Instability investigation of creeping viscoelastic flows between the rotating cylinders

被引:0
作者
M. M. Shahmardan
M. H. Sedaghat
M. Norouzi
机构
[1] University of Shahrood,Mechanical Engineering Department
来源
Theoretical Foundations of Chemical Engineering | 2015年 / 49卷
关键词
Creeping Flow; Rotating Cylinders; Instability; Viscoelastic;
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摘要
In this paper, instability in the creeping viscoelastic flow between the rotating cylinders is investigated numerically. Due to the low speed of flow field, the second order fluid (SOF) model is used as the constitutive equation and the governing equations are solved by a second order finite difference method based on the artificial compressibility algorithm in a staggered mesh. The effects of normal stress differences on the flow stability are investigated for a wide range of gap ratios. Unlike the previous studies, the origin and mechanism of flow instability resulted from normal stress differences are investigated in detail. Numerical results indicate that the hoop stress and radial-normal stress components are appeared in viscoelastic flows between the rotating cylinders and they have an important role on the flow stability.
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页码:592 / 605
页数:13
相关论文
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[1]  
Taylor G.I.(1923)Stability of a viscous liquid contained between two rotating cylinders Trans. Roy. Soc. London, Ser. A 223 289-343
[2]  
Gollub J.(1976)Optical heterodyne test of perturbation expansions for the Taylor instability Phys. Fluids 19 618-626
[3]  
Frelich M.(1986)An experimental study of the connection between the hydrodynamic and phase transition description of Couette—Taylor instability Phys. Scr. 34 427-431
[4]  
Berland T.(1988)Experimental test of the perturbation expansion for Taylor instability at various wave number Phys. Fluids 31 250-255
[5]  
Jossang T.(1998)Spatio-temporal character of non-wavy and wavy Taylor—Couette flow J. Fluid Mech. 364 59-80
[6]  
Feder J.(1970)Waveforms in rotating Couette flow Int. J. Nonlinear Mech. 5 659-685
[7]  
Heinrichs R.(2004)Numerical study of Taylor—Couette flow with an axial flow Comput. Fluids 33 97-118
[8]  
Cannell D.S.(1984)Simulation of Taylor—Couette flow. Part 2. Numerical result for wavy vortex flow with one traveling wave J. Fluid Mech. 146 65-113
[9]  
Ahlers G.(1985)The transition to wavy Taylor vortices J. Fluid Mech. 157 135-162
[10]  
Jefferson M.(2009)Instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces Eur. J. Mech. B. Fluids 28 722-727