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Crystal growth and fluid mechanics problems in directional solidification (Document No: 19950008136)
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Foster, Michael R. Baker, Gregory R. Tanveer, Saleh |
| Copyright Year | 1994 |
| Description | Broadly speaking, our efforts have been concentrated in two aspects of directional solidification: (A) a more complete theoretical understanding of convection effects in a Bridgman apparatus; and (B) a clear understanding of scalings of various features of dendritic crystal growth in the sensitive limit of small capillary effects. For studies that fall within class A, the principal objectives are as follows: (A1) Derive analytical formulas for segregation, interfacial shape and fluid velocities in mathematically amenable asymptotic limits. (A2) Numerically verify and extend asymptotic results to other ranges of parameter space with a view to a broader physical understanding of the general trends. With respect to studies that fall within class B, the principal objectives include answering the following questions about dendritic crystal growth: (B1) Are there unsteady dendrite solutions in 2-D to the completely nonlinear time evolving equations in the small surface tension limit with only a locally steady tip region with well defined tip radius and velocity? Is anisotropy in surface tension necessary for the existence of such solutions as it is for a true steady state needle crystal? How does the size of such a local region depend on capillary effects, anisotropy and undercooling? (B2) How do the different control parameters affect the nonlinear amplification of tip noise and dendritic side branch coarsening? |
| File Size | 538811 |
| Page Count | 6 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19950008136 |
| Archival Resource Key | ark:/13960/t1jh8gm03 |
| Language | English |
| Publisher Date | 1994-08-01 |
| Access Restriction | Open |
| Subject Keyword | Solid-state Physics Crystal Growth Nonlinear Equations Directional Solidification Crystals Fluid Dynamics Computational Fluid Dynamics Crystals Asymptotic Methods Convection Dendritic Crystals Anisotropy Interfacial Tension Needles Bridgman Method Crystal Structure Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
