Research on the Motion of Particles in the Turbulent Pipe Flow of Fiber Suspensions

ZHANG Wei-feng; LIN Jian-zhong

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(7): 677-685

ZHANG Wei-feng, LIN Jian-zhong. Research on the Motion of Particles in the Turbulent Pipe Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2004, 25(7): 677-685.

Citation:

ZHANG Wei-feng, LIN Jian-zhong. Research on the Motion of Particles in the Turbulent Pipe Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2004, 25(7): 677-685.

Citation:

ZHANG Wei-feng, LIN Jian-zhong. Research on the Motion of Particles in the Turbulent Pipe Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2004, 25(7): 677-685.

PDF( 1698 KB)

Research on the Motion of Particles in the Turbulent Pipe Flow of Fiber Suspensions

Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China

Received Date: 2003-08-12
Rev Recd Date: 2004-03-12
Publish Date: 2004-07-15

Abstract

Abstract

The motion of fibers in turbulent pipe flow was simulated by 3-D integral method based on the slender body theory and simplified model of turbulence.The orientation distribution of fibers in the computational area for different Re numbers was computed.The results which were consistent with the experimental ones show that the fluctuation velocity of turbulence cause fibers to orient randomly.The orientation distributions become broader as the Re numer increases.Then the fluctuation velocity and angular velocity of fibers were obtained.Both are affected by the fluctuation velocity of turbulence. The fluctuation velocity intensity of fiber is stronger at longitudinal than at lateral,while it was opposite for the fluctuation angular velocity intensity of fibers.Finally,the spatial distribution of fiber was give.It is obvious that the fiber dispersion is strenghened with the increase of Re numbers.
- fiber suspension,
- numerical simulation,
- pipe flow,
- turbulent,
- orientation

FullText(HTML)

References(11)

References

[1]	Batchelor G K.Slender-body theory for particles of arbitrary cross-section in Stokes flow[J].J Fluid Mech,1970,44(3):419—440. doi: 10.1017/S002211207000191X
[2]	Leal L G,Hinch E J.The effect of weak Brownian rotations on particles in shear flow[J].J Fluid Mech,1971,46(4):685—703. doi: 10.1017/S0022112071000788
[3]	林建忠，石兴，邵雪明，等.纤维悬浮混合层中纤维取向与流场应力的研究[J].自然科学进展，2002，12(4)：372—376.
[4]	林建忠，林江，石兴.两相流中柱状固粒对流体湍动特性影响的研究[J].应用数学和力学，2002,23(5):483—488.
[5]	LIN Jian-zhong,ZHANG Wei-feng,WANG Ye-long.Research on the orientation distribution of fibers immersed in a pipe flow[J].Journal of Zhejiang University Science,2002,3(5):501—506. doi: 10.1631/jzus.2002.0501
[6]	Bernstein O,Shapiro M.Direct determination of the orientation distribution function of cylindrical particles immersed in laminar and turbulent flow[J].J Aerosol Aci,1994,25(1):113—136.
[7]	Olson J A.The motion of fibres in turbulent flow,stochastic simulation of isotropic homogeneous turbulence[J].Int J Multiphase Flow,2001,27:2083—2103. doi: 10.1016/S0301-9322(01)00050-7
[8]	WANG Lian-ping,Stock D E.Numerical simulation of heavy particle dispersion-scale ratio and flow decay considerations[J].J Fluids Eng Trans ASME,1994,116:154—163. doi: 10.1115/1.2910224
[9]	Fung J C H,Hunt J C R,Malik N A,et al.Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes[J].J Fluid Mech,1992,236:281—318. doi: 10.1017/S0022112092001423
[10]	Laufer J.The structure of turbulence in fully developed pipe flow[J].Natl Advisory Comm Aeronaut Tech Repts,1954,1174:417—434.
[11]	Mackaplow M B,Shaqfeh E S G.A numerical study of the sedimentation of fibre suspension[J].J Fluid Mech,1998,376:149—182. doi: 10.1017/S0022112098002663