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DYNAMIC STABILITY OF NON-DILUTE FIBER SHEAR SUSPENSIONS

ABSTRACT
Temporal stability analysis of fiber suspended shear flow is performed. After introducing the second order structure tensor to determine the Folgar-Tucker inter-fiber interactions based on the Langevin’s equation, a system governing the flow stability is derived in conjunction with the fiber orientation closure. Effect of the inter-fiber interactions on the dynamic stability is studied by solving the general eigenvalue problem. Results show that fiber interaction has significant stabilizing effects on the flow. The most unstable wave number changes with the interaction coefficient. For given interaction coefficient, wave number and other relevant parameters, there is a Re number which corresponds to the critical flow. This Re number is related to the wave number.
KEYWORDS
PAPER SUBMITTED: 2012-08-01
PAPER REVISED: 2012-08-23
PAPER ACCEPTED: 2012-09-02
DOI REFERENCE: https://doi.org/10.2298/TSCI1205551W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Issue 5, PAGES [1551 - 1555]
REFERENCES
  1. Lin, J. Z., Zhang, L. X., Zhang, W. F., Rheological Behavior of Fiber Suspensions in a Turbulent Channel Flow. Journal of Colloid and Interface Science, 296 (2006), 2, pp. 721-728
  2. Lin, J. Z., Shen, S. H., A Theoretical Model of Turbulent Fiber Suspension and its Application to the Channel Flow, Science China, Physics, Mechanics & Astronomy, 53 (2010), 9, pp. 1659-1670
  3. Ericksen, J. L., Anisotropic Fluids, Archive for Rational Mechanics and Analysis 4 (1960), 1, pp. 231- 237
  4. Hand, G. L., A Theory of Anisotropic Fluids, Journal of Fluid Mechanics 13 (1962), 1, pp. 33-46
  5. Batchelor, G. K., Slender-Body Theory for Particles of Arbitrary Cross-Section in Stokes Flow, Journal of Fluid Mechanics 44 (1970), 3, pp. 419-440
  6. Lin, J. Z., Zhang, W. F. Yu, Z. S., Numerical Research on the Orientation Distribution of Fibers Immersed in Laminar and Turbulent Pipe Flows, Journal of Aerosol Science 35 (2004), 1, pp. 63-82
  7. Lin, J. Z., Shi, X., Yu, Z. S., The Motion of Fibers in an Evolving Nixing Layer, Int. J. Multiphase flow, 29 (2003), 8, pp. 1355-1372
  8. Nsom, B., Computation of Drag Reduction in Fiber Suspensions, Fluid Dynamics Research 14 (1994), 5, pp. 275-288
  9. Lin, J. Z., Chai, X. C., Olson, J. Z., Research on the Interaction of Three Contact Fibers in the Fiber Suspensions, Journal of Material Science, 40 (2005), 5, pp. 1183-1191
  10. Lin, J. Z., Zhang, Z. C., Yu, Z. S., Investigation of the Interactions between Two Contacting Fibers in the Fiber Suspensions, Journal of Material Science, 38 (2003), 7, pp. 1499-1505
  11. Azaiez, J., Linear Stability of Free Shear Flows of Fiber Suspensions, Journal of Fluid Mechanics, 404 (2000), 1, pp. 179-209
  12. Fan, X., Phan-Thien, N., Zheng, R., A Direct Simulation of Fiber Suspensions, Journal of Non- Newtonian Fluid Mechanics, 74 (1998), 1-3, pp. 113-135
  13. Rahnama, M., Koch, D. L., Shaqfeh, E. S. G., The Effect of Hydrodynamic Interactions on the Orientation Distribution in a Fiber Suspension Subject to Simple Shear Flow, Physics of Fluids, 7 (1995), 3, pp. 487-506
  14. Wan, Z. H., Lin, J. Z., You, Z. J., The Effects of Closure Model of Fiber Orientation Tensor on the Instability of Fiber Suspensions in the Taylor-Couette Flow, Modern Physics Letters B, 21 (2007), 24, pp. 1611-1624
  15. Gupta, V. K., Sureshkumar, R., Khomami, B., Azaiez, J., Centrifugal Instability of Semi-Dilute Non- Brownian Fiber Suspensions, Physics of Fluids, 14 (2002), 6, pp. 1958-1971
  16. Brady, J. F., Morris, J. F., Microstructure of Strongly Sheared Suspensions and Its Impact on Rheology and Diffusion, Journal of Fluid Mechanics, 348 (1997), pp. 103-139
  17. Hinch, E. J., Leal, L. G., Constitutive Equations in Suspension Mechanics, Part 2, Approximate Form for a Suspension of Rigid Particles Affected by Brownian Rotations, Journal of Fluid Mechanics, 76 (1976), pp. 187-208
  18. Yamane, Y., Kaneda, Y., Doi, M., The Effect of Interaction of Rodlike Particles in Semi-Dilute Suspensions under Shear Flow, J. of the Physical Society of Japan, 64 (1995), 9, pp. 3265-3274
  19. Folgar, F., Tucker, C. L., Orientation Behaviour of Fibers in Concentrated Suspensions, J. Reinf. Plast. Comp., 3 (1984), 2, pp. 98-119

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