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Convective instability mechanisms in thermocapillary liquid bridges (1995)

Wanschura, M. ; Shevtsova, V. M. ; Kuhlmann, H. C. ; [et al.]

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 7 (1995), S. 912-925

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ISSN: 1089-7666

Source: AIP Digital Archive

Topics: Physics

Notes: The primary instability of axisymmetric steady thermocapillary flow in a cylindrical liquid bridge with non-deformable free surface is calculated by a mixed Chebychev-finite difference method. For unit aspect ratio the most dangerous mode has an azimuthal wavenumber m=2. The physical instability mechanisms are studied by analyzing the linear energy balance of the neutral mode. If the Prandtl number is small (Pr(very-much-less-than)1), the bifurcation is stationary. The associated neutral mode is amplified in the shear layer close to the free surface. For large Prandtl number (Pr=4), the basic state becomes linearly unstable to a pair of hydrothermal waves propagating nearly azimuthally. Both mechanisms are compared with those previously proposed in the literature. © 1995 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.868567

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