Hybrid Electric Vehicle Development at the University of California, Davis: The Design of Ground FX

Riley, R. W. Ford and G. D.; Duvall, Mark; Cobene, Robert; Eng, G.H.; Kruetzfeldt, Keith; Frank, Andrew A.

doi:10.4271/940340

Cited by 2 publications

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“…The problem of coupled morphological and convective instabilities has a long history of detailed study [48,49,50,51,42]. In the case of buoyancy-driven convection with a lighter solute and solidification proceeding upward in the gravitational field (leading to unstable stratification), it was found that in most cases the coupling between the instabilities is weak due to a large disparity in unstable wavelengths [52], even though an oscillatory instability may occur [53] in special circumstances. For Rayleigh numbers below the critical value, convection delays the Mullins-Sekerka instability in the limit of small segregation coefficients, where a long-wave equation different from ours can be derived.…”

Section: B Linear Stability Analysismentioning

confidence: 99%

Pattern formation in directional solidification under shear flow. I. Linear stability analysis and basic patterns

et al. 2001

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An asymptotic interface equation for directional solidification near the absolute stability limit is extended by a nonlocal term describing a shear flow parallel to the interface. In the long-wave limit considered, the flow acts destabilizing on a planar interface. Moreover, linear stability analysis suggests that the morphology diagram is modified by the flow near onset of the Mullins-Sekerka instability. Via numerical analysis, the bifurcation structure of the system is shown to change. Besides the known hexagonal cells, structures consisting of stripes arise. Due to its symmetry-breaking properties, the flow term induces a lateral drift of the whole pattern, once the instability has become active. The drift velocity is measured numerically and described analytically in the framework of a linear analysis. At large flow strength, the linear description breaks down, which is accompanied by a transition to flow-dominated morphologies which is described in the following paper. Small and intermediate flows lead to increased order in the lattice structure of the pattern, facilitating the elimination of defects. Locally oscillating structures appear closer to the instability threshold with flow than without.

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