Stability analysis in spatial mode for channel flow of fiber suspensions

Applied Mathematics and Mechanics (English Edition)

Volumn 24, Issue 8, 2003, Pages 871-879

  Lin, Jian Zhong ^a   You, Zhen Jiang ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Channel flow; Fiber suspensions; Flow stability; Spatial mode

Indexed keywords

FIBERS; NUMERICAL ANALYSIS; REYNOLDS NUMBER; STABILITY; STRETCHING; SUSPENSIONS (FLUIDS);

ANGULAR FREQUENCY; FIBER SUSPENSIONS; FLOW STABILITY; SPATIAL MODE;

CHANNEL FLOW;

EID: 1242275309     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02446491     Document Type: Article

References (14)

1. Arrannaga A B. Friction reduction characteristics of fibrous and colloidal substances [J]. Nature, 1970, 225: 447-449.
2. Yang Y, Chung J N, Troutt T R. The influence of particles on the spatial stability of two-phase mixing layers [J]. Physics of Fluids A, 1990, 2: 1839-1845.
3. ZHOU Ze-xuan, LIN Jian-zhong. Effect of suspended solid particles on unstability of two-dimension mixing layer [J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(6): 543-549.
4. Azaiez J. Linear stability of free shear flows of fiber suspensions [J]. J Fluid Mech, 2000, 404: 179-209.
5. Azaiez J. Reduction of free shear flows instability: Effects of polymer versus fiber additives [J]. J Non-Newtonian Fluid Mech, 2000, 91: 233-254.
6. Itoh N. A power series method for the numerical treatment of the Orr-Sommerfeld equation [J]. Trans Japan Soc Aero Space Sci, 1974, 17: 65-75.
7. Nishioka M, Iida S, Ichikawa Y. An experimental investigation of the stability of plane Poiseuille flow [J]. J Fluid Mech, 1975, 72: 731-751.
8. Batchelor G K. The stress generated in a non-dilute suspension of elongational particles by pure straining [J]. J Fluid Mech, 1971, 46: 813-829.
9. Hinch E J. Mechanical models of dilute polymer solutions in strong flows [J]. Phys Fluids, 1977, 20: 22-30.
10. Folgar F P, Tucker C L. Orientation behavior of fibers in concentrated suspensions [J]. J Reinf Plast Comp, 1984, 3: 98-119.
11. Cintra J S, Tucker C L. Orthotropic closure approximation for flow-induced fiber orientation [J]. J Rheol, 1995, 39: 1095-1122.
12. Thomas L H. The stability of plane Poiseuille flow [J]. Phys Rev, 1953, 91: 780-783.
13. Orszag S A. Accurate solution of the Orr-Sommerfeld stability equation [J]. J Fluid Mech, 1971, 50: 689-703.
14. Pekeris C L, Shkoller B. Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curve [J]. J Fluid Mech, 1967, 29: 31-38.