Abstract
Based on the momentum and constitutive equations, the modified Orr-Sommerfeld equation describing the flow stability in a cylindrical particle two-phase flow was derived. For a cylindrical particle two-phase boundary layer, the neutral stability curves and critical Reynolds number were given with numerical simulation. The results show that the cylindrical particles have a suppression effect on the flow instability, the larger the particle volume fraction and the particle aspect-ratio are, the more obvious the suppression effect is.
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References
LIN Jian-zhong. A research summarizaiton of flow characteristic of fiber suspensions [J].Mechanics in Engineering, 2000,22(6):11–17. (in Chinese)
Arranaga A B. Friction reduction characteristics of fibrous and colloidal substances[J].Nature, 1970,225:447–449.
Pilipenko V N, Kalinichenko N M, Lemak A S. Stability of the flow of a fiber suspension in the gap between coaxial cylinders[J].Sov Phy Dokl, 1981,26:646–648.
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.
Hinch E J. Mechanical models of dilute polymer solutions in strong flows[J].Phys Fluids, 1977,20:22–30.
Cintra J S, Tucker C L. Orthotropic closure approximation for flow-induced fiber orientation[J].J Rheol, 1995,39:1095–1122
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Contributed by Lupin Jian-zhong
Foundation item: the National Natural Science Foundation for Understanding Youth of China (19925210)
Biography: Lupin Jian-zhong (1958 ≈)
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Jian-zhong, L., De-ming, N. Research on the flow stability in a cylindrical particle two-phase boundary layer. Appl Math Mech 24, 631–637 (2003). https://doi.org/10.1007/BF02437863
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DOI: https://doi.org/10.1007/BF02437863