Rayleigh-Taylor instability of a viscous film overlying a passive fluid
dc.contributor.author | Canright, David | |
dc.contributor.author | Morris, Stephen | |
dc.date | 1989-02 | |
dc.date.accessioned | 2013-03-07T21:53:54Z | |
dc.date.available | 2013-03-07T21:53:54Z | |
dc.date.issued | 1989-02 | |
dc.identifier.uri | https://hdl.handle.net/10945/30126 | |
dc.description.abstract | To help understand the stability of cold, viscous boundary layers in geophysical contexts such as lava lakes and mantle convection, the following model problem is analyzed: Beneath a shear-free horizontal boundary, a thin layer of very viscous fluid overlies a deep layer of less viscous, less dense fluid. The initial unstable equilibrium is perturbed, and the growth of the disturbance is followed, including the nonlinear effects of large amplitude, by a long-wave analysis. The result shows that, in the final catastrophic growth, the peak thickness of the upper layer approaches infinity inversely proportional to the remaining time. (This conclusion also applies to fluids with power-law rheology.) Thus nonlinear effects greatly enhance growth. Keywords: Earth models. (EDC) | en_US |
dc.description.sponsorship | Naval Postgraduate School and National Science Foundation, Washington, D.C. 20550 | en_US |
dc.description.uri | http://archive.org/details/rayleightaylorin00canr | |
dc.language.iso | en_US | |
dc.publisher | Monterey, California. Naval Postgraduate School | en_US |
dc.rights | This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. | en_US |
dc.subject.lcsh | BOUNDARY LAYER FLOW | en_US |
dc.title | Rayleigh-Taylor instability of a viscous film overlying a passive fluid | en_US |
dc.type | Technical Report | en_US |
dc.contributor.corporate | Naval Postgraduate School (U.S.) | |
dc.contributor.department | Mathematics | en_US |
dc.subject.author | Rayleigh-Taylor instability mantle convection | en_US |
dc.subject.author | Rayleigh-Taylor instability mantle convection | en_US |
dc.identifier.npsreport | NPS-53-89-012 | |
dc.description.distributionstatement | Approved for public release; distribution is unlimited. |
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