Advertisement

Flow of power-law fluid past a circular cylinder in the vicinity of a moving wall

  • P. J. Zhang
  • J. Z. LinEmail author
  • X. K. Ku
Technical Paper
  • 18 Downloads

Abstract

In this paper, the flow of power-law fluid over a circular cylinder near a moving wall is simulated numerically using a finite volume method for different Reynolds numbers (Re = 1, 10, 40), gap ratios (G/D = 0.2–1.0), and power-law indices (n = 0.5–1.5). The effects of fluid inertia, wall proximity, and rheological property on the drag and lift coefficient, gap flow characteristics, and recirculation modes are studied. Possible mechanisms for the variation of the drag and lift coefficient and the change in recirculation mode are addressed. The results show that the decrease in G/D or Re results in the increase in drag and lift coefficient, while the effect of n is dependent on Re and G/D. For the drag coefficient, shear-thickening fluid is more sensitive to the change of G/D. The variation of the lift coefficient can be explained by the movement of angular position of the front stagnation point. The redistribution of the flow around the cylinder results in different recirculation modes. Five distinct modes are found and the critical value of G/D for the mode change decreases with the decrease in n and increase in Re. Variation of the relative vortex intensity and the relative flow intensity nearby leads to the change of recirculation mode.

Keywords

Power-law fluid Flow past a near-wall cylinder Wall proximity effect Recirculation mode Numerical simulation 

Notes

Acknowledgements

The authors would like to thank the Major Program of National Natural Science Foundation of China (Grant No. 11632016).

References

  1. 1.
    Bearman PW, Zdravkovich MM (1978) Flow around a circular cylinder near a plane boundary. J Fluid Mech 89:33–47CrossRefGoogle Scholar
  2. 2.
    Grass AJ, Raven PW, Stuart RJ, Bray JA (1984) The influence of boundary layer velocity gradients and bed proximity on shedding from free spanning pipelines. ASME J Energy Resour 106:70–78CrossRefGoogle Scholar
  3. 3.
    Taniguchi S, Miyakoshi K (1990) Fluctuating fluid forces acting on a circular cylinder and interference with a plane wall-effects of boundary layer thickness. Exp Fluids 9:197–204CrossRefGoogle Scholar
  4. 4.
    Price SJ, Sumner D, Smith JG, Leong K, Paidoussis MP (2002) Flow visualization around a circular cylinder near to a plane wall. J Fluid Mech 16:175–191Google Scholar
  5. 5.
    Lin WJ, Lin C, Hsieh SC, Dey S (2009) Flow characteristics around a circular cylinder placed horizontally above a plane boundary. J Eng Mech 135:697–716CrossRefGoogle Scholar
  6. 6.
    Harichandan AB, Roy A (2012) Numerical investigation of flow past single and tandem cylindrical bodies in the vicinity of a plane wall. J Fluids Struct 33:19–43CrossRefGoogle Scholar
  7. 7.
    Raiola M, Ianiro A, Discetti S (2016) Wake of tandem cylinders near a wall. Exp Therm Fluid Sci 78:354–369CrossRefGoogle Scholar
  8. 8.
    Cheng M, Luo LS (2007) Characteristics of two-dimensional flow around a rotating circular cylinder near a plane wall. Phys Fluids 19(6):93–184CrossRefGoogle Scholar
  9. 9.
    Taneda S (1965) Experimental investigation of vortex streets. J Phys Soc Jpn 20:1714–1721CrossRefGoogle Scholar
  10. 10.
    Nishino T, Roberts G, Zhang X (2007) Vortex shedding from a circular cylinder near a moving ground. Phys Fluids 19:025103-1–025103-12CrossRefGoogle Scholar
  11. 11.
    Huang WX, Sung HJ (2007) Vortex shedding from a circular cylinder near a moving wall. J Fluids Struct 23:1064–1076CrossRefGoogle Scholar
  12. 12.
    Roshko A (1954) On the drag and shedding frequency of two-dimensional bluff bodies. Technical report archive and image libraryGoogle Scholar
  13. 13.
    Li Z, Jaiman RK, Khoo BC (2016) An immersed interface method for flow past circular cylinder in the vicinity of a plane moving wall. Int J Numer Methods Fluids 81:611–639MathSciNetCrossRefGoogle Scholar
  14. 14.
    Jiang HY, Cheng L, Draper S, An HW (2017) Two- and three-dimensional instabilities in the wake of a circular cylinder near a moving wall. J Fluid Mech 812:435–462MathSciNetCrossRefGoogle Scholar
  15. 15.
    Rao A, Thompson MC, Leweke T, Hourigan K (2013) The flow past a circular cylinder translating at different heights above a wall. J Fluids Struct 41:9–21CrossRefGoogle Scholar
  16. 16.
    Stewart BE, Thompson MC, Leweke T, Hourigan K (2010) The wake behind a cylinder rolling on a wall at varying rotation rates. J Fluid Mech 648:225–256CrossRefGoogle Scholar
  17. 17.
    Gupta AK, Sasmal C, Sairamu M, Chhabra RP (2014) Laminar and steady free convection in power-law fluids from a heated spheroidal particle: a numerical study. Int J Heat Mass Transf 75:592–609CrossRefGoogle Scholar
  18. 18.
    Turan O, Sachdeva A, Poole RJ, Chakraborty N (2012) Laminar natural convection of power-law fluids in a square enclosure with differentially heated sidewalls subjected to constant wall heat flux. J Heat Transf 134:122504CrossRefGoogle Scholar
  19. 19.
    Sadeghi H, Izadpanah E, Rabiee MB, Hekmat MH (2017) Effect of cylinder geometry on the heat transfer enhancement of power-law fluid flow inside a channel. J Braz Soc Mech Sci 39:1695–1707CrossRefGoogle Scholar
  20. 20.
    Metzner AB, Reed JC (1955) Flow of non-Newtonian fluids: correlation of the laminar, transition, and turbulent-flow regions. AIChE J 1:434–440CrossRefGoogle Scholar
  21. 21.
    D’Alesso SJD, Pascal JP (1996) Steady flow of a power-law fluid past a cylinder. Acta Mech 177:87–100CrossRefGoogle Scholar
  22. 22.
    Sivakumar P, Bharti RP, Chhabra RP (2007) Steady flow of power-law fluids across an unconfined elliptical cylinder. Chem Eng Sci 62:1682–1702CrossRefGoogle Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Department of Mechanics, State Key Laboratory of Fluid Power and Mechatronic SystemsZhejiang UniversityHangzhouPeople’s Republic of China

Personalised recommendations