Numerical Simulation of Viscous Flow over a Grooved Surface by the Lattice Boltzmann Method

doi:10.1007/s12204-016-1705-4

Abstract

Abstract: The motivation of this work is to investigate a grooved surface’s drag reduction. The viscous flow through a two-dimensional microchannel with the grooved surface is analyzed by the lattice Boltzmann method (LBM). The effects of the grooved surface on the streamline patterns, the velocity distributions near wall region and the fluid shear stress distributions on the walls at different Reynolds numbers are studied. In addition, the influences of the groove’s geometrical parameters on the grooved surface’s drag reduction are discussed. The numerical results confirm the grooved surface’s drag reduction and present the drag reduction law of the grooved surface.

Key words: grooved surface| drag reduction| viscous flow| lattice Boltzmann method (LBM)| momentumexchange method

摘要： The motivation of this work is to investigate a grooved surface’s drag reduction. The viscous flow through a two-dimensional microchannel with the grooved surface is analyzed by the lattice Boltzmann method (LBM). The effects of the grooved surface on the streamline patterns, the velocity distributions near wall region and the fluid shear stress distributions on the walls at different Reynolds numbers are studied. In addition, the influences of the groove’s geometrical parameters on the grooved surface’s drag reduction are discussed. The numerical results confirm the grooved surface’s drag reduction and present the drag reduction law of the grooved surface.

关键词: grooved surface| drag reduction| viscous flow| lattice Boltzmann method (LBM)| momentumexchange method

CLC Number:

O 357.5

HUANG Qiaogao (黄桥高), PAN Guang*(潘光). Numerical Simulation of Viscous Flow over a Grooved Surface by the Lattice Boltzmann Method[J]. Journal of shanghai Jiaotong University (Science), 2016, 21(2): 143-150.

References 20

[1]	BECHERT D W, BRUSE M, HAGE W, et al. Fluid mechanics of biological surfaces and their technological application [J]. Naturwissenschaften, 2000, 87(4): 157-171.
[2]	FROHNAPFEL B, JOVANVI′C J, DELGADO A.Experimental investigations of turbulent drag reduction by surface-embedded grooves [J]. Journal of Fluid Mechanics, 2007, 590: 107-116.
[3]	YAO Y, LU C J, SI T, et al.Water tunnel experimental investigation on the drag reduction characteristics of the traveling wavy wall [J]. Journal of Hydrodynamics,Ser B, 2011, 23(1): 65-70.
[4]	BECHERT D W, BRUSE M, HAGE W. Experiments with three-dimensional riblets as an idealized model of shark skin [J]. Experiments in Fluids, 2000,28(5): 403-412.
[5]	ITOH M, TAMANO S, IGUCHI R, et al. Turbulent drag reduction by the seal fur surface [J]. Physics of Fluids, 2006, 18(6): 065102.
[6]	TIAN L, REN L, LIU Q, et al. The mechanism of drag reduction around bodies of revolution using bionic non-smooth surfaces [J]. Journal of Bionic Engineering,2007, 4(2): 109-116.
[7]	EL-SAMNI O A, CHUN H H, YOON H S. Drag reduction of turbulent flow over thin rectangular riblets[J]. International Journal of Engineering Science,2007, 45(2): 436-454.
[8]	BRENNER G, AL-ZOUBI A, MUKINOVIC M, et al. Numerical simulation of surface roughness effects in laminar lubrication using the lattice-Boltzmann method [J]. Journal of Tribology, 2007, 129(3): 603-610.
[9]	AL-ZOUBI A, BRENNER G. Simulating fluid flow over sinusoidal surfaces using the lattice Boltzmann method [J]. Computers & Mathematics with Applications,2008, 55(7): 1365-1376.
[10]	VARNIK F, DORNER D E E, RAABE D.Roughness-induced flow instability: A lattice Boltzmann study [J]. Journal of Fluid Mechanics, 2007,573: 191-209.
[11]	SHAN X, DOOLEN G. Multicomponent lattice-Boltzmann model with interparticle interaction [J].Journal of Statistical Physics, 1995, 81(1-2): 379-393.
[12]	LADD A J C, VERBERG R. Lattice-Boltzmann simulations of particle-fluid suspensions [J]. Journal of Statistical Physics, 2001, 104(5-6): 1191-1251.
[13]	LIM C Y, SHU C, NIU X D, et al. Application of lattice Boltzmann method to simulate microchannel flows [J]. Physics of Fluids, 2002, 14(7): 2299-2308.
[14]	HUANG H, WANG L, LU X. Evaluation of three lattice Boltzmann models for multiphase flows in porous media [J]. Computers & Mathematics with Applications,2011, 61(12): 3606-3617.
[15]	CHEN S, DOOLEN G D. Lattice Boltzmann method for fluid flows [J]. Annual Review of Fluid Mechanics,1998, 30(1): 329-364.
[16]	YU D, MEI R, LUO L S, et al. Viscous flow computations with the method of lattice Boltzmann equation[J]. Progress in Aerospace Sciences, 2003, 39(5): 329-367.
[17]	RAHMATI A R, ASHRAFIZAADEH M. A generalized lattice Boltzmann method for three-dimensional incompressible fluid flow simulation [J]. Journal of Applied Fluid Mechanics, 2009, 2(1): 71-95.
[18]	GUO Z, ZHENG C, SHI B. An extrapolation method for boundary conditions in lattice Boltzmann method[J]. Physics of Fluids, 2002, 14(6): 2007-2010.
[19]	MEI R, YU D, SHYY W, et al. Force evaluation in the lattice Boltzmann method involving curved geometry[J]. Physical Review E, 2002, 65(4): 041203.
[20]	HUANG Q G, PAN G, WU H, et al. Investigation about drag reduction water tunnel experiment and mechanism of superhydrophobic surface [J]. Journal of Experiments Fluid Mechanics, 2011, 25(5): 21-25 (in Chinese).