profile of a supercavitating vehicle's front-end on supercavity generation, Journal of Marine Science and Application, 8(4), 323-327.
  4. [4]  Vlasenko, Y.D. (1998), Experimental investigations of high-speed unsteady supercavitating flows, Proc. Third International Symp. on Cavitation, 39-44.
  5. [5]  Savchenko, Y.N., Vlasenko, Y.D., and Semenenko, V. (1999), Experimental studies of high-speed cavitated flows, International Journal of Fluid Mechanics Research, 26 (3), 365-374.
  6. [6]  Singhal, A.K., Athavale, M.M., Li, H. and Jiang, Y. (2002), Mathematical basis and validation of the full cavitation model, Journal of Fluids Engineering-Transactions of the ASME, 124 (3), 617-624.
  7. [7]  Chen, X. and Lu, C.J. (2005), Numerical simulation of ventilated cavitating flow around a 2D foil, Journal of Hydrodynamics, 17 (5), 607-614.
  8. [8]  Kawakami E. and Arndt R.E.A. (2011), Investigation of the behavior of ventilated supercavities, Journal of Fluids Engineering-Transactions of the ASME, 133 (9), 091305.
  9. [9]  Li, X.B., Wang G.Y., Zhang, M.D. and Shyy,W. (2008), Structures of supercavitating multiphase flows, International Journal of Thermal Sciences, 47 (10), 1263-1275.
  10. [10]  Zhang, M.D.,Wang, G.Y., Dong, Z.Q., Li, X.B., and Gao, D.M. (2008), Experimental observations of cavitating flows around a hydrofoil, Journal of Beijing Institute of Technology, 17 (3), 274-279.
  11. [11]  Ren, S, Zhang, J.Z., Zhang, Y.M., and Wei, D. (2014), Phase transition in liquid due to zero-net mass-flux jet and its numerical simulation using lattice Boltzmann method, Acta Physica Sinica, 63(2), 024702. (in Chinese).