| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Role of Viscosity Stratification and Insoluble Surfactant in Instability of Two-Layer Channel Flow |
PENG Jie, ZHU Ke-Qin |
| Department of Engineering Mechanics, Tsinghua University,Beijing 100084 |
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| Cite this article: |
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PENG Jie, ZHU Ke-Qin 2010 Chin. Phys. Lett. 27 044703 |
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Abstract We study, for the case of the two layer plane Poiseuille flow, the effect of viscosity stratification and interfacial surfactant on the flow instability. Considering a normal mode of the streamwise wave number α, both the linear and energy analyses are presented. The expressions of perturbation energy supplied at the interface are derived. The result demonstrates that the jumps of horizontal velocity and tangential stress of the perturbed flow across the interface could be induced by the presence of viscosity stratification and surfactant. This is expected to be responsible for the Yih and Marangoni instability.
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| Keywords:
47.20.Dr
47.20.Ma
47.55.Pf
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Received: 10 October 2009
Published: 27 March 2010
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| PACS: |
47.20.Dr
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(Surface-tension-driven instability)
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47.20.Ma
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(Interfacial instabilities (e.g., Rayleigh-Taylor))
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47.55.pf
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(Marangoni convection)
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[2] Yih C S, 1967 J. Fluid Mech. 27 337
[3] Frenkel A L and Halpern D 2002 Phys. Fluids 14 45
[4] Halpern D and Frenkel A L 2003 J. Fluid Mech. 485 191
[5] Albert F and Charru F 2000 Eur. J. Mech. B 19 229
[6] Hu H H and Joseph D D 1989 J. Fluid Mech. 205 359
[7] Newhouse L A and Pozrikidis C 1992 J. Fluid Mech. 242 193 |
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